void
NonLinearStatic :: updateComponent(TimeStep *tStep, NumericalCmpn cmpn, Domain *d)
//
// updates some component, which is used by numerical method
// to newly reached state. used mainly by numerical method
// when new tangent stiffness is needed during finding
// of new equilibrium stage.
//
{
switch ( cmpn ) {
case NonLinearLhs:
if ( stiffMode == nls_tangentStiffness ) {
stiffnessMatrix->zero(); // zero stiffness matrix
#ifdef VERBOSE
OOFEM_LOG_DEBUG("Assembling tangent stiffness matrix\n");
#endif
this->assemble(*stiffnessMatrix, tStep, TangentAssembler(TangentStiffness),
EModelDefaultEquationNumbering(), d);
} else if ( ( stiffMode == nls_secantStiffness ) || ( stiffMode == nls_secantInitialStiffness && initFlag ) ) {
#ifdef VERBOSE
OOFEM_LOG_DEBUG("Assembling secant stiffness matrix\n");
#endif
stiffnessMatrix->zero(); // zero stiffness matrix
this->assemble(*stiffnessMatrix, tStep, TangentAssembler(SecantStiffness),
EModelDefaultEquationNumbering(), d);
initFlag = 0;
} else if ( ( stiffMode == nls_elasticStiffness ) && ( initFlag ||
( this->giveMetaStep( tStep->giveMetaStepNumber() )->giveFirstStepNumber() == tStep->giveNumber() ) ) ) {
#ifdef VERBOSE
OOFEM_LOG_DEBUG("Assembling elastic stiffness matrix\n");
#endif
stiffnessMatrix->zero(); // zero stiffness matrix
this->assemble(*stiffnessMatrix, tStep, TangentAssembler(ElasticStiffness),
EModelDefaultEquationNumbering(), d);
initFlag = 0;
} else {
// currently no action , this method is mainly intended to
// assemble new tangent stiffness after each iteration
// when secantStiffMode is on, we use the same stiffness
// during iteration process
}
break;
case InternalRhs:
#ifdef VERBOSE
OOFEM_LOG_DEBUG("Updating internal forces\n");
#endif
// update internalForces and internalForcesEBENorm concurrently
this->giveInternalForces(internalForces, true, d->giveNumber(), tStep);
break;
default:
OOFEM_ERROR("Unknown Type of component.");
}
}
void
NonLinearStatic :: assemble(SparseMtrx *answer, TimeStep *tStep, EquationID ut, CharType type,
const UnknownNumberingScheme &s, Domain *domain)
{
#ifdef TIME_REPORT
Timer timer;
timer.startTimer();
#endif
LinearStatic :: assemble(answer, tStep, ut, type, s, domain);
if ( ( nonlocalStiffnessFlag ) && ( type == TangentStiffnessMatrix ) ) {
// add nonlocal contribution
int ielem, nelem = domain->giveNumberOfElements();
for ( ielem = 1; ielem <= nelem; ielem++ ) {
( ( StructuralElement * ) ( domain->giveElement(ielem) ) )->addNonlocalStiffnessContributions(* answer, s, tStep);
}
// print storage statistics
answer->printStatistics();
}
#ifdef TIME_REPORT
timer.stopTimer();
OOFEM_LOG_DEBUG( "NonLinearStatic: User time consumed by assembly: %.2fs\n", timer.getUtime() );
#endif
}
void
NonLinearStatic :: assemble(SparseMtrx &answer, TimeStep *tStep, const MatrixAssembler &ma,
const UnknownNumberingScheme &s, Domain *domain)
{
#ifdef TIME_REPORT
Timer timer;
timer.startTimer();
#endif
LinearStatic :: assemble(answer, tStep, ma, s, domain);
if ( ( nonlocalStiffnessFlag ) && dynamic_cast< const TangentAssembler* >(&ma) ) {
// add nonlocal contribution
for ( auto &elem : domain->giveElements() ) {
static_cast< StructuralElement * >( elem.get() )->addNonlocalStiffnessContributions(answer, s, tStep);
}
// print storage statistics
answer.printStatistics();
}
#ifdef TIME_REPORT
timer.stopTimer();
OOFEM_LOG_DEBUG( "NonLinearStatic: User time consumed by assembly: %.2fs\n", timer.getUtime() );
#endif
}
void
B3SolidMaterial :: predictParametersFrom(double fc, double c, double wc, double ac,
double t0, double alpha1, double alpha2)
{
/*
* Prediction of model parameters - estimation from concrete composition
* and strength
*
* fc - 28-day standard cylinder compression strength in MPa
* c - cement content of concrete in kg/m^3
* wc - ratio (by weight) of water to cementitious material
* ac - ratio (by weight) of aggregate to cement
* t0 - age when drying begins (in days)
* alpha1, alpha2 - influence of cement type and curing
*
* The prediction of the material parameters of the present model
* is restricted to Portland cement concretes with the following
* parameter ranges:
*
* 2500 <= fc <= 10000 [psi] (psi = 6895 Pa)
* 10 <= c <= 45 [lb ft-3] (lb ft-3 = 16.03 kg m-3)
* 0.3 <= wc <= 0.85
* 2.5 <= ac <= 13.5
*
*
* alpha1 = 1.0 for type I cement;
* = 0.85 for type II cement;
* = 1.1 for type III cement;
*
* alpha2 = 0.75 for steam-cured specimens;
* = 1.2 for specimens sealed during curing;
* = 1.0 for specimens cured in water or 100% relative humidity.
*
*/
// Basic creep parameters
// q1 = 0.6e6 / E28; // replaced by the formula dependent on fc
q1 = 126.74271 / sqrt(fc);
q2 = 185.4 * pow(c, 0.5) * pow(fc, -0.9); // [1/TPa]
q3 = 0.29 * pow(wc, 4.) * q2;
q4 = 20.3 * pow(ac, -0.7);
// Shrinkage parameters
if ( this->shMode == B3_AverageShrinkage ) {
kt = 85000 * pow(t0, -0.08) * pow(fc, -0.25); // 85000-> result in [days/m^2] or 8.5-> result in [days/cm^2]
EpsSinf = alpha1 * alpha2 * ( 1.9e-2 * pow(w, 2.1) * pow(fc, -0.28) + 270. ); // exponent corrected: -0.25 -> -0.28
// Drying creep parameter
q5 = 7.57e5 * ( 1. / fc ) * pow(EpsSinf, -0.6);
}
char buff [ 1024 ];
sprintf(buff, "q1=%lf q2=%lf q3=%lf q4=%lf q5=%lf kt=%lf EpsSinf=%lf", q1, q2, q3, q4, q5, kt, EpsSinf);
OOFEM_LOG_DEBUG("B3mat[%d]: estimated params: %s\n", this->number, buff);
}
void
NonLinearStatic :: updateLoadVectors(TimeStep *tStep)
{
MetaStep *mstep = this->giveMetaStep( tStep->giveMetaStepNumber() );
bool isLastMetaStep = ( tStep->giveNumber() == mstep->giveLastStepNumber() );
if ( controlMode == nls_indirectControl ) {
//if ((tStep->giveNumber() == mstep->giveLastStepNumber()) && ir->hasField("fixload")) {
if ( isLastMetaStep ) {
if ( !mstep->giveAttributesRecord()->hasField(_IFT_NonLinearStatic_donotfixload) ) {
OOFEM_LOG_INFO("Fixed load level\n");
//update initialLoadVector
initialLoadVector.add(loadLevel, incrementalLoadVector);
initialLoadVectorOfPrescribed.add(loadLevel, incrementalLoadVectorOfPrescribed);
incrementalLoadVector.zero();
incrementalLoadVectorOfPrescribed.zero();
this->loadInitFlag = 1;
}
//if (!mstep->giveAttributesRecord()->hasField("keepll")) this->loadLevelInitFlag = 1;
}
} else { // direct control
//update initialLoadVector after each step of direct control
//(here the loading is not proportional)
OOFEM_LOG_DEBUG("Fixed load level\n");
initialLoadVector.add(loadLevel, incrementalLoadVector);
initialLoadVectorOfPrescribed.add(loadLevel, incrementalLoadVectorOfPrescribed);
incrementalLoadVector.zero();
incrementalLoadVectorOfPrescribed.zero();
this->loadInitFlag = 1;
}
// if (isLastMetaStep) {
if ( isLastMetaStep && !mstep->giveAttributesRecord()->hasField(_IFT_NonLinearStatic_donotfixload) ) {
#ifdef VERBOSE
OOFEM_LOG_INFO("Reseting load level\n");
#endif
if ( mstepCumulateLoadLevelFlag ) {
cumulatedLoadLevel += loadLevel;
} else {
cumulatedLoadLevel = 0.0;
}
this->loadLevel = 0.0;
}
}
void
NonlocalMaterialExtensionInterface :: updateDomainBeforeNonlocAverage(TimeStep *tStep)
{
Domain *d = this->giveDomain();
if ( d->giveNonlocalUpdateStateCounter() == tStep->giveSolutionStateCounter() ) {
return; // already updated
}
OOFEM_LOG_DEBUG ("Updating Before NonlocAverage\n");
for ( auto &elem : d->giveElements() ) {
elem->updateBeforeNonlocalAverage(tStep);
}
// mark last update counter to prevent multiple updates
d->setNonlocalUpdateStateCounter( tStep->giveSolutionStateCounter() );
}
void DynCompCol :: printStatistics() const
{
int j, nz_ = 0;
#ifndef DynCompCol_USE_STL_SETS
for ( j = 0; j < nColumns; j++ ) {
nz_ += rowind_ [ j ]->giveSize();
}
#else
for ( j = 0; j < nColumns; j++ ) {
nz_ += columns [ j ].size();
#endif
OOFEM_LOG_DEBUG("DynCompCol info: neq is %d, nelem is %d\n", nColumns, nz_);
}
/*********************/
/* Array access */
/*********************/
double &DynCompCol :: at(int i, int j)
{
// increment version
this->version++;
#ifndef DynCompCol_USE_STL_SETS
/*
* for (int t=1; t<=columns_[j-1]->giveSize(); t++)
* if (rowind_[j-1]->at(t) == (i-1)) return columns_[j-1]->at(t);
* printf ("DynCompCol::operator(): Array accessing exception -- out of bounds.\n");
* exit(1);
* return columns_[0]->at(1); // return to suppress compiler warning message
*/
int rowIndx;
if ( ( rowIndx = this->giveRowIndx(j - 1, i - 1) ) ) {
return columns_ [ j - 1 ]->at(rowIndx);
}
OOFEM_ERROR("Array accessing exception -- (%d,%d) out of bounds", i, j);
return columns_ [ 0 ]->at(1); // return to suppress compiler warning message
#else
return this->columns [ j - 1 ] [ i - 1 ];
#endif
}
void NlDEIDynamic :: solveYourselfAt(TimeStep *tStep)
{
//
// Creates system of governing eq's and solves them at given time step.
//
Domain *domain = this->giveDomain(1);
int neq = this->giveNumberOfDomainEquations( 1, EModelDefaultEquationNumbering() );
int nman = domain->giveNumberOfDofManagers();
DofManager *node;
int i, k, j, jj;
double coeff, maxDt, maxOm = 0.;
double prevIncrOfDisplacement, incrOfDisplacement;
if ( initFlag ) {
#ifdef VERBOSE
OOFEM_LOG_DEBUG("Assembling mass matrix\n");
#endif
//
// Assemble mass matrix.
//
this->computeMassMtrx(massMatrix, maxOm, tStep);
if ( drFlag ) {
// If dynamic relaxation: Assemble amplitude load vector.
loadRefVector.resize(neq);
loadRefVector.zero();
this->computeLoadVector(loadRefVector, VM_Total, tStep);
#ifdef __PARALLEL_MODE
// Compute the processor part of load vector norm pMp
this->pMp = 0.0;
double my_pMp = 0.0, coeff = 1.0;
int eqNum, ndofman = domain->giveNumberOfDofManagers();
dofManagerParallelMode dofmanmode;
DofManager *dman;
for ( int dm = 1; dm <= ndofman; dm++ ) {
dman = domain->giveDofManager(dm);
dofmanmode = dman->giveParallelMode();
// Skip all remote and null dofmanagers
coeff = 1.0;
if ( ( dofmanmode == DofManager_remote ) || ( ( dofmanmode == DofManager_null ) ) ) {
continue;
} else if ( dofmanmode == DofManager_shared ) {
coeff = 1. / dman->givePartitionsConnectivitySize();
}
// For shared nodes we add locally an average = 1/givePartitionsConnectivitySize()*contribution,
for ( Dof *dof: *dman ) {
if ( dof->isPrimaryDof() && ( eqNum = dof->__giveEquationNumber() ) ) {
my_pMp += coeff * loadRefVector.at(eqNum) * loadRefVector.at(eqNum) / massMatrix.at(eqNum);
}
}
}
// Sum up the contributions from processors.
MPI_Allreduce(& my_pMp, & pMp, 1, MPI_DOUBLE, MPI_SUM, MPI_COMM_WORLD);
#else
this->pMp = 0.0;
for ( i = 1; i <= neq; i++ ) {
pMp += loadRefVector.at(i) * loadRefVector.at(i) / massMatrix.at(i);
}
#endif
// Solve for rate of loading process (parameter "c") (undamped system assumed),
if ( dumpingCoef < 1.e-3 ) {
c = 3.0 * this->pyEstimate / pMp / Tau / Tau;
} else {
c = this->pyEstimate * Tau * dumpingCoef * dumpingCoef * dumpingCoef / pMp /
( -3.0 / 2.0 + dumpingCoef * Tau + 2.0 * exp(-dumpingCoef * Tau) - 0.5 * exp(-2.0 * dumpingCoef * Tau) );
}
}
initFlag = 0;
}
if ( tStep->isTheFirstStep() ) {
//
// Special init step - Compute displacements at tstep 0.
//
displacementVector.resize(neq);
displacementVector.zero();
previousIncrementOfDisplacementVector.resize(neq);
previousIncrementOfDisplacementVector.zero();
velocityVector.resize(neq);
velocityVector.zero();
accelerationVector.resize(neq);
accelerationVector.zero();
for ( j = 1; j <= nman; j++ ) {
node = domain->giveDofManager(j);
for ( Dof *dof: *node ) {
// Ask for initial values obtained from
// bc (boundary conditions) and ic (initial conditions)
// all dofs are expected to be DisplacementVector type.
if ( !dof->isPrimaryDof() ) {
continue;
}
jj = dof->__giveEquationNumber();
if ( jj ) {
displacementVector.at(jj) = dof->giveUnknown(VM_Total, tStep);
velocityVector.at(jj) = dof->giveUnknown(VM_Velocity, tStep);
accelerationVector.at(jj) = dof->giveUnknown(VM_Acceleration, tStep);
}
}
}
//
// Set-up numerical model.
//
// Try to determine the best deltaT,
maxDt = 2.0 / sqrt(maxOm);
if ( deltaT > maxDt ) {
// Print reduced time step increment and minimum period Tmin
OOFEM_LOG_RELEVANT("deltaT reduced to %e, Tmin is %e\n", maxDt, maxDt * M_PI);
deltaT = maxDt;
tStep->setTimeIncrement(deltaT);
}
for ( j = 1; j <= neq; j++ ) {
previousIncrementOfDisplacementVector.at(j) = velocityVector.at(j) * ( deltaT );
displacementVector.at(j) -= previousIncrementOfDisplacementVector.at(j);
}
#ifdef VERBOSE
OOFEM_LOG_RELEVANT( "\n\nSolving [Step number %8d, Time %15e]\n", tStep->giveNumber(), tStep->giveTargetTime() );
#endif
return;
} // end of init step
#ifdef VERBOSE
OOFEM_LOG_DEBUG("Assembling right hand side\n");
#endif
displacementVector.add(previousIncrementOfDisplacementVector);
// Update solution state counter
tStep->incrementStateCounter();
// Compute internal forces.
this->giveInternalForces(internalForces, false, 1, tStep);
if ( !drFlag ) {
//
// Assembling the element part of load vector.
//
this->computeLoadVector(loadVector, VM_Total, tStep);
//
// Assembling additional parts of right hand side.
//
loadVector.subtract(internalForces);
} else {
// Dynamic relaxation
// compute load factor
pt = 0.0;
#ifdef __PARALLEL_MODE
double my_pt = 0.0, coeff = 1.0;
int eqNum, ndofman = domain->giveNumberOfDofManagers();
dofManagerParallelMode dofmanmode;
DofManager *dman;
for ( int dm = 1; dm <= ndofman; dm++ ) {
dman = domain->giveDofManager(dm);
dofmanmode = dman->giveParallelMode();
// skip all remote and null dofmanagers
coeff = 1.0;
if ( ( dofmanmode == DofManager_remote ) || ( dofmanmode == DofManager_null ) ) {
continue;
} else if ( dofmanmode == DofManager_shared ) {
coeff = 1. / dman->givePartitionsConnectivitySize();
}
// For shared nodes we add locally an average= 1/givePartitionsConnectivitySize()*contribution.
for ( Dof *dof: *dman ) {
if ( dof->isPrimaryDof() && ( eqNum = dof->__giveEquationNumber() ) ) {
my_pt += coeff * internalForces.at(eqNum) * loadRefVector.at(eqNum) / massMatrix.at(eqNum);
}
}
}
// Sum up the contributions from processors.
MPI_Allreduce(& my_pt, & pt, 1, MPI_DOUBLE, MPI_SUM, MPI_COMM_WORLD);
#else
for ( k = 1; k <= neq; k++ ) {
pt += internalForces.at(k) * loadRefVector.at(k) / massMatrix.at(k);
}
#endif
pt = pt / pMp;
if ( dumpingCoef < 1.e-3 ) {
pt += c * ( Tau - tStep->giveTargetTime() ) / Tau;
} else {
pt += c * ( 1.0 - exp( dumpingCoef * ( tStep->giveTargetTime() - Tau ) ) ) / dumpingCoef / Tau;
}
loadVector.resize( this->giveNumberOfDomainEquations( 1, EModelDefaultEquationNumbering() ) );
for ( k = 1; k <= neq; k++ ) {
loadVector.at(k) = pt * loadRefVector.at(k) - internalForces.at(k);
}
// Compute relative error.
double err = 0.0;
#ifdef __PARALLEL_MODE
double my_err = 0.0;
for ( int dm = 1; dm <= ndofman; dm++ ) {
dman = domain->giveDofManager(dm);
dofmanmode = dman->giveParallelMode();
// Skip all remote and null dofmanagers.
coeff = 1.0;
if ( ( dofmanmode == DofManager_remote ) || ( dofmanmode == DofManager_null ) ) {
continue;
} else if ( dofmanmode == DofManager_shared ) {
coeff = 1. / dman->givePartitionsConnectivitySize();
}
// For shared nodes we add locally an average= 1/givePartitionsConnectivitySize()*contribution.
for ( Dof *dof: *dman ) {
if ( dof->isPrimaryDof() && ( eqNum = dof->__giveEquationNumber() ) ) {
my_err += coeff * loadVector.at(eqNum) * loadVector.at(eqNum) / massMatrix.at(eqNum);
}
}
}
// Sum up the contributions from processors.
MPI_Allreduce(& my_err, & err, 1, MPI_DOUBLE, MPI_SUM, MPI_COMM_WORLD);
#else
for ( k = 1; k <= neq; k++ ) {
err = loadVector.at(k) * loadVector.at(k) / massMatrix.at(k);
}
#endif
err = err / ( pMp * pt * pt );
OOFEM_LOG_RELEVANT("Relative error is %e, loadlevel is %e\n", err, pt);
}
for ( j = 1; j <= neq; j++ ) {
coeff = massMatrix.at(j);
loadVector.at(j) +=
coeff * ( ( 1. / ( deltaT * deltaT ) ) - dumpingCoef * 1. / ( 2. * deltaT ) ) *
previousIncrementOfDisplacementVector.at(j);
}
//
// Set-up numerical model
//
/* it is not necesary to call numerical method
* approach used here is not good, but effective enough
* inverse of diagonal mass matrix is done here
*/
//
// call numerical model to solve arised problem - done localy here
//
#ifdef VERBOSE
OOFEM_LOG_RELEVANT( "\n\nSolving [Step number %8d, Time %15e]\n", tStep->giveNumber(), tStep->giveTargetTime() );
#endif
// NM_Status s = nMethod->solve(*massMatrix, loadVector, displacementVector);
// if ( !(s & NM_Success) ) {
// OOFEM_ERROR("No success in solving system. Ma=f");
// }
for ( i = 1; i <= neq; i++ ) {
prevIncrOfDisplacement = previousIncrementOfDisplacementVector.at(i);
incrOfDisplacement = loadVector.at(i) /
( massMatrix.at(i) * ( 1. / ( deltaT * deltaT ) + dumpingCoef / ( 2. * deltaT ) ) );
accelerationVector.at(i) = ( incrOfDisplacement - prevIncrOfDisplacement ) / ( deltaT * deltaT );
velocityVector.at(i) = ( incrOfDisplacement + prevIncrOfDisplacement ) / ( 2. * deltaT );
previousIncrementOfDisplacementVector.at(i) = incrOfDisplacement;
}
}
void
FETICommunicator :: setUpCommunicationMaps(EngngModel *pm)
{
int i, j, l, maxRec;
int globaldofmannum, localNumber, ndofs;
int numberOfBoundaryDofMans;
int source, tag;
IntArray numberOfPartitionBoundaryDofMans(size);
StaticCommunicationBuffer commBuff(MPI_COMM_WORLD);
EModelDefaultEquationNumbering dn;
// FETIBoundaryDofManager *dofmanrec;
// Map containing boundary dof managers records, the key is corresponding global number
// value is corresponding local master dof manager number
map< int, int, less< int > >BoundaryDofManagerMap;
// communication maps of slaves
IntArray **commMaps = new IntArray * [ size ];
// location array
IntArray locNum;
Domain *domain = pm->giveDomain(1);
// check if receiver is master
if ( this->rank != 0 ) {
_error("FETICommunicator::setUpCommunicationMaps : rank 0 (master) expected as receiver");
}
// resize receive buffer
commBuff.resize( commBuff.givePackSize(MPI_INT, 1) );
//
// receive data
//
for ( i = 1; i < size; i++ ) {
commBuff.iRecv(MPI_ANY_SOURCE, FETICommunicator :: NumberOfBoundaryDofManagersMsg);
while ( !commBuff.testCompletion(source, tag) ) {
;
}
// unpack data
commBuff.unpackInt(j);
#ifdef __VERBOSE_PARALLEL
OOFEM_LOG_DEBUG("[process rank %3d]: %-30s: Received data from partition %3d (received %d)\n",
rank, "FETICommunicator :: setUpCommunicationMaps : received number of boundary dofMans", source, j);
#endif
numberOfPartitionBoundaryDofMans.at(source + 1) = j;
commBuff.init();
}
MPI_Barrier(MPI_COMM_WORLD);
// determine the total number of boundary dof managers at master
int nnodes = domain->giveNumberOfDofManagers();
j = 0;
for ( i = 1; i <= nnodes; i++ ) {
if ( domain->giveDofManager(i)->giveParallelMode() == DofManager_shared ) {
j++;
}
}
numberOfPartitionBoundaryDofMans.at(1) = j;
//
// receive list of bounadry dof managers with corresponding number of dofs from each partition
//
// resize the receive buffer to fit all messages
maxRec = 0;
for ( i = 0; i < size; i++ ) {
if ( numberOfPartitionBoundaryDofMans.at(i + 1) > maxRec ) {
maxRec = numberOfPartitionBoundaryDofMans.at(i + 1);
}
}
commBuff.resize( 2 * maxRec * commBuff.givePackSize(MPI_INT, 1) );
// resize communication maps acordingly
for ( i = 0; i < size; i++ ) {
j = numberOfPartitionBoundaryDofMans.at(i + 1);
commMaps [ i ] = new IntArray(j);
}
// add local master contribution first
// loop over all dofmanager data received
i = 0;
for ( j = 1; j <= numberOfPartitionBoundaryDofMans.at(1); j++ ) {
// fing next shared dofman
while ( !( domain->giveDofManager(++i)->giveParallelMode() == DofManager_shared ) ) {
;
}
globaldofmannum = domain->giveDofManager(i)->giveGlobalNumber();
domain->giveDofManager(i)->giveCompleteLocationArray(locNum, dn);
ndofs = 0;
for ( l = 1; l <= locNum.giveSize(); l++ ) {
if ( locNum.at(l) ) {
ndofs++;
}
}
// add corresponding entry to master map of boundary dof managers
if ( ( localNumber = BoundaryDofManagerMap [ globaldofmannum ] ) == 0 ) { // no local counterpart exist
// create it
boundaryDofManList.push_back( FETIBoundaryDofManager(globaldofmannum, 0, ndofs) );
// remember the local number; actual position in vector is localNumber-1
localNumber = BoundaryDofManagerMap [ globaldofmannum ] = ( boundaryDofManList.size() );
boundaryDofManList.back().addPartition(0);
} else { // update the corresponding record
boundaryDofManList [ localNumber - 1 ].addPartition(0);
if ( boundaryDofManList [ localNumber - 1 ].giveNumberOfDofs() != ndofs ) {
_error("FETICommunicator :: setUpCommunicationMaps : ndofs size mismatch");
}
}
// remember communication map for particular partition
commMaps [ 0 ]->at(j) = localNumber;
}
//
// receive data from slave partitions
//
for ( i = 1; i < size; i++ ) {
commBuff.iRecv(MPI_ANY_SOURCE, FETICommunicator :: BoundaryDofManagersRecMsg);
while ( !commBuff.testCompletion(source, tag) ) {
;
}
// unpack data
#ifdef __VERBOSE_PARALLEL
OOFEM_LOG_DEBUG("[process rank %3d]: %-30s: Received data from partition %3d\n",
rank, "FETICommunicator :: setUpCommunicationMaps : received boundary dofMans records", source);
#endif
// loop over all dofmanager data received
for ( j = 1; j <= numberOfPartitionBoundaryDofMans.at(source + 1); j++ ) {
commBuff.unpackInt(globaldofmannum);
commBuff.unpackInt(ndofs);
// add corresponding entry to master map of boundary dof managers
if ( ( localNumber = BoundaryDofManagerMap [ globaldofmannum ] ) == 0 ) { // no local counterpart exist
// create it
boundaryDofManList.push_back( FETIBoundaryDofManager(globaldofmannum, 0, ndofs) );
// remember the local number; actual position in vector is localNumber-1
localNumber = BoundaryDofManagerMap [ globaldofmannum ] = ( boundaryDofManList.size() );
boundaryDofManList.back().addPartition(source);
} else { // update the corresponding record
boundaryDofManList [ localNumber - 1 ].addPartition(source);
if ( boundaryDofManList [ localNumber - 1 ].giveNumberOfDofs() != ndofs ) {
_error("FETICommunicator :: setUpCommunicationMaps : ndofs size mismatch");
}
}
// remember communication map for particular partition
commMaps [ source ]->at(j) = localNumber;
}
commBuff.init();
}
MPI_Barrier(MPI_COMM_WORLD);
//
// assign code numbers to boundary dofs
//
numberOfEquations = 0;
numberOfBoundaryDofMans = boundaryDofManList.size();
for ( i = 1; i <= numberOfBoundaryDofMans; i++ ) {
boundaryDofManList [ i - 1 ].setCodeNumbers(numberOfEquations); // updates numberOfEquations
}
// store the commMaps
for ( i = 0; i < size; i++ ) {
if ( i != 0 ) {
this->giveProcessCommunicator(i)->setToSendArry(engngModel, * commMaps [ i ], 0);
this->giveProcessCommunicator(i)->setToRecvArry(engngModel, * commMaps [ i ], 0);
} else {
masterCommMap = * commMaps [ i ];
}
delete commMaps [ i ];
}
delete commMaps;
MPI_Barrier(MPI_COMM_WORLD);
#ifdef __VERBOSE_PARALLEL
VERBOSEPARALLEL_PRINT("FETICommunicator::setUpCommunicationMaps", "communication maps setup finished", rank);
#endif
}
void AbaqusUserMaterial :: giveRealStressVector(FloatArray &answer, MatResponseForm form, GaussPoint *gp,
const FloatArray &reducedStrain, TimeStep *tStep)
{
AbaqusUserMaterialStatus *ms = static_cast< AbaqusUserMaterialStatus * >( this->giveStatus(gp) );
/* User-defined material name, left justified. Some internal material models are given names starting with
* the “ABQ_” character string. To avoid conflict, you should not use “ABQ_” as the leading string for
* CMNAME. */
//char cmname[80];
MaterialMode mMode = gp->giveMaterialMode();
// Sizes of the tensors.
int ndi;
int nshr;
///@todo Check how to deal with large deformations.
///@todo Check order of entries in the Voigt notation (which order does Abaqus use? convert to that).
if ( mMode == _3dMat ) {
ndi = 3;
nshr = 3;
} else if ( mMode == _PlaneStress ) {
ndi = 2;
nshr = 1;
} else if ( mMode == _PlaneStrain ) {
ndi = 3;
nshr = 1;
} /*else if ( mMode == _3dMat_F ) {
* ndi = 3;
* nshr = 6;
* } */
else if ( mMode == _1dMat ) {
ndi = 1;
nshr = 0;
} else {
ndi = nshr = 0;
OOFEM_ERROR2( "AbaqusUserMaterial :: giveRealStressVector : unsupported material mode (%s)", __MaterialModeToString(mMode) );
}
int ntens = ndi + nshr;
FloatArray stress(ntens);
FloatArray strain = ms->giveStrainVector();
FloatArray strainIncrement;
strainIncrement.beDifferenceOf(reducedStrain, strain);
FloatArray state = ms->giveStateVector();
FloatMatrix jacobian(ntens, ntens);
int numProperties = this->properties.giveSize();
// Temperature and increment
double temp = 0.0, dtemp = 0.0;
// Times and increment
double dtime = tStep->giveTimeIncrement();
///@todo Check this. I'm just guessing. Maybe intrinsic time instead?
double time [ 2 ] = {
tStep->giveTargetTime() - dtime, tStep->giveTargetTime()
};
double pnewdt = 1.0; ///@todo Right default value? umat routines may change this (although we ignore it)
/* Specific elastic strain energy, plastic dissipation, and “creep” dissipation, respectively. These are passed
* in as the values at the start of the increment and should be updated to the corresponding specific energy
* values at the end of the increment. They have no effect on the solution, except that they are used for
* energy output. */
double sse, spd, scd;
// Outputs only in a fully coupled thermal-stress analysis:
double rpl = 0.0; // Volumetric heat generation per unit time at the end of the increment caused by mechanical working of the material.
FloatArray ddsddt(ntens); // Variation of the stress increments with respect to the temperature.
FloatArray drplde(ntens); // Variation of RPL with respect to the strain increments.
double drpldt = 0.0; // Variation of RPL with respect to the temperature.
/* An array containing the coordinates of this point. These are the current coordinates if geometric
* nonlinearity is accounted for during the step (see “Procedures: overview,” Section 6.1.1); otherwise,
* the array contains the original coordinates of the point */
FloatArray coords;
gp->giveElement()->computeGlobalCoordinates( coords, * gp->giveCoordinates() ); ///@todo Large deformations?
/* Rotation increment matrix. This matrix represents the increment of rigid body rotation of the basis
* system in which the components of stress (STRESS) and strain (STRAN) are stored. It is provided so
* that vector- or tensor-valued state variables can be rotated appropriately in this subroutine: stress and
* strain components are already rotated by this amount before UMAT is called. This matrix is passed in
* as a unit matrix for small-displacement analysis and for large-displacement analysis if the basis system
* for the material point rotates with the material (as in a shell element or when a local orientation is used).*/
FloatMatrix drot(3, 3);
drot.beUnitMatrix();
/* Characteristic element length, which is a typical length of a line across an element for a first-order
* element; it is half of the same typical length for a second-order element. For beams and trusses it is a
* characteristic length along the element axis. For membranes and shells it is a characteristic length in
* the reference surface. For axisymmetric elements it is a characteristic length in the
* plane only.
* For cohesive elements it is equal to the constitutive thickness.*/
double celent = 0.0; /// @todo Include the characteristic element length
/* Array containing the deformation gradient at the beginning of the increment. See the discussion
* regarding the availability of the deformation gradient for various element types. */
FloatMatrix dfgrd0(3, 3);
/* Array containing the deformation gradient at the end of the increment. The components of this array
* are set to zero if nonlinear geometric effects are not included in the step definition associated with
* this increment. See the discussion regarding the availability of the deformation gradient for various
* element types. */
FloatMatrix dfgrd1(3, 3);
int noel = gp->giveElement()->giveNumber(); // Element number.
int npt = 0; // Integration point number.
int layer = 0; // Layer number (for composite shells and layered solids)..
int kspt = 0.0; // Section point number within the current layer.
int kstep = 0; // Step number.
int kinc = 0; // Increment number.
///@todo No idea about these parameters
double predef;
double dpred;
OOFEM_LOG_DEBUG("AbaqusUserMaterial :: giveRealStressVector - Calling subroutine");
this->umat(stress.givePointer(), // STRESS
state.givePointer(), // STATEV
jacobian.givePointer(), // DDSDDE
& sse, // SSE
& spd, // SPD
& scd, // SCD
& rpl, // RPL
ddsddt.givePointer(), // DDSDDT
drplde.givePointer(), // DRPLDE
& drpldt, // DRPLDT
strain.givePointer(), // STRAN
strainIncrement.givePointer(), // DSTRAN
time, // TIME
& dtime, // DTIME
& temp, // TEMP
& dtemp, // DTEMP
& predef, // PREDEF
& dpred, // DPRED
this->cmname, // CMNAME
& ndi, // NDI
& nshr, // NSHR
& ntens, // NTENS
& numState, // NSTATV
properties.givePointer(), // PROPS
& numProperties, // NPROPS
coords.givePointer(), // COORDS
drot.givePointer(), // DROT
& pnewdt, // PNEWDT
& celent, // CELENT
dfgrd0.givePointer(), // DFGRD0
dfgrd1.givePointer(), // DFGRD1
& noel, // NOEL
& npt, // NPT
& layer, // LAYER
& kspt, // KSPT
& kstep, // KSTEP
& kinc); // KINC
ms->letTempStrainVectorBe(reducedStrain);
ms->letTempStressVectorBe(stress);
ms->letTempStateVectorBe(state);
ms->letTempTangentBe(jacobian);
answer = stress;
OOFEM_LOG_DEBUG("AbaqusUserMaterial :: giveRealStressVector - Calling subroutine was successful");
}
NM_Status
SpoolesSolver :: solve(SparseMtrx *A, FloatArray *b, FloatArray *x)
{
int errorValue, mtxType, symmetryflag;
int seed = 30145, pivotingflag = 0;
int *oldToNew, *newToOld;
double droptol = 0.0, tau = 1.e300;
double cpus [ 10 ];
int stats [ 20 ];
ChvManager *chvmanager;
Chv *rootchv;
InpMtx *mtxA;
DenseMtx *mtxY, *mtxX;
// first check whether Lhs is defined
if ( !A ) {
_error("solveYourselfAt: unknown Lhs");
}
// and whether Rhs
if ( !b ) {
_error("solveYourselfAt: unknown Rhs");
}
// and whether previous Solution exist
if ( !x ) {
_error("solveYourselfAt: unknown solution array");
}
if ( x->giveSize() != b->giveSize() ) {
_error("solveYourselfAt: size mismatch");
}
Timer timer;
timer.startTimer();
if ( A->giveType() != SMT_SpoolesMtrx ) {
_error("solveYourselfAt: SpoolesSparseMtrx Expected");
}
mtxA = ( ( SpoolesSparseMtrx * ) A )->giveInpMtrx();
mtxType = ( ( SpoolesSparseMtrx * ) A )->giveValueType();
symmetryflag = ( ( SpoolesSparseMtrx * ) A )->giveSymmetryFlag();
int i;
int neqns = A->giveNumberOfRows();
int nrhs = 1;
/* convert right-hand side to DenseMtx */
mtxY = DenseMtx_new();
DenseMtx_init(mtxY, mtxType, 0, 0, neqns, nrhs, 1, neqns);
DenseMtx_zero(mtxY);
for ( i = 0; i < neqns; i++ ) {
DenseMtx_setRealEntry( mtxY, i, 0, b->at(i + 1) );
}
if ( ( Lhs != A ) || ( this->lhsVersion != A->giveVersion() ) ) {
//
// lhs has been changed -> new factorization
//
Lhs = A;
this->lhsVersion = A->giveVersion();
if ( frontmtx ) {
FrontMtx_free(frontmtx);
}
if ( newToOldIV ) {
IV_free(newToOldIV);
}
if ( oldToNewIV ) {
IV_free(oldToNewIV);
}
if ( frontETree ) {
ETree_free(frontETree);
}
if ( symbfacIVL ) {
IVL_free(symbfacIVL);
}
if ( mtxmanager ) {
SubMtxManager_free(mtxmanager);
}
if ( graph ) {
Graph_free(graph);
}
/*
* -------------------------------------------------
* STEP 3 : find a low-fill ordering
* (1) create the Graph object
* (2) order the graph using multiple minimum degree
* -------------------------------------------------
*/
int nedges;
graph = Graph_new();
adjIVL = InpMtx_fullAdjacency(mtxA);
nedges = IVL_tsize(adjIVL);
Graph_init2(graph, 0, neqns, 0, nedges, neqns, nedges, adjIVL,
NULL, NULL);
if ( msglvl > 2 ) {
fprintf(msgFile, "\n\n graph of the input matrix");
Graph_writeForHumanEye(graph, msgFile);
fflush(msgFile);
}
frontETree = orderViaMMD(graph, seed, msglvl, msgFile);
if ( msglvl > 0 ) {
fprintf(msgFile, "\n\n front tree from ordering");
ETree_writeForHumanEye(frontETree, msgFile);
fflush(msgFile);
}
/*
* ----------------------------------------------------
* STEP 4: get the permutation, permute the front tree,
* permute the matrix and right hand side, and
* get the symbolic factorization
* ----------------------------------------------------
*/
oldToNewIV = ETree_oldToNewVtxPerm(frontETree);
oldToNew = IV_entries(oldToNewIV);
newToOldIV = ETree_newToOldVtxPerm(frontETree);
newToOld = IV_entries(newToOldIV);
ETree_permuteVertices(frontETree, oldToNewIV);
InpMtx_permute(mtxA, oldToNew, oldToNew);
if ( symmetryflag == SPOOLES_SYMMETRIC ||
symmetryflag == SPOOLES_HERMITIAN ) {
InpMtx_mapToUpperTriangle(mtxA);
}
InpMtx_changeCoordType(mtxA, INPMTX_BY_CHEVRONS);
InpMtx_changeStorageMode(mtxA, INPMTX_BY_VECTORS);
symbfacIVL = SymbFac_initFromInpMtx(frontETree, mtxA);
if ( msglvl > 2 ) {
fprintf(msgFile, "\n\n old-to-new permutation vector");
IV_writeForHumanEye(oldToNewIV, msgFile);
fprintf(msgFile, "\n\n new-to-old permutation vector");
IV_writeForHumanEye(newToOldIV, msgFile);
fprintf(msgFile, "\n\n front tree after permutation");
ETree_writeForHumanEye(frontETree, msgFile);
fprintf(msgFile, "\n\n input matrix after permutation");
InpMtx_writeForHumanEye(mtxA, msgFile);
fprintf(msgFile, "\n\n symbolic factorization");
IVL_writeForHumanEye(symbfacIVL, msgFile);
fflush(msgFile);
}
Tree_writeToFile(frontETree->tree, (char*)"haggar.treef");
/*--------------------------------------------------------------------*/
/*
* ------------------------------------------
* STEP 5: initialize the front matrix object
* ------------------------------------------
*/
frontmtx = FrontMtx_new();
mtxmanager = SubMtxManager_new();
SubMtxManager_init(mtxmanager, NO_LOCK, 0);
FrontMtx_init(frontmtx, frontETree, symbfacIVL, mtxType, symmetryflag,
FRONTMTX_DENSE_FRONTS, pivotingflag, NO_LOCK, 0, NULL,
mtxmanager, msglvl, msgFile);
/*--------------------------------------------------------------------*/
/*
* -----------------------------------------
* STEP 6: compute the numeric factorization
* -----------------------------------------
*/
chvmanager = ChvManager_new();
ChvManager_init(chvmanager, NO_LOCK, 1);
DVfill(10, cpus, 0.0);
IVfill(20, stats, 0);
rootchv = FrontMtx_factorInpMtx(frontmtx, mtxA, tau, droptol,
chvmanager, & errorValue, cpus, stats, msglvl, msgFile);
ChvManager_free(chvmanager);
if ( msglvl > 0 ) {
fprintf(msgFile, "\n\n factor matrix");
FrontMtx_writeForHumanEye(frontmtx, msgFile);
fflush(msgFile);
}
if ( rootchv != NULL ) {
fprintf(msgFile, "\n\n matrix found to be singular\n");
exit(-1);
}
if ( errorValue >= 0 ) {
fprintf(msgFile, "\n\n error encountered at front %d", errorValue);
exit(-1);
}
/*--------------------------------------------------------------------*/
/*
* --------------------------------------
* STEP 7: post-process the factorization
* --------------------------------------
*/
FrontMtx_postProcess(frontmtx, msglvl, msgFile);
if ( msglvl > 2 ) {
fprintf(msgFile, "\n\n factor matrix after post-processing");
FrontMtx_writeForHumanEye(frontmtx, msgFile);
fflush(msgFile);
}
/*--------------------------------------------------------------------*/
}
/*
* ----------------------------------------------------
* STEP 4: permute the right hand side
* ----------------------------------------------------
*/
DenseMtx_permuteRows(mtxY, oldToNewIV);
if ( msglvl > 2 ) {
fprintf(msgFile, "\n\n right hand side matrix after permutation");
DenseMtx_writeForHumanEye(mtxY, msgFile);
}
/*
* -------------------------------
* STEP 8: solve the linear system
* -------------------------------
*/
mtxX = DenseMtx_new();
DenseMtx_init(mtxX, mtxType, 0, 0, neqns, nrhs, 1, neqns);
DenseMtx_zero(mtxX);
FrontMtx_solve(frontmtx, mtxX, mtxY, mtxmanager,
cpus, msglvl, msgFile);
if ( msglvl > 2 ) {
fprintf(msgFile, "\n\n solution matrix in new ordering");
DenseMtx_writeForHumanEye(mtxX, msgFile);
fflush(msgFile);
}
/*--------------------------------------------------------------------*/
/*
* -------------------------------------------------------
* STEP 9: permute the solution into the original ordering
* -------------------------------------------------------
*/
DenseMtx_permuteRows(mtxX, newToOldIV);
if ( msglvl > 0 ) {
fprintf(msgFile, "\n\n solution matrix in original ordering");
DenseMtx_writeForHumanEye(mtxX, msgFile);
fflush(msgFile);
}
// DenseMtx_writeForMatlab(mtxX, "x", msgFile) ;
/*--------------------------------------------------------------------*/
/* fetch data to oofem vectors */
double *xptr = x->givePointer();
for ( i = 0; i < neqns; i++ ) {
DenseMtx_realEntry(mtxX, i, 0, xptr + i);
// printf ("x(%d) = %e\n", i+1, *(xptr+i));
}
// DenseMtx_copyRowIntoVector(mtxX, 0, x->givePointer());
timer.stopTimer();
OOFEM_LOG_DEBUG( "SpoolesSolver info: user time consumed by solution: %.2fs\n", timer.getUtime() );
/*
* -----------
* free memory
* -----------
*/
DenseMtx_free(mtxX);
DenseMtx_free(mtxY);
/*--------------------------------------------------------------------*/
return ( 1 );
}
void FreeWarping :: solveYourselfAt(TimeStep *tStep)
{
//
// creates system of governing eq's and solves them at given time step
//
// first assemble problem at current time step
if ( initFlag ) {
#ifdef VERBOSE
OOFEM_LOG_DEBUG("Assembling stiffness matrix\n");
#endif
//
// first step assemble stiffness Matrix
//
stiffnessMatrix = classFactory.createSparseMtrx(sparseMtrxType);
if ( stiffnessMatrix == NULL ) {
OOFEM_ERROR("sparse matrix creation failed");
}
stiffnessMatrix->buildInternalStructure( this, 1, EModelDefaultEquationNumbering() );
this->assemble( *stiffnessMatrix, tStep, TangentAssembler(TangentStiffness),
EModelDefaultEquationNumbering(), this->giveDomain(1) );
initFlag = 0;
}
#ifdef VERBOSE
OOFEM_LOG_DEBUG("Assembling load\n");
#endif
//
// allocate space for displacementVector
//
displacementVector.resize( this->giveNumberOfDomainEquations( 1, EModelDefaultEquationNumbering() ) );
displacementVector.zero();
//
// assembling the load vector
//
loadVector.resize( this->giveNumberOfDomainEquations( 1, EModelDefaultEquationNumbering() ) );
loadVector.zero();
this->assembleVector( loadVector, tStep, ExternalForceAssembler(), VM_Total,
EModelDefaultEquationNumbering(), this->giveDomain(1) );
//
// internal forces (from Dirichlet b.c's, or thermal expansion, etc.)
//
// no such forces exist for the free warping problem
/*
FloatArray internalForces( this->giveNumberOfDomainEquations( 1, EModelDefaultEquationNumbering() ) );
internalForces.zero();
this->assembleVector( internalForces, tStep, InternalForceAssembler(), VM_Total,
EModelDefaultEquationNumbering(), this->giveDomain(1) );
loadVector.subtract(internalForces);
*/
this->updateSharedDofManagers(loadVector, EModelDefaultEquationNumbering(), ReactionExchangeTag);
//
// set-up numerical model
//
this->giveNumericalMethod( this->giveMetaStep( tStep->giveMetaStepNumber() ) );
//
// call numerical model to solve arose problem
//
#ifdef VERBOSE
OOFEM_LOG_INFO("\n\nSolving ...\n\n");
#endif
NM_Status s = nMethod->solve(*stiffnessMatrix, loadVector, displacementVector);
if ( !( s & NM_Success ) ) {
OOFEM_ERROR("No success in solving system.");
}
tStep->incrementStateCounter(); // update solution state counter
}
int DynCompCol :: buildInternalStructure(EngngModel *eModel, int di, const UnknownNumberingScheme &s)
{
/*
* int neq = eModel -> giveNumberOfDomainEquations (di);
*
**#ifndef DynCompCol_USE_STL_SETS
* IntArray loc;
* Domain* domain = eModel->giveDomain(di);
* int nelem = domain -> giveNumberOfElements() ;
* int i,ii,j,jj,n, indx;
* Element* elem;
* IntArray colItems(neq);
* // allocation map
* char* map = new char[neq*neq];
* if (map == NULL) {
* printf ("CompCol::buildInternalStructure - map creation failed");
* exit (1);
* }
*
* for (i=0; i<neq*neq; i++)
* map[i]=0;
*
*
* for (n=1 ; n<=nelem ; n++) {
* elem = domain -> giveElement(n);
* elem -> giveLocationArray (loc) ;
*
* for (i=1 ; i <= loc.giveSize() ; i++) {
* if ((ii = loc.at(i))) {
* for (j=1; j <= loc.giveSize() ; j++) {
* if ((jj=loc.at(j)))
* if (map[(ii-1)*neq+jj-1] == 0) {
* map[(ii-1)*neq+jj-1] = 1;
* colItems.at(ii) ++;
* }
* }
* }
* }
* }
*
* if (rowind_) {
* for (i=0; i< nColumns; i++) delete this->rowind_[i];
* delete this->rowind_;
* }
* rowind_ = (IntArray**) new (IntArray*)[neq];
* for (j=0; j<neq; j++) rowind_[j] = new IntArray(colItems(j));
*
* indx = 1;
* for (j=0; j<neq; j++) { // column loop
* indx = 1;
* for (i=0; i<neq; i++) { // row loop
* if (map[i*neq+j]) {
* rowind_[j]->at(indx) = i;
* indx++;
* }
* }
* }
*
* // delete map
* delete (map);
*
* // allocate value array
* if (columns_) {
* for (i=0; i< nColumns; i++) delete this->columns_[i];
* delete this->columns_;
* }
* columns_= (FloatArray**) new (FloatArray*)[neq];
* int nz_ = 0;
* for (j=0; j<neq; j++) {
* columns_[j] = new FloatArray (colItems(j));
* nz_ += colItems(j);
* }
*
* printf ("\nDynCompCol info: neq is %d, nelem is %d\n",neq,nz_);
**#else
* int i,j;
* if (columns) {
* for (i=0; i< nColumns; i++) delete this->columns[i];
* delete this->columns;
* }
* columns= new std::map<int, double>*[neq];
* for (j=0; j<neq; j++) {
* columns[j] = new std::map<int, double>;
* }
*
**#endif
*
* nColumns = nRows = neq;
* // increment version
* this->version++;
*
* return true;
*/
int neq = eModel->giveNumberOfDomainEquations(di, s);
#ifndef DynCompCol_USE_STL_SETS
IntArray loc;
Domain *domain = eModel->giveDomain(di);
int nelem = domain->giveNumberOfElements();
int i, ii, j, jj, n;
Element *elem;
nColumns = nRows = neq;
if ( rowind_ ) {
for ( i = 0; i < nColumns; i++ ) {
delete this->rowind_ [ i ];
}
delete this->rowind_;
}
rowind_ = ( IntArray ** ) new IntArray * [ neq ];
for ( j = 0; j < neq; j++ ) {
rowind_ [ j ] = new IntArray();
}
// allocate value array
if ( columns_ ) {
for ( i = 0; i < nColumns; i++ ) {
delete this->columns_ [ i ];
}
delete this->columns_;
}
columns_ = ( FloatArray ** ) new FloatArray * [ neq ];
for ( j = 0; j < neq; j++ ) {
columns_ [ j ] = new FloatArray();
}
for ( n = 1; n <= nelem; n++ ) {
elem = domain->giveElement(n);
elem->giveLocationArray(loc, s);
for ( i = 1; i <= loc.giveSize(); i++ ) {
if ( ( ii = loc.at(i) ) ) {
for ( j = 1; j <= loc.giveSize(); j++ ) {
if ( ( jj = loc.at(j) ) ) {
this->insertRowInColumn(ii - 1, jj - 1);
}
}
}
}
}
// loop over active boundary conditions
int nbc = domain->giveNumberOfBoundaryConditions();
std :: vector< IntArray >r_locs;
std :: vector< IntArray >c_locs;
for ( int i = 1; i <= nbc; ++i ) {
ActiveBoundaryCondition *bc = dynamic_cast< ActiveBoundaryCondition * >( domain->giveBc(i) );
if ( bc != NULL ) {
bc->giveLocationArrays(r_locs, c_locs, UnknownCharType, s, s);
for ( std :: size_t k = 0; k < r_locs.size(); k++ ) {
IntArray &krloc = r_locs [ k ];
IntArray &kcloc = c_locs [ k ];
for ( int i = 1; i <= krloc.giveSize(); i++ ) {
if ( ( ii = krloc.at(i) ) ) {
for ( int j = 1; j <= kcloc.giveSize(); j++ ) {
if ( ( jj = kcloc.at(j) ) ) {
this->insertRowInColumn(jj - 1, ii - 1);
}
}
}
}
}
}
}
int nz_ = 0;
for ( j = 0; j < neq; j++ ) {
nz_ += this->rowind_ [ j ]->giveSize();
}
OOFEM_LOG_DEBUG("DynCompCol info: neq is %d, nelem is %d\n", neq, nz_);
#else
nColumns = nRows = neq;
columns.resize( neq );
for ( auto &col: columns ) {
col.clear();
}
#endif
// increment version
this->version++;
return true;
}
int DSSMatrix :: buildInternalStructure(EngngModel *eModel, int di, const UnknownNumberingScheme &s)
{
IntArray loc;
Domain *domain = eModel->giveDomain(di);
int neq = eModel->giveNumberOfDomainEquations(di, s);
unsigned long indx;
// allocation map
std :: vector< std :: set< int > >columns(neq);
unsigned long nz_ = 0;
for ( auto &elem : domain->giveElements() ) {
elem->giveLocationArray(loc, s);
for ( int ii : loc ) {
if ( ii > 0 ) {
for ( int jj : loc ) {
if ( jj > 0 ) {
columns [ jj - 1 ].insert(ii - 1);
}
}
}
}
}
// loop over active boundary conditions
std::vector<IntArray> r_locs;
std::vector<IntArray> c_locs;
for ( auto &gbc : domain->giveBcs() ) {
ActiveBoundaryCondition *bc = dynamic_cast< ActiveBoundaryCondition * >( gbc.get() );
if ( bc != NULL ) {
bc->giveLocationArrays(r_locs, c_locs, UnknownCharType, s, s);
for (std::size_t k = 0; k < r_locs.size(); k++) {
IntArray &krloc = r_locs[k];
IntArray &kcloc = c_locs[k];
for ( int ii : krloc ) {
if ( ii > 0 ) {
for ( int jj : kcloc ) {
if ( jj > 0 ) {
columns [ jj - 1 ].insert(ii - 1);
}
}
}
}
}
}
}
for ( int i = 0; i < neq; i++ ) {
nz_ += columns [ i ].size();
}
unsigned long *rowind_ = new unsigned long [ nz_ ];
unsigned long *colptr_ = new unsigned long [ neq + 1 ];
if ( ( rowind_ == NULL ) || ( colptr_ == NULL ) ) {
OOFEM_ERROR("free store exhausted, exiting");
}
indx = 0;
for ( int j = 0; j < neq; j++ ) { // column loop
colptr_ [ j ] = indx;
for ( auto &val : columns [ j ] ) { // row loop
rowind_ [ indx++ ] = val;
}
}
colptr_ [ neq ] = indx;
_sm.reset( new SparseMatrixF(neq, NULL, rowind_, colptr_, 0, 0, true) );
if ( !_sm ) {
OOFEM_FATAL("free store exhausted, exiting");
}
/*
* Assemble block to equation mapping information
*/
bool _succ = true;
int _ndofs, _neq, ndofmans = domain->giveNumberOfDofManagers();
int ndofmansbc = 0;
///@todo This still misses element internal dofs.
// count number of internal dofmans on active bc
for ( auto &bc : domain->giveBcs() ) {
ndofmansbc += bc->giveNumberOfInternalDofManagers();
}
int bsize = 0;
if ( ndofmans > 0 ) {
bsize = domain->giveDofManager(1)->giveNumberOfDofs();
}
long *mcn = new long [ (ndofmans+ndofmansbc) * bsize ];
long _c = 0;
if ( mcn == NULL ) {
OOFEM_FATAL("free store exhausted, exiting");
}
for ( auto &dman : domain->giveDofManagers() ) {
_ndofs = dman->giveNumberOfDofs();
if ( _ndofs > bsize ) {
_succ = false;
break;
}
for ( Dof *dof: *dman ) {
if ( dof->isPrimaryDof() ) {
_neq = dof->giveEquationNumber(s);
if ( _neq > 0 ) {
mcn [ _c++ ] = _neq - 1;
} else {
mcn [ _c++ ] = -1; // no corresponding row in sparse mtrx structure
}
} else {
mcn [ _c++ ] = -1; // no corresponding row in sparse mtrx structure
}
}
for ( int i = _ndofs + 1; i <= bsize; i++ ) {
mcn [ _c++ ] = -1; // no corresponding row in sparse mtrx structure
}
}
// loop over internal dofmans of active bc
for ( auto &bc : domain->giveBcs() ) {
int ndman = bc->giveNumberOfInternalDofManagers();
for (int idman = 1; idman <= ndman; idman ++) {
DofManager *dman = bc->giveInternalDofManager(idman);
_ndofs = dman->giveNumberOfDofs();
if ( _ndofs > bsize ) {
_succ = false;
break;
}
for ( Dof *dof: *dman ) {
if ( dof->isPrimaryDof() ) {
_neq = dof->giveEquationNumber(s);
if ( _neq > 0 ) {
mcn [ _c++ ] = _neq - 1;
} else {
mcn [ _c++ ] = -1; // no corresponding row in sparse mtrx structure
}
}
}
for ( int i = _ndofs + 1; i <= bsize; i++ ) {
mcn [ _c++ ] = -1; // no corresponding row in sparse mtrx structure
}
}
}
if ( _succ ) {
_dss->SetMatrixPattern(_sm.get(), bsize);
_dss->LoadMCN(ndofmans+ndofmansbc, bsize, mcn);
} else {
OOFEM_LOG_INFO("DSSMatrix: using assumed block structure");
_dss->SetMatrixPattern(_sm.get(), bsize);
}
_dss->PreFactorize();
// zero matrix, put unity on diagonal with supported dofs
_dss->LoadZeros();
delete[] mcn;
OOFEM_LOG_DEBUG("DSSMatrix info: neq is %d, bsize is %d\n", neq, nz_);
// increment version
this->version++;
return true;
}
NM_Status
DynamicRelaxationSolver :: solve(SparseMtrx &k, FloatArray &R, FloatArray *R0, FloatArray *iR,
FloatArray &X, FloatArray &dX, FloatArray &F,
const FloatArray &internalForcesEBENorm, double &l, referenceLoadInputModeType rlm,
int &nite, TimeStep *tStep)
{
// residual, iteration increment of solution, total external force
FloatArray rhs, ddX, RT, X_0, X_n, X_n1, M;
double RRT;
int neq = X.giveSize();
NM_Status status = NM_None;
bool converged, errorOutOfRangeFlag;
ParallelContext *parallel_context = engngModel->giveParallelContext( this->domain->giveNumber() );
if ( engngModel->giveProblemScale() == macroScale ) {
OOFEM_LOG_INFO("DRSolver: Iteration");
if ( rtolf.at(1) > 0.0 ) {
OOFEM_LOG_INFO(" ForceError");
}
if ( rtold.at(1) > 0.0 ) {
OOFEM_LOG_INFO(" DisplError");
}
OOFEM_LOG_INFO("\n----------------------------------------------------------------------------\n");
}
// compute total load R = R+R0
l = 1.0;
RT = R;
if ( R0 ) {
RT.add(* R0);
}
RRT = parallel_context->localNorm(RT);
RRT *= RRT;
ddX.resize(neq);
ddX.zero();
X_0 = X;
X_n = X_0;
X_n1 = X_0;
// Compute the mass "matrix" (lumped, only storing the diagonal)
M.resize(neq);
M.zero();
engngModel->assembleVector(M, tStep, LumpedMassVectorAssembler(), VM_Total, EModelDefaultEquationNumbering(), domain);
double Le = -1.0;
for ( auto &elem : domain->giveElements() ) {
double size = elem->computeMeanSize();
if ( Le < 0 || Le >= size ) {
Le = size;
}
}
for ( nite = 0; ; ++nite ) {
// Compute the residual
engngModel->updateComponent(tStep, InternalRhs, domain);
rhs.beDifferenceOf(RT, F);
converged = this->checkConvergence(RT, F, rhs, ddX, X, RRT, internalForcesEBENorm, nite, errorOutOfRangeFlag);
if ( errorOutOfRangeFlag ) {
status = NM_NoSuccess;
dX.zero();
X.zero();
OOFEM_WARNING("Divergence reached after %d iterations", nite);
break;
} else if ( converged && ( nite >= minIterations ) ) {
status |= NM_Success;
break;
} else if ( nite >= nsmax ) {
OOFEM_LOG_DEBUG("Maximum number of iterations reached\n");
break;
}
double density = 1.;
double lambda = 210e9;
double mu = 210e9;
double c = sqrt((lambda + 2*mu) / density);
double dt = 0.25 * Le / c;
double alpha = 0.1 / dt;
printf("dt = %e\n", dt);
for ( int j = 0; j < neq; ++j ) {
//M * x'' + C*x' * dt = rhs * dt*dt
X[j] = rhs[j] * dt * dt / M[j] - ( -2*X_n1[j] + X_n[j] ) - alpha * (X_n1[j] - X_n[j]) * dt;
}
X_n = X_n1;
X_n1 = X;
dX.beDifferenceOf(X, X_0);
tStep->incrementStateCounter(); // update solution state counter
tStep->incrementSubStepNumber();
}
return status;
}
NM_Status
GJacobi :: solve(FloatMatrix &a, FloatMatrix &b, FloatArray &eigv, FloatMatrix &x)
//
// this function solve the generalized eigenproblem using the Generalized
// jacobi iteration
//
//
{
int nsweep, nr;
double eps, eptola, eptolb, akk, ajj, ab, check, sqch, d1, d2, den, ca, cg, ak, bk, xj, xk;
double aj, bj;
int jm1, kp1, km1, jp1;
if ( a.giveNumberOfRows() != b.giveNumberOfRows() ||
!a.isSquare() || !b.isSquare() ) {
OOFEM_ERROR("A matrix, B mtrix -> size mismatch");
}
int n = a.giveNumberOfRows();
eigv.resize(n);
x.resize(n, n);
//
// Create temporary arrays
//
FloatArray d(n);
//
// Initialize EigenValue and EigenVector Matrices
//
for ( int i = 1; i <= n; i++ ) {
// if((a.at(i,i) <= 0. ) && (b.at(i,i) <= 0.))
// OOFEM_ERROR("Matrices are not positive definite");
d.at(i) = a.at(i, i) / b.at(i, i);
eigv.at(i) = d.at(i);
}
x.beUnitMatrix();
if ( n == 1 ) {
return NM_Success;
}
//
// Initialize sweep counter and begin iteration
//
nsweep = 0;
nr = n - 1;
do {
nsweep++;
# ifdef DETAILED_REPORT
OOFEM_LOG_DEBUG("*GJacobi*: sweep number %4d\n", nsweep);
#endif
//
// check if present off-diagonal element is large enough to require zeroing
//
eps = pow(0.01, ( double ) nsweep);
eps *= eps;
for ( int j = 1; j <= nr; j++ ) {
int jj = j + 1;
for ( int k = jj; k <= n; k++ ) {
eptola = ( a.at(j, k) * a.at(j, k) ) / ( a.at(j, j) * a.at(k, k) );
eptolb = ( b.at(j, k) * b.at(j, k) ) / ( b.at(j, j) * b.at(k, k) );
if ( ( eptola < eps ) && ( eptolb < eps ) ) {
continue;
}
//
// if zeroing is required, calculate the rotation matrix elements ca and cg
//
akk = a.at(k, k) * b.at(j, k) - b.at(k, k) * a.at(j, k);
ajj = a.at(j, j) * b.at(j, k) - b.at(j, j) * a.at(j, k);
ab = a.at(j, j) * b.at(k, k) - a.at(k, k) * b.at(j, j);
check = ( ab * ab + 4.0 * akk * ajj ) / 4.0;
if ( fabs(check) < GJacobi_ZERO_CHECK_TOL ) {
check = fabs(check);
} else if ( check < 0.0 ) {
OOFEM_ERROR("Matrices are not positive definite");
}
sqch = sqrt(check);
d1 = ab / 2. + sqch;
d2 = ab / 2. - sqch;
den = d1;
if ( fabs(d2) > fabs(d1) ) {
den = d2;
}
if ( den != 0.0 ) { // strange !
ca = akk / den;
cg = -ajj / den;
} else {
ca = 0.0;
cg = -a.at(j, k) / a.at(k, k);
}
//
// perform the generalized rotation to zero
//
if ( ( n - 2 ) != 0 ) {
jp1 = j + 1;
jm1 = j - 1;
kp1 = k + 1;
km1 = k - 1;
if ( ( jm1 - 1 ) >= 0 ) {
for ( int i = 1; i <= jm1; i++ ) {
aj = a.at(i, j);
bj = b.at(i, j);
ak = a.at(i, k);
bk = b.at(i, k);
a.at(i, j) = aj + cg * ak;
b.at(i, j) = bj + cg * bk;
a.at(i, k) = ak + ca * aj;
b.at(i, k) = bk + ca * bj;
}
}
if ( ( kp1 - n ) <= 0 ) {
for ( int i = kp1; i <= n; i++ ) { // label 140
aj = a.at(j, i);
bj = b.at(j, i);
ak = a.at(k, i);
bk = b.at(k, i);
a.at(j, i) = aj + cg * ak;
b.at(j, i) = bj + cg * bk;
a.at(k, i) = ak + ca * aj;
b.at(k, i) = bk + ca * bj;
}
}
if ( ( jp1 - km1 ) <= 0 ) { // label 160
for ( int i = jp1; i <= km1; i++ ) {
aj = a.at(j, i);
bj = b.at(j, i);
ak = a.at(i, k);
bk = b.at(i, k);
a.at(j, i) = aj + cg * ak;
b.at(j, i) = bj + cg * bk;
a.at(i, k) = ak + ca * aj;
b.at(i, k) = bk + ca * bj;
}
}
} // label 190
ak = a.at(k, k);
bk = b.at(k, k);
a.at(k, k) = ak + 2.0 *ca *a.at(j, k) + ca *ca *a.at(j, j);
b.at(k, k) = bk + 2.0 *ca *b.at(j, k) + ca *ca *b.at(j, j);
a.at(j, j) = a.at(j, j) + 2.0 *cg *a.at(j, k) + cg * cg * ak;
b.at(j, j) = b.at(j, j) + 2.0 *cg *b.at(j, k) + cg * cg * bk;
a.at(j, k) = 0.0;
b.at(j, k) = 0.0;
//
// update the eigenvector matrix after each rotation
//
for ( int i = 1; i <= n; i++ ) {
xj = x.at(i, j);
xk = x.at(i, k);
x.at(i, j) = xj + cg * xk;
x.at(i, k) = xk + ca * xj;
} // label 200
}
} // label 210
//
// update the eigenvalues after each sweep
//
#ifdef DETAILED_REPORT
OOFEM_LOG_DEBUG("GJacobi: a,b after sweep\n");
a.printYourself();
b.printYourself();
#endif
for ( int i = 1; i <= n; i++ ) {
// in original uncommented
// if ((a.at(i,i) <= 0.) || (b.at(i,i) <= 0.))
// error ("solveYourselfAt: Matrices are not positive definite");
eigv.at(i) = a.at(i, i) / b.at(i, i);
} // label 220
# ifdef DETAILED_REPORT
OOFEM_LOG_DEBUG("GJacobi: current eigenvalues are:\n");
eigv.printYourself();
OOFEM_LOG_DEBUG("GJacobi: current eigenvectors are:\n");
x.printYourself();
# endif
//
// check for convergence
//
for ( int i = 1; i <= n; i++ ) { // label 230
double tol = rtol * d.at(i);
double dif = ( eigv.at(i) - d.at(i) );
if ( fabs(dif) > tol ) {
goto label280;
}
} // label 240
//
// check all off-diagonal elements to see if another sweep is required
//
eps = rtol * rtol;
for ( int j = 1; j <= nr; j++ ) {
int jj = j + 1;
for ( int k = jj; k <= n; k++ ) {
double epsa = ( a.at(j, k) * a.at(j, k) ) / ( a.at(j, j) * a.at(k, k) );
double epsb = ( b.at(j, k) * b.at(j, k) ) / ( b.at(j, j) * b.at(k, k) );
if ( ( epsa < eps ) && ( epsb < eps ) ) {
continue;
}
goto label280;
}
} // label 250
//
// fill out bottom triangle of resultant matrices and scale eigenvectors
//
break;
// goto label255 ;
//
// update d matrix and start new sweep, if allowed
//
label280:
d = eigv;
} while ( nsweep < nsmax );
// label255:
for ( int i = 1; i <= n; i++ ) {
for ( int j = 1; j <= n; j++ ) {
a.at(j, i) = a.at(i, j);
b.at(j, i) = b.at(i, j);
} // label 260
}
for ( int j = 1; j <= n; j++ ) {
double bb = sqrt( fabs( b.at(j, j) ) );
for ( int k = 1; k <= n; k++ ) {
x.at(k, j) /= bb;
}
} // label 270
return NM_Success;
}
void
NonLinearStatic :: proceedStep(int di, TimeStep *tStep)
{
//
// creates system of governing eq's and solves them at given time step
//
// first assemble problem at current time step
//
if ( initFlag ) {
//
// first step create space for stiffness Matrix
//
if ( !stiffnessMatrix ) {
stiffnessMatrix.reset( classFactory.createSparseMtrx(sparseMtrxType) );
}
if ( !stiffnessMatrix ) {
OOFEM_ERROR("sparse matrix creation failed");
}
if ( nonlocalStiffnessFlag ) {
if ( !stiffnessMatrix->isAsymmetric() ) {
OOFEM_ERROR("stiffnessMatrix does not support asymmetric storage");
}
}
stiffnessMatrix->buildInternalStructure( this, di, EModelDefaultEquationNumbering() );
}
#if 0
if ( ( mstep->giveFirstStepNumber() == tStep->giveNumber() ) ) {
#ifdef VERBOSE
OOFEM_LOG_INFO("Resetting load level\n");
#endif
if ( mstepCumulateLoadLevelFlag ) {
cumulatedLoadLevel += loadLevel;
} else {
cumulatedLoadLevel = 0.0;
}
this->loadLevel = 0.0;
}
#endif
if ( loadInitFlag || controlMode == nls_directControl ) {
#ifdef VERBOSE
OOFEM_LOG_DEBUG("Assembling reference load\n");
#endif
//
// assemble the incremental reference load vector
//
this->assembleIncrementalReferenceLoadVectors(incrementalLoadVector, incrementalLoadVectorOfPrescribed,
refLoadInputMode, this->giveDomain(di), tStep);
loadInitFlag = 0;
}
if ( tStep->giveNumber() == 1 ) {
int neq = this->giveNumberOfDomainEquations( 1, EModelDefaultEquationNumbering() );
totalDisplacement.resize(neq);
totalDisplacement.zero();
incrementOfDisplacement.resize(neq);
incrementOfDisplacement.zero();
}
//
// -> BEGINNING OF LOAD (OR DISPLACEMENT) STEP <-
//
//
// set-up numerical model
//
this->giveNumericalMethod( this->giveMetaStep( tStep->giveMetaStepNumber() ) );
//
// call numerical model to solve arise problem
//
#ifdef VERBOSE
OOFEM_LOG_RELEVANT( "\n\nSolving [step number %5d.%d, time = %e]\n\n", tStep->giveNumber(), tStep->giveVersion(), tStep->giveIntrinsicTime() );
#endif
if ( this->initialGuessType == IG_Tangent ) {
#ifdef VERBOSE
OOFEM_LOG_RELEVANT("Computing initial guess\n");
#endif
FloatArray extrapolatedForces;
this->assembleExtrapolatedForces( extrapolatedForces, tStep, TangentStiffnessMatrix, this->giveDomain(di) );
extrapolatedForces.negated();
this->updateComponent( tStep, NonLinearLhs, this->giveDomain(di) );
SparseLinearSystemNM *linSolver = nMethod->giveLinearSolver();
OOFEM_LOG_RELEVANT("solving for increment\n");
linSolver->solve(*stiffnessMatrix, extrapolatedForces, incrementOfDisplacement);
OOFEM_LOG_RELEVANT("initial guess found\n");
totalDisplacement.add(incrementOfDisplacement);
} else if ( this->initialGuessType != IG_None ) {
OOFEM_ERROR("Initial guess type: %d not supported", initialGuessType);
} else {
incrementOfDisplacement.zero();
}
//totalDisplacement.printYourself();
if ( initialLoadVector.isNotEmpty() ) {
numMetStatus = nMethod->solve(*stiffnessMatrix, incrementalLoadVector, & initialLoadVector,
totalDisplacement, incrementOfDisplacement, internalForces,
internalForcesEBENorm, loadLevel, refLoadInputMode, currentIterations, tStep);
} else {
numMetStatus = nMethod->solve(*stiffnessMatrix, incrementalLoadVector, NULL,
totalDisplacement, incrementOfDisplacement, internalForces,
internalForcesEBENorm, loadLevel, refLoadInputMode, currentIterations, tStep);
}
///@todo Martin: ta bort!!!
//this->updateComponent(tStep, NonLinearLhs, this->giveDomain(di));
///@todo Use temporary variables. updateYourself() should set the final values, while proceedStep should be callable multiple times for each step (if necessary). / Mikael
OOFEM_LOG_RELEVANT("Equilibrium reached at load level = %f in %d iterations\n", cumulatedLoadLevel + loadLevel, currentIterations);
prevStepLength = currentStepLength;
}
SparseMtrx *Skyline :: factorized()
{
// Returns the receiver in U(transp).D.U Crout factorization form.
int aci, aci1, acj, acj1, ack, ack1, ac, acs, acri, acrk, n;
double s, g;
#ifdef TIME_REPORT
Timer timer;
timer.startTimer();
#endif
/************************/
/* matrix elimination */
/************************/
if ( isFactorized ) {
return this;
}
n = this->giveNumberOfRows();
// report skyline statistics
OOFEM_LOG_DEBUG("Skyline info: neq is %d, nwk is %d\n", n, this->nwk);
for ( int k = 2; k <= n; k++ ) {
/* smycka pres sloupce matice */
ack = adr.at(k);
ack1 = adr.at(k + 1);
acrk = k - ( ack1 - ack ) + 1;
for ( int i = acrk + 1; i < k; i++ ) {
/* smycka pres prvky jednoho sloupce matice */
aci = adr.at(i);
aci1 = adr.at(i + 1);
acri = i - ( aci1 - aci ) + 1;
if ( acri < acrk ) {
ac = acrk;
} else {
ac = acri;
}
acj = k - ac + ack;
acj1 = k - i + ack;
acs = i - ac + aci;
s = 0.0;
for ( int j = acj; j > acj1; j-- ) {
s += mtrx [ j ] * mtrx [ acs ];
acs--;
}
mtrx [ acj1 ] -= s;
}
/* uprava diagonalniho prvku */
s = 0.0;
for ( int i = ack1 - 1; i > ack; i-- ) {
g = mtrx [ i ];
acs = adr.at(acrk);
acrk++;
mtrx [ i ] /= mtrx [ acs ];
s += mtrx [ i ] * g;
}
mtrx [ ack ] -= s;
}
isFactorized = true;
#ifdef TIME_REPORT
timer.stopTimer();
OOFEM_LOG_DEBUG( "Skyline info: user time consumed by factorization: %.2fs\n", timer.getUtime() );
#endif
// increment version
//this->version++;
return this;
}
NM_Status
GJacobi :: solve(FloatMatrix *a, FloatMatrix *b, FloatArray *eigv, FloatMatrix *x)
//void GJacobi :: solveYourselfAt (TimeStep* tNow)
//
// this function solve the generalized eigenproblem using the Generalized
// jacobi iteration
//
//
{
int i, j, k, nsweep, nr, jj;
double eps, eptola, eptolb, akk, ajj, ab, check, sqch, d1, d2, den, ca, cg, ak, bk, xj, xk;
double aj, bj, tol, dif, epsa, epsb, bb;
int jm1, kp1, km1, jp1;
// first check whether Amatrix is defined
if ( !a ) {
_error("solveYourselfAt: unknown A matrix");
}
// and whether Bmatrix
if ( !b ) {
_error("solveYourselfAt: unknown Bmatrx");
}
if ( ( a->giveNumberOfRows() != b->giveNumberOfRows() ) ||
( !a->isSquare() ) || ( !b->isSquare() ) ) {
_error("solveYourselfAt: A matrix, B mtrix -> size mismatch");
}
int n = a->giveNumberOfRows();
//
// Check output arrays
//
if ( !eigv ) {
_error("solveYourselfAt: unknown eigv array");
}
if ( !x ) {
_error("solveYourselfAt: unknown x mtrx ");
}
if ( eigv->giveSize() != n ) {
_error("solveYourselfAt: eigv size mismatch");
}
if ( ( !x->isSquare() ) || ( x->giveNumberOfRows() != n ) ) {
_error("solveYourselfAt: x size mismatch");
}
//
// Create temporary arrays
//
FloatArray *d = new FloatArray(n);
//
// Initialize EigenValue and EigenVector Matrices
//
for ( i = 1; i <= n; i++ ) {
// if((a->at(i,i) <= 0. ) && (b->at(i,i) <= 0.))
// _error ("solveYourselfAt: Matrices are not positive definite");
d->at(i) = a->at(i, i) / b->at(i, i);
eigv->at(i) = d->at(i);
}
for ( i = 1; i <= n; i++ ) {
for ( j = 1; j <= n; j++ ) {
x->at(i, j) = 0.0;
}
x->at(i, i) = 1.0;
}
if ( n == 1 ) {
return NM_Success;
}
//
// Initialize sweep counter and begin iteration
//
nsweep = 0;
nr = n - 1;
do {
nsweep++;
# ifdef DETAILED_REPORT
OOFEM_LOG_DEBUG("*GJacobi*: sweep number %4d\n", nsweep);
#endif
//
// check if present off-diagonal element is large enough to require zeroing
//
eps = pow(0.01, ( double ) nsweep);
eps *= eps;
for ( j = 1; j <= nr; j++ ) {
jj = j + 1;
for ( k = jj; k <= n; k++ ) {
eptola = ( a->at(j, k) * a->at(j, k) ) / ( a->at(j, j) * a->at(k, k) );
eptolb = ( b->at(j, k) * b->at(j, k) ) / ( b->at(j, j) * b->at(k, k) );
if ( ( eptola < eps ) && ( eptolb < eps ) ) {
continue;
}
//
// if zeroing is required, calculate the rotation matrix elements ca and cg
//
akk = a->at(k, k) * b->at(j, k) - b->at(k, k) * a->at(j, k);
ajj = a->at(j, j) * b->at(j, k) - b->at(j, j) * a->at(j, k);
ab = a->at(j, j) * b->at(k, k) - a->at(k, k) * b->at(j, j);
check = ( ab * ab + 4.0 * akk * ajj ) / 4.0;
if ( fabs(check) < GJacobi_ZERO_CHECK_TOL ) {
check = fabs(check);
} else if ( check < 0.0 ) {
_error("solveYourselfAt: Matrices are not positive definite");
}
sqch = sqrt(check);
d1 = ab / 2. + sqch;
d2 = ab / 2. - sqch;
den = d1;
if ( fabs(d2) > fabs(d1) ) {
den = d2;
}
if ( den != 0.0 ) { // strange !
ca = akk / den;
cg = -ajj / den;
} else {
ca = 0.0;
cg = -a->at(j, k) / a->at(k, k);
}
//
// perform the generalized rotation to zero
//
if ( ( n - 2 ) != 0 ) {
jp1 = j + 1;
jm1 = j - 1;
kp1 = k + 1;
km1 = k - 1;
if ( ( jm1 - 1 ) >= 0 ) {
for ( i = 1; i <= jm1; i++ ) {
aj = a->at(i, j);
bj = b->at(i, j);
ak = a->at(i, k);
bk = b->at(i, k);
a->at(i, j) = aj + cg * ak;
b->at(i, j) = bj + cg * bk;
a->at(i, k) = ak + ca * aj;
b->at(i, k) = bk + ca * bj;
}
}
if ( ( kp1 - n ) <= 0 ) {
for ( i = kp1; i <= n; i++ ) { // label 140
aj = a->at(j, i);
bj = b->at(j, i);
ak = a->at(k, i);
bk = b->at(k, i);
a->at(j, i) = aj + cg * ak;
b->at(j, i) = bj + cg * bk;
a->at(k, i) = ak + ca * aj;
b->at(k, i) = bk + ca * bj;
}
}
if ( ( jp1 - km1 ) <= 0 ) { // label 160
for ( i = jp1; i <= km1; i++ ) {
aj = a->at(j, i);
bj = b->at(j, i);
ak = a->at(i, k);
bk = b->at(i, k);
a->at(j, i) = aj + cg * ak;
b->at(j, i) = bj + cg * bk;
a->at(i, k) = ak + ca * aj;
b->at(i, k) = bk + ca * bj;
}
}
} // label 190
ak = a->at(k, k);
bk = b->at(k, k);
a->at(k, k) = ak + 2.0 *ca *a->at(j, k) + ca *ca *a->at(j, j);
b->at(k, k) = bk + 2.0 *ca *b->at(j, k) + ca *ca *b->at(j, j);
a->at(j, j) = a->at(j, j) + 2.0 *cg *a->at(j, k) + cg * cg * ak;
b->at(j, j) = b->at(j, j) + 2.0 *cg *b->at(j, k) + cg * cg * bk;
a->at(j, k) = 0.0;
b->at(j, k) = 0.0;
//
// update the eigenvector matrix after each rotation
//
for ( i = 1; i <= n; i++ ) {
xj = x->at(i, j);
xk = x->at(i, k);
x->at(i, j) = xj + cg * xk;
x->at(i, k) = xk + ca * xj;
} // label 200
}
} // label 210
//
// update the eigenvalues after each sweep
//
#ifdef DETAILED_REPORT
OOFEM_LOG_DEBUG("GJacobi: a,b after sweep\n");
a->printYourself();
b->printYourself();
#endif
for ( i = 1; i <= n; i++ ) {
// in original uncommented
// if ((a->at(i,i) <= 0.) || (b->at(i,i) <= 0.))
// error ("solveYourselfAt: Matrices are not positive definite");
eigv->at(i) = a->at(i, i) / b->at(i, i);
} // label 220
# ifdef DETAILED_REPORT
OOFEM_LOG_DEBUG("GJacobi: current eigenvalues are:\n");
eigv->printYourself();
OOFEM_LOG_DEBUG("GJacobi: current eigenvectors are:\n");
x->printYourself();
# endif
//
// check for convergence
//
for ( i = 1; i <= n; i++ ) { // label 230
tol = rtol * d->at(i);
dif = ( eigv->at(i) - d->at(i) );
if ( fabs(dif) > tol ) {
goto label280;
}
} // label 240
//
// check all off-diagonal elements to see if another sweep is required
//
eps = rtol * rtol;
for ( j = 1; j <= nr; j++ ) {
jj = j + 1;
for ( k = jj; k <= n; k++ ) {
epsa = ( a->at(j, k) * a->at(j, k) ) / ( a->at(j, j) * a->at(k, k) );
epsb = ( b->at(j, k) * b->at(j, k) ) / ( b->at(j, j) * b->at(k, k) );
if ( ( epsa < eps ) && ( epsb < eps ) ) {
continue;
}
goto label280;
}
} // label 250
//
// fill out bottom triangle of resultant matrices and scale eigenvectors
//
break;
// goto label255 ;
//
// update d matrix and start new sweep, if allowed
//
label280:
for ( i = 1; i <= n; i++ ) {
d->at(i) = eigv->at(i);
}
} while ( nsweep < nsmax );
// label255:
for ( i = 1; i <= n; i++ ) {
for ( j = 1; j <= n; j++ ) {
a->at(j, i) = a->at(i, j);
b->at(j, i) = b->at(i, j);
} // label 260
}
for ( j = 1; j <= n; j++ ) {
bb = sqrt( fabs( b->at(j, j) ) );
for ( k = 1; k <= n; k++ ) {
x->at(k, j) /= bb;
}
} // label 270
solved = 1;
delete d;
return NM_Success;
}
int CompCol :: buildInternalStructure(EngngModel *eModel, int di, const UnknownNumberingScheme &s)
{
/*
* IntArray loc;
* Domain* domain = eModel->giveDomain(di);
* int neq = eModel -> giveNumberOfDomainEquations (di);
* int nelem = domain -> giveNumberOfElements() ;
* int i,ii,j,jj,n, indx;
* Element* elem;
* // allocation map
* char* map = new char[neq*neq];
* if (map == NULL) {
* printf ("CompCol::buildInternalStructure - map creation failed");
* exit (1);
* }
*
* for (i=0; i<neq*neq; i++)
* map[i]=0;
*
*
* this->nz_ = 0;
*
* for (n=1 ; n<=nelem ; n++) {
* elem = domain -> giveElement(n);
* elem -> giveLocationArray (loc) ;
*
* for (i=1 ; i <= loc.giveSize() ; i++) {
* if ((ii = loc.at(i))) {
* for (j=1; j <= loc.giveSize() ; j++) {
* if ((jj=loc.at(j))) {
* if (map[(ii-1)*neq+jj-1] == 0) {
* map[(ii-1)*neq+jj-1] = 1;
* this->nz_ ++;
* }
* }
* }
* }
* }
* }
*
* rowind_.resize (nz_);
* colptr_.resize (neq+1);
* indx = 0;
* for (j=0; j<neq; j++) { // column loop
* colptr_(j) = indx;
* for (i=0; i<neq; i++) { // row loop
* if (map[i*neq+j]) {
* rowind_(indx) = i;
* indx++;
* }
* }
* }
* colptr_(neq) = indx;
*
* // delete map
* delete (map);
*
* // allocate value array
* val_.resize(nz_);
* val_.zero();
*
* printf ("\nCompCol info: neq is %d, nwk is %d\n",neq,nz_);
*
* dim_[0] = dim_[1] = nColumns = nRows = neq;
*
* // increment version
* this->version++;
*
* return true;
*/
IntArray loc;
Domain *domain = eModel->giveDomain(di);
int neq = eModel->giveNumberOfDomainEquations(di, s);
int nelem = domain->giveNumberOfElements();
int i, ii, j, jj, n, indx;
Element *elem;
// allocation map
std :: vector< std :: set< int > > columns(neq);
/*
* std::set<int> **columns = new std::set<int>*[neq];
* for (j=0; j<neq; j++) {
* columns[j] = new std::set<int>;
* }
*/
this->nz_ = 0;
for ( n = 1; n <= nelem; n++ ) {
elem = domain->giveElement(n);
elem->giveLocationArray(loc, s);
for ( i = 1; i <= loc.giveSize(); i++ ) {
if ( ( ii = loc.at(i) ) ) {
for ( j = 1; j <= loc.giveSize(); j++ ) {
if ( ( jj = loc.at(j) ) ) {
columns [ jj - 1 ].insert(ii - 1);
}
}
}
}
}
// loop over active boundary conditions
int nbc = domain->giveNumberOfBoundaryConditions();
std :: vector< IntArray >r_locs;
std :: vector< IntArray >c_locs;
for ( int i = 1; i <= nbc; ++i ) {
ActiveBoundaryCondition *bc = dynamic_cast< ActiveBoundaryCondition * >( domain->giveBc(i) );
if ( bc != NULL ) {
bc->giveLocationArrays(r_locs, c_locs, UnknownCharType, s, s);
for ( std :: size_t k = 0; k < r_locs.size(); k++ ) {
IntArray &krloc = r_locs [ k ];
IntArray &kcloc = c_locs [ k ];
for ( int i = 1; i <= krloc.giveSize(); i++ ) {
if ( ( ii = krloc.at(i) ) ) {
for ( int j = 1; j <= kcloc.giveSize(); j++ ) {
if ( ( jj = kcloc.at(j) ) ) {
columns [ jj - 1 ].insert(ii - 1);
}
}
}
}
}
}
}
for ( i = 0; i < neq; i++ ) {
this->nz_ += columns [ i ].size();
}
rowind_.resize(nz_);
colptr_.resize(neq + 1);
indx = 0;
for ( j = 0; j < neq; j++ ) { // column loop
colptr_(j) = indx;
for ( int row: columns [ j ] ) { // row loop
rowind_(indx++) = row;
}
}
colptr_(neq) = indx;
/*
* // delete map
* for (i=0; i< neq; i++) {columns[i]->clear(); delete columns[i];}
* delete columns;
*/
// allocate value array
val_.resize(nz_);
val_.zero();
OOFEM_LOG_DEBUG("CompCol info: neq is %d, nwk is %d\n", neq, nz_);
dim_ [ 0 ] = dim_ [ 1 ] = nColumns = nRows = neq;
// increment version
this->version++;
return true;
}
NM_Status
TrustRegionSolver3 :: solve(SparseMtrx &k, FloatArray &R, FloatArray *R0,
FloatArray &X, FloatArray &dX, FloatArray &F,
const FloatArray &internalForcesEBENorm, double &l, referenceLoadInputModeType rlm,
int &nite, TimeStep *tStep)
{
// residual, iteration increment of solution, total external force
FloatArray rhs, ddX, RT;
double RRT;
int neq = X.giveSize();
bool converged, errorOutOfRangeFlag;
ParallelContext *parallel_context = engngModel->giveParallelContext( this->domain->giveNumber() );
if ( engngModel->giveProblemScale() == macroScale ) {
OOFEM_LOG_INFO("NRSolver: Iteration");
if ( rtolf.at(1) > 0.0 ) {
OOFEM_LOG_INFO(" ForceError");
}
if ( rtold.at(1) > 0.0 ) {
OOFEM_LOG_INFO(" DisplError");
}
OOFEM_LOG_INFO("\n----------------------------------------------------------------------------\n");
}
l = 1.0;
NM_Status status = NM_None;
this->giveLinearSolver();
// compute total load R = R+R0
RT = R;
if ( R0 ) {
RT.add(* R0);
}
RRT = parallel_context->localNorm(RT);
RRT *= RRT;
ddX.resize(neq);
ddX.zero();
double old_res = 0.0;
double trial_res = 0.0;
bool first_perturbation = true;
FloatArray eig_vec, pert_eig_vec;
double pert_tol = 0.0e1;
nite = 0;
for ( nite = 0; ; ++nite ) {
// Compute the residual
engngModel->updateComponent(tStep, InternalRhs, domain);
rhs.beDifferenceOf(RT, F);
old_res = rhs.computeNorm();
// convergence check
converged = this->checkConvergence(RT, F, rhs, ddX, X, RRT, internalForcesEBENorm, nite, errorOutOfRangeFlag);
if ( errorOutOfRangeFlag ) {
status = NM_NoSuccess;
OOFEM_WARNING("Divergence reached after %d iterations", nite);
break;
} else if ( converged && ( nite >= minIterations ) ) {
status |= NM_Success;
break;
} else if ( nite >= nsmax ) {
OOFEM_LOG_DEBUG("Maximum number of iterations reached\n");
break;
}
engngModel->updateComponent(tStep, NonLinearLhs, domain);
////////////////////////////////////////////////////////////////////////////
// Step calculation: Solve trust-region subproblem
PetscSparseMtrx &A = dynamic_cast< PetscSparseMtrx& >(k);
IntArray loc_u;
// Check if k is positive definite
double smallest_eig_val = 0.0;
// Dirty hack for weakly periodic boundary conditions
PrescribedGradientBCWeak *bc = dynamic_cast<PrescribedGradientBCWeak*>(domain->giveBc(1));
if( bc ) {
if ( engngModel->giveProblemScale() == macroScale ) {
printf("Found PrescribedGradientBCWeak.\n");
}
auto Kuu = std::dynamic_pointer_cast<PetscSparseMtrx>( bc->giveKuu(loc_u, tStep) );
calcSmallestEigVal(smallest_eig_val, eig_vec, *Kuu);
if ( engngModel->giveProblemScale() == macroScale ) {
printf("smallest_eig_val: %e\n", smallest_eig_val);
}
}
else {
calcSmallestEigVal(smallest_eig_val, eig_vec, A);
}
double lambda = 0.0;
if(smallest_eig_val < 0.0) {
lambda = -smallest_eig_val;
A.addDiagonal(lambda, loc_u);
}
linSolver->solve(k, rhs, ddX);
// Remove lambda from the diagonal again
if(smallest_eig_val < 0.0) {
A.addDiagonal(-lambda, loc_u);
}
// Constrain the increment to stay within the trust-region
double increment_ratio = 1.0;
double maxInc = 0.0;
for ( double inc : ddX ) {
if(fabs(inc) > maxInc) {
maxInc = fabs(inc);
}
}
if(maxInc > mTrustRegionSize) {
if ( engngModel->giveProblemScale() == macroScale ) {
printf("Restricting increment. maxInc: %e\n", maxInc);
}
ddX.times(mTrustRegionSize/maxInc);
increment_ratio = mTrustRegionSize/maxInc;
}
if( smallest_eig_val < pert_tol ) {
if ( engngModel->giveProblemScale() == macroScale ) {
printf("Negative eigenvalue detected.\n");
printf("Perturbing in lowest eigenvector direction.\n");
}
if(first_perturbation || (nite%mEigVecRecalc==0) ) {
pert_eig_vec.resize( ddX.giveSize() );
for(int i = 0; i < loc_u.giveSize(); i++) {
pert_eig_vec( loc_u(i)-1 ) = eig_vec(i);
}
// Rescale eigenvector such that the L_inf norm is 1.
double max_eig_vec = 0.0;
for ( double inc : pert_eig_vec ) {
if(fabs(inc) > max_eig_vec) {
max_eig_vec = fabs(inc);
}
}
pert_eig_vec.times(1./max_eig_vec);
first_perturbation = false;
}
double c = maxInc;
if(c > mTrustRegionSize) {
c = mTrustRegionSize;
}
if( ddX.dotProduct(pert_eig_vec) < 0.0 ) {
c *= -1.0;
}
ddX.add( c*mBeta, pert_eig_vec );
}
if ( engngModel->giveProblemScale() == macroScale ) {
printf("smallest_eig_val: %e increment_ratio: %e\n", smallest_eig_val, increment_ratio );
}
X.add(ddX);
dX.add(ddX);
////////////////////////////////////////////////////////////////////////////
// Acceptance of trial point
engngModel->updateComponent(tStep, InternalRhs, domain);
rhs.beDifferenceOf(RT, F);
trial_res = rhs.computeNorm();
double rho_k = 1.0;
if(old_res > 1.0e-12) {
rho_k = ( old_res - trial_res )/( 0.99*increment_ratio*old_res );
}
////////////////////////////////////////////////////////////////////////////
// Trust-region radius update
if( rho_k >= mEta2 ) {
// printf("Very successful update.\n");
// Parameter on p.782 in Conn et al.
double alpha1 = 2.5;
if ( alpha1*maxInc > mTrustRegionSize ) {
mTrustRegionSize = alpha1*mTrustRegionSize;
}
}
else {
if( !(rho_k >= mEta1 && rho_k < mEta2) ) {
if(nite > 1000) { // Only contract trust-region size in case of emergency
// Parameter on p.782 in Conn et al.
double alpha2 = 0.5;
mTrustRegionSize = alpha2*mTrustRegionSize;
}
}
}
tStep->incrementStateCounter(); // update solution state counter
tStep->incrementSubStepNumber();
engngModel->giveExportModuleManager()->doOutput(tStep, true);
}
// Modify Load vector to include "quasi reaction"
if ( R0 ) {
for ( int i = 1; i <= numberOfPrescribedDofs; i++ ) {
R.at( prescribedEqs.at(i) ) = F.at( prescribedEqs.at(i) ) - R0->at( prescribedEqs.at(i) ) - R.at( prescribedEqs.at(i) );
}
} else {
for ( int i = 1; i <= numberOfPrescribedDofs; i++ ) {
R.at( prescribedEqs.at(i) ) = F.at( prescribedEqs.at(i) ) - R.at( prescribedEqs.at(i) );
}
}
this->lastReactions.resize(numberOfPrescribedDofs);
#ifdef VERBOSE
if ( numberOfPrescribedDofs ) {
// print quasi reactions if direct displacement control used
OOFEM_LOG_INFO("\n");
OOFEM_LOG_INFO("NRSolver: Quasi reaction table \n");
OOFEM_LOG_INFO("NRSolver: Node Dof Displacement Force\n");
double reaction;
for ( int i = 1; i <= numberOfPrescribedDofs; i++ ) {
reaction = R.at( prescribedEqs.at(i) );
if ( R0 ) {
reaction += R0->at( prescribedEqs.at(i) );
}
lastReactions.at(i) = reaction;
OOFEM_LOG_INFO("NRSolver: %-15d %-15d %-+15.5e %-+15.5e\n", prescribedDofs.at(2 * i - 1), prescribedDofs.at(2 * i),
X.at( prescribedEqs.at(i) ), reaction);
}
OOFEM_LOG_INFO("\n");
}
#endif
return status;
}
void
XFEMStatic :: updateLoadVectors(TimeStep *tStep)
{
MetaStep *mstep = this->giveMetaStep( tStep->giveMetaStepNumber() );
bool isLastMetaStep = ( tStep->giveNumber() == mstep->giveLastStepNumber() );
if ( controlMode == nls_indirectControl ) { //todo@: not checked
//if ((tStep->giveNumber() == mstep->giveLastStepNumber()) && ir->hasField("fixload")) {
if ( isLastMetaStep ) {
if ( !mstep->giveAttributesRecord()->hasField(_IFT_NonLinearStatic_donotfixload) ) {
OOFEM_LOG_INFO("Fixed load level\n");
//update initialLoadVector
if ( initialLoadVector.isEmpty() ) {
initialLoadVector.resize( incrementalLoadVector.giveSize() );
}
incrementalLoadVector.times(loadLevel);
initialLoadVector.add(incrementalLoadVector);
incrementalLoadVectorOfPrescribed.times(loadLevel);
initialLoadVectorOfPrescribed.add(incrementalLoadVectorOfPrescribed);
incrementalLoadVector.zero();
incrementalLoadVectorOfPrescribed.zero();
this->loadInitFlag = 1;
}
//if (!mstep->giveAttributesRecord()->hasField("keepll")) this->loadLevelInitFlag = 1;
}
} else { // direct control
//update initialLoadVector after each step of direct control
//(here the loading is not proportional)
/*if ( initialLoadVector.isEmpty() ) {
* initialLoadVector.resize( incrementalLoadVector.giveSize() );
* }
*/
OOFEM_LOG_DEBUG("Fixed load level\n");
int neq = this->giveNumberOfDomainEquations( 1, EModelDefaultEquationNumbering() ); // 1 stands for domain?
// printf("Before: ");
// incrementalLoadVector.printYourself();
if ( incrementalLoadVector.giveSize() != neq ) {
//initialLoadVector.resize( incrementalLoadVector.giveSize() );
// initialLoadVector.printYourself();
// initialLoadVector.resize( 0 );
FloatArray incrementalLoadVectorNew;
setValsFromDofMap(incrementalLoadVectorNew, incrementalLoadVector);
incrementalLoadVector = incrementalLoadVectorNew;
}
// printf("After: ");
// incrementalLoadVector.printYourself();
incrementalLoadVector.times(loadLevel);
///////////////////////////////////////////////////////////////////
// Map values in the old initialLoadVector to the new initialLoadVector
// printf("Before: ");
// initialLoadVector.printYourself();
if ( initialLoadVector.giveSize() != neq ) {
//initialLoadVector.resize( incrementalLoadVector.giveSize() );
// initialLoadVector.printYourself();
// initialLoadVector.resize( 0 );
FloatArray initialLoadVectorNew;
setValsFromDofMap(initialLoadVectorNew, initialLoadVector);
initialLoadVector = initialLoadVectorNew;
}
// printf("After: ");
// initialLoadVector.printYourself();
///////////////////////////////////////////////////////////////////
initialLoadVector.add(incrementalLoadVector);
incrementalLoadVectorOfPrescribed.times(loadLevel);
initialLoadVectorOfPrescribed.add(incrementalLoadVectorOfPrescribed);
incrementalLoadVector.zero();
incrementalLoadVectorOfPrescribed.zero();
this->loadInitFlag = 1;
}
// if (isLastMetaStep) {
if ( isLastMetaStep && !mstep->giveAttributesRecord()->hasField(_IFT_NonLinearStatic_donotfixload) ) {
#ifdef VERBOSE
OOFEM_LOG_INFO("Reseting load level\n");
#endif
if ( mstepCumulateLoadLevelFlag ) {
cumulatedLoadLevel += loadLevel;
} else {
cumulatedLoadLevel = 0.0;
}
this->loadLevel = 0.0;
}
}
void
ProblemCommunicator :: setUpCommunicationMapsForRemoteElementMode(EngngModel *pm,
bool excludeSelfCommFlag)
{
//int nnodes = domain->giveNumberOfDofManagers();
Domain *domain = pm->giveDomain(1);
int i, j, partition;
if ( this->mode == ProblemCommMode__REMOTE_ELEMENT_MODE ) {
/*
* Initially, each partition knows for which nodes a receive
* is needed (and can therefore compute easily the recv map),
* but does not know for which nodes it should send data to which
* partition. Hence, the communication setup is performed by
* broadcasting "send request" lists of nodes for which
* a partition expects to receive data (ie. of those nodes
* which the partition uses, but does not own) to all
* collaborating processes. The "send request" list are
* converted into send maps.
*/
// receive maps can be build locally,
// but send maps should be assembled from broadcasted lists (containing
// expected receive nodes) of remote partitions.
// first build local receive map
IntArray domainNodeRecvCount(size);
const IntArray *partitionList;
//DofManager *dofMan;
Element *element;
int domainRecvListSize = 0, domainRecvListPos = 0;
int nelems;
int result = 1;
nelems = domain->giveNumberOfElements();
for ( i = 1; i <= nelems; i++ ) {
partitionList = domain->giveElement(i)->givePartitionList();
if ( domain->giveElement(i)->giveParallelMode() == Element_remote ) {
// size of partitionList should be 1 <== only ine master
for ( j = 1; j <= partitionList->giveSize(); j++ ) {
if ( !( excludeSelfCommFlag && ( this->rank == partitionList->at(j) ) ) ) {
domainRecvListSize++;
domainNodeRecvCount.at(partitionList->at(j) + 1)++;
}
}
}
}
// build maps simultaneously
IntArray pos(size);
IntArray **maps = new IntArray * [ size ];
for ( i = 0; i < size; i++ ) {
maps [ i ] = new IntArray( domainNodeRecvCount.at(i + 1) );
}
// allocate also domain receive list to be broadcasted
IntArray domainRecvList(domainRecvListSize);
if ( domainRecvListSize ) {
for ( i = 1; i <= nelems; i++ ) {
// test if element is remote one
element = domain->giveElement(i);
if ( element->giveParallelMode() == Element_remote ) {
domainRecvList.at(++domainRecvListPos) = element->giveGlobalNumber();
partitionList = domain->giveElement(i)->givePartitionList();
// size of partitionList should be 1 <== only ine master
for ( j = 1; j <= partitionList->giveSize(); j++ ) {
if ( !( excludeSelfCommFlag && ( this->rank == partitionList->at(j) ) ) ) {
partition = partitionList->at(j);
maps [ partition ]->at( ++pos.at(partition + 1) ) = i;
}
}
}
}
}
// set up domains recv communicator maps
for ( i = 0; i < size; i++ ) {
this->setProcessCommunicatorToRecvArry(this->giveProcessCommunicator(i), * maps [ i ]);
//this->giveDomainCommunicator(i)->setToRecvArry (this->engngModel, *maps[i]);
}
/*
* #ifdef __VERBOSE_PARALLEL
* for (i=0; i<size; i++) {
* fprintf (stderr, "domain %d-%d: domainCommRecvsize is %d\n",rank,i,this->giveDomainCommunicator(i)->giveRecvBuff()->giveSize() );
* printf ("domain %d-%d: reecv map:",rank,i);
* this->giveDomainCommunicator(i)->giveToRecvMap()->printYourself();
* }
*#endif
*/
// delete local maps
for ( i = 0; i < size; i++ ) {
delete maps [ i ];
}
delete [] maps;
// to assemble send maps, we must analyze broadcasted remote domain send lists
// and we must also broadcast our send list.
#ifdef __VERBOSE_PARALLEL
VERBOSEPARALLEL_PRINT("ProblemCommunicator::setUpCommunicationMaps", "Remote Element-cut broadcasting started", rank);
#endif
StaticCommunicationBuffer commBuff(MPI_COMM_WORLD);
IntArray remoteDomainRecvList;
IntArray toSendMap;
int localExpectedSize, globalRecvSize;
int sendMapPos, sendMapSize, globalDofManNum;
// determine the size of receive buffer using AllReduce operation
#ifndef IBM_MPI_IMPLEMENTATION
localExpectedSize = domainRecvList.givePackSize(commBuff);
#else
localExpectedSize = domainRecvList.givePackSize(commBuff) + 1;
#endif
#ifdef __USE_MPI
result = MPI_Allreduce(& localExpectedSize, & globalRecvSize, 1, MPI_INT, MPI_MAX, MPI_COMM_WORLD);
if ( result != MPI_SUCCESS ) {
_error("setUpCommunicationMaps: MPI_Allreduce failed");
}
#else
WARNING: NOT SUPPORTED MESSAGE PARSING LIBRARY
#endif
#ifdef __VERBOSE_PARALLEL
VERBOSEPARALLEL_PRINT("ProblemCommunicator::setUpCommunicationMaps", "Finished reducing receiveBufferSize", rank);
#endif
// resize to fit largest received message
commBuff.resize(globalRecvSize);
// resize toSend map to max possible size
toSendMap.resize(globalRecvSize);
for ( i = 0; i < size; i++ ) { // loop over domains
commBuff.init();
if ( i == rank ) {
//current domain has to send its receive list to all domains
// broadcast domainRecvList
#ifdef __VERBOSE_PARALLEL
VERBOSEPARALLEL_PRINT("ProblemCommunicator::setUpCommunicationMaps", "Broadcasting own send list", rank);
#endif
commBuff.packIntArray(domainRecvList);
result = commBuff.bcast(i);
if ( result != MPI_SUCCESS ) {
_error("setUpCommunicationMaps: commBuff broadcast failed");
}
#ifdef __VERBOSE_PARALLEL
VERBOSEPARALLEL_PRINT("ProblemCommunicator::setUpCommunicationMaps", "Broadcasting own send list finished", rank);
#endif
} else {
#ifdef __VERBOSE_PARALLEL
OOFEM_LOG_DEBUG("[process rank %3d]: %-30s: Receiving broadcasted send map from partition %3d\n",
rank, "ProblemCommunicator :: unpackAllData", i);
#endif
// receive broadcasted lists
result = commBuff.bcast(i);
if ( result != MPI_SUCCESS ) {
_error("setUpCommunicationMaps: commBuff broadcast failed");
}
#ifdef __VERBOSE_PARALLEL
OOFEM_LOG_DEBUG("[process rank %3d]: %-30s: Receiving broadcasted send map from partition %3d finished\n",
rank, "ProblemCommunicator :: unpackAllData", i);
#endif
// unpack remote receive list
if ( !commBuff.unpackIntArray(remoteDomainRecvList) ) {
_error("ProblemCommunicator::setUpCommunicationMaps: unpack remote receive list failed");
}
// find if remote elements are in local partition
// if yes add them into send map for correcponding i-th partition
sendMapPos = 0;
sendMapSize = 0;
// determine sendMap size
for ( j = 1; j <= nelems; j++ ) { // loop over local elements
element = domain->giveElement(j);
if ( element->giveParallelMode() == Element_local ) {
globalDofManNum = element->giveGlobalNumber();
// test id globalDofManNum is in remoteDomainRecvList
if ( remoteDomainRecvList.findFirstIndexOf(globalDofManNum) ) {
sendMapSize++;
}
}
}
toSendMap.resize(sendMapSize);
for ( j = 1; j <= nelems; j++ ) { // loop over local elements
element = domain->giveElement(j);
if ( element->giveParallelMode() == Element_local ) {
globalDofManNum = element->giveGlobalNumber();
// test id globalDofManNum is in remoteDomainRecvList
if ( remoteDomainRecvList.findFirstIndexOf(globalDofManNum) ) {
// add this local DofManager number to sed map for active partition
toSendMap.at(++sendMapPos) = j;
}
}
} // end loop over local DofManagers
// set send map to i-th process communicator
this->setProcessCommunicatorToSendArry(this->giveProcessCommunicator(i), toSendMap);
/*
* #ifdef __VERBOSE_PARALLEL
* fprintf (stderr, "domain %d-%d: domainCommSendsize is %d\n",rank,i,this->giveDomainCommunicator(i)->giveSendBuff()->giveSize() );
* printf ("domain %d-%d: send map:",rank,i);
* this->giveDomainCommunicator(i)->giveToSendMap()->printYourself();
*
*#endif
*/
//this->giveDomainCommunicator(i)->setToSendArry (this->engngModel, toSendMap);
} // end receiving broadcasted lists
#ifdef __VERBOSE_PARALLEL
VERBOSEPARALLEL_PRINT("ProblemCommunicator::setUpCommunicationMaps", "Receiving broadcasted send maps finished", rank);
#endif
} // end loop over domains
} else {
_error("setUpCommunicationMapsForRemoteElementMode: unknown mode");
}
}
NM_Status
NRSolver :: solve(SparseMtrx &k, FloatArray &R, FloatArray *R0,
FloatArray &X, FloatArray &dX, FloatArray &F,
const FloatArray &internalForcesEBENorm, double &l, referenceLoadInputModeType rlm,
int &nite, TimeStep *tStep)
//
// this function solve the problem of the unbalanced equilibrium
// using NR scheme
//
//
{
// residual, iteration increment of solution, total external force
FloatArray rhs, ddX, RT;
double RRT;
FloatArray norm;
norm = internalForcesEBENorm;
int neq = X.giveSize();
bool converged, errorOutOfRangeFlag;
ParallelContext *parallel_context = engngModel->giveParallelContext( this->domain->giveNumber() );
if ( engngModel->giveProblemScale() == macroScale ) {
OOFEM_LOG_INFO("NRSolver: Iteration");
if ( rtolf.at(1) > 0.0 ) {
OOFEM_LOG_INFO(" ForceError");
}
if ( rtold.at(1) > 0.0 ) {
OOFEM_LOG_INFO(" DisplError");
}
OOFEM_LOG_INFO("\n----------------------------------------------------------------------------\n");
}
l = 1.0;
NM_Status status = NM_None;
this->giveLinearSolver();
// compute total load R = R+R0
RT = R;
if ( R0 ) {
RT.add(* R0);
}
RRT = parallel_context->localNorm(RT);
RRT *= RRT;
ddX.resize(neq);
ddX.zero();
// Fetch the matrix before evaluating internal forces.
// This is intentional, since its a simple way to drastically increase convergence for nonlinear problems.
// (This old tangent is just used)
// This improves convergence for many nonlinear problems, but not all. It may actually
// cause divergence for some nonlinear problems. Therefore a flag is used to determine if
// the stiffness should be evaluated before the residual (default yes). /ES
engngModel->updateComponent(tStep, NonLinearLhs, domain);
if ( this->prescribedDofsFlag ) {
if ( !prescribedEqsInitFlag ) {
this->initPrescribedEqs();
}
applyConstraintsToStiffness(k);
}
nite = 0;
do {
// Compute the residual
engngModel->updateComponent(tStep, InternalRhs, domain);
rhs.beDifferenceOf(RT, F);
if ( this->prescribedDofsFlag ) {
this->applyConstraintsToLoadIncrement(nite, k, rhs, rlm, tStep);
}
// convergence check
converged = this->checkConvergence(RT, F, rhs, ddX, X, RRT, internalForcesEBENorm, nite, errorOutOfRangeFlag);
if ( errorOutOfRangeFlag ) {
status = NM_NoSuccess;
OOFEM_WARNING("Divergence reached after %d iterations", nite);
break;
} else if ( converged && ( nite >= minIterations ) ) {
break;
} else if ( nite >= nsmax ) {
OOFEM_LOG_DEBUG("Maximum number of iterations reached\n");
break;
}
if ( nite > 0 || !mCalcStiffBeforeRes ) {
if ( ( NR_Mode == nrsolverFullNRM ) || ( ( NR_Mode == nrsolverAccelNRM ) && ( nite % MANRMSteps == 0 ) ) ) {
engngModel->updateComponent(tStep, NonLinearLhs, domain);
applyConstraintsToStiffness(k);
}
}
if ( ( nite == 0 ) && ( deltaL < 1.0 ) ) { // deltaL < 1 means no increment applied, only equilibrate current state
rhs.zero();
R.zero();
ddX = rhs;
} else {
linSolver->solve(k, rhs, ddX);
}
//
// update solution
//
if ( this->lsFlag && ( nite > 0 ) ) { // Why not nite == 0 ?
// line search
LineSearchNM :: LS_status LSstatus;
double eta;
this->giveLineSearchSolver()->solve(X, ddX, F, R, R0, prescribedEqs, 1.0, eta, LSstatus, tStep);
} else if ( this->constrainedNRFlag && ( nite > this->constrainedNRminiter ) ) {
///@todo This doesn't check units, it is nonsense and must be corrected / Mikael
if ( this->forceErrVec.computeSquaredNorm() > this->forceErrVecOld.computeSquaredNorm() ) {
OOFEM_LOG_INFO("Constraining increment to be %e times full increment...\n", this->constrainedNRalpha);
ddX.times(this->constrainedNRalpha);
}
//this->giveConstrainedNRSolver()->solve(X, & ddX, this->forceErrVec, this->forceErrVecOld, status, tStep);
}
X.add(ddX);
dX.add(ddX);
tStep->incrementStateCounter(); // update solution state counter
tStep->incrementSubStepNumber();
nite++; // iteration increment
engngModel->giveExportModuleManager()->doOutput(tStep, true);
} while ( true ); // end of iteration
status |= NM_Success;
solved = 1;
// Modify Load vector to include "quasi reaction"
if ( R0 ) {
for ( int i = 1; i <= numberOfPrescribedDofs; i++ ) {
R.at( prescribedEqs.at(i) ) = F.at( prescribedEqs.at(i) ) - R0->at( prescribedEqs.at(i) ) - R.at( prescribedEqs.at(i) );
}
} else {
for ( int i = 1; i <= numberOfPrescribedDofs; i++ ) {
R.at( prescribedEqs.at(i) ) = F.at( prescribedEqs.at(i) ) - R.at( prescribedEqs.at(i) );
}
}
this->lastReactions.resize(numberOfPrescribedDofs);
#ifdef VERBOSE
if ( numberOfPrescribedDofs ) {
// print quasi reactions if direct displacement control used
OOFEM_LOG_INFO("\n");
OOFEM_LOG_INFO("NRSolver: Quasi reaction table \n");
OOFEM_LOG_INFO("NRSolver: Node Dof Displacement Force\n");
double reaction;
for ( int i = 1; i <= numberOfPrescribedDofs; i++ ) {
reaction = R.at( prescribedEqs.at(i) );
if ( R0 ) {
reaction += R0->at( prescribedEqs.at(i) );
}
lastReactions.at(i) = reaction;
OOFEM_LOG_INFO("NRSolver: %-15d %-15d %-+15.5e %-+15.5e\n", prescribedDofs.at(2 * i - 1), prescribedDofs.at(2 * i),
X.at( prescribedEqs.at(i) ), reaction);
}
OOFEM_LOG_INFO("\n");
}
#endif
return status;
}
NM_Status
StaggeredSolver :: solve(SparseMtrx &k, FloatArray &R, FloatArray *R0,
FloatArray &Xtotal, FloatArray &dXtotal, FloatArray &F,
const FloatArray &internalForcesEBENorm, double &l, referenceLoadInputModeType rlm,
int &nite, TimeStep *tStep)
{
// residual, iteration increment of solution, total external force
FloatArray RHS, rhs, ddXtotal, RT;
double RRTtotal;
int neq = Xtotal.giveSize();
NM_Status status;
bool converged, errorOutOfRangeFlag;
ParallelContext *parallel_context = engngModel->giveParallelContext( this->domain->giveNumber() );
if ( engngModel->giveProblemScale() == macroScale ) {
OOFEM_LOG_INFO("StaggeredSolver: Iteration");
if ( rtolf.at(1) > 0.0 ) {
OOFEM_LOG_INFO(" ForceError");
}
if ( rtold.at(1) > 0.0 ) {
OOFEM_LOG_INFO(" DisplError");
}
OOFEM_LOG_INFO("\n----------------------------------------------------------------------------\n");
}
l = 1.0;
status = NM_None;
this->giveLinearSolver();
// compute total load R = R+R0
RT = R;
if ( R0 ) {
RT.add(* R0);
}
RRTtotal = parallel_context->localNorm(RT);
RRTtotal *= RRTtotal;
ddXtotal.resize(neq);
ddXtotal.zero();
// Fetch the matrix before evaluating internal forces.
// This is intentional, since its a simple way to drastically increase convergence for nonlinear problems.
// (This old tangent is just used)
// This improves convergence for many nonlinear problems, but not all. It may actually
// cause divergence for some nonlinear problems. Therefore a flag is used to determine if
// the stiffness should be evaluated before the residual (default yes). /ES
//-------------------------------------------------
// Compute external forces
int numDofIdGroups = this->UnknownNumberingSchemeList.size();
FloatArray RRT(numDofIdGroups);
for ( int dG = 0; dG < numDofIdGroups; dG++ ) {
this->fExtList[dG].beSubArrayOf( RT, locArrayList[dG] );
RRT(dG) = this->fExtList[dG].computeSquaredNorm();
}
int nStaggeredIter = 0;
do {
// Staggered iterations
for ( int dG = 0; dG < (int)this->UnknownNumberingSchemeList.size(); dG++ ) {
printf("\nSolving for dof group %d \n", dG+1);
engngModel->updateComponent(tStep, NonLinearLhs, domain);
this->stiffnessMatrixList[dG] = k.giveSubMatrix( locArrayList[dG], locArrayList[dG]);
if ( this->prescribedDofsFlag ) {
if ( !prescribedEqsInitFlag ) {
this->initPrescribedEqs();
}
applyConstraintsToStiffness(k);
}
nite = 0;
do {
// Compute the residual
engngModel->updateComponent(tStep, InternalRhs, domain);
RHS.beDifferenceOf(RT, F);
this->fIntList[dG].beSubArrayOf( F, locArrayList[dG] );
rhs.beDifferenceOf(this->fExtList[dG], this->fIntList[dG]);
RHS.zero();
RHS.assemble(rhs, locArrayList[dG]);
if ( this->prescribedDofsFlag ) {
this->applyConstraintsToLoadIncrement(nite, k, rhs, rlm, tStep);
}
// convergence check
IntArray &idArray = UnknownNumberingSchemeList[dG].dofIdArray;
converged = this->checkConvergenceDofIdArray(RT, F, RHS, ddXtotal, Xtotal, RRTtotal, internalForcesEBENorm, nite, errorOutOfRangeFlag, tStep, idArray);
if ( errorOutOfRangeFlag ) {
status = NM_NoSuccess;
OOFEM_WARNING("Divergence reached after %d iterations", nite);
break;
} else if ( converged && ( nite >= minIterations ) ) {
break;
} else if ( nite >= nsmax ) {
OOFEM_LOG_DEBUG("Maximum number of iterations reached\n");
break;
}
if ( nite > 0 || !mCalcStiffBeforeRes ) {
if ( ( NR_Mode == nrsolverFullNRM ) || ( ( NR_Mode == nrsolverAccelNRM ) && ( nite % MANRMSteps == 0 ) ) ) {
engngModel->updateComponent(tStep, NonLinearLhs, domain);
this->stiffnessMatrixList[dG] = k.giveSubMatrix( locArrayList[dG], locArrayList[dG]);
applyConstraintsToStiffness(*this->stiffnessMatrixList[dG]);
}
}
if ( ( nite == 0 ) && ( deltaL < 1.0 ) ) { // deltaL < 1 means no increment applied, only equilibrate current state
rhs.zero();
R.zero();
ddX[dG] = rhs;
} else {
status = linSolver->solve(*this->stiffnessMatrixList[dG], rhs, ddX[dG]);
}
//
// update solution
//
if ( this->lsFlag && ( nite > 0 ) ) { // Why not nite == 0 ?
// line search
LineSearchNM :: LS_status LSstatus;
double eta;
this->giveLineSearchSolver()->solve( X[dG], ddX[dG], fIntList[dG], fExtList[dG], R0, prescribedEqs, 1.0, eta, LSstatus, tStep);
} else if ( this->constrainedNRFlag && ( nite > this->constrainedNRminiter ) ) {
if ( this->forceErrVec.computeSquaredNorm() > this->forceErrVecOld.computeSquaredNorm() ) {
printf("Constraining increment to be %e times full increment...\n", this->constrainedNRalpha);
ddX[dG].times(this->constrainedNRalpha);
}
}
X[dG].add(ddX[dG]);
dX[dG].add(ddX[dG]);
// Update total solution (containing all dofs)
Xtotal.assemble(ddX[dG], locArrayList[dG]);
dXtotal.assemble(ddX[dG], locArrayList[dG]);
ddXtotal.zero();
ddXtotal.assemble(ddX[dG], locArrayList[dG]);
tStep->incrementStateCounter(); // update solution state counter
tStep->incrementSubStepNumber();
nite++; // iteration increment
engngModel->giveExportModuleManager()->doOutput(tStep, true);
} while ( true ); // end of iteration
}
printf("\nStaggered iteration (all dof id's) \n");
// Check convergence of total system
RHS.beDifferenceOf(RT, F);
converged = this->checkConvergence(RT, F, RHS, ddXtotal, Xtotal, RRTtotal, internalForcesEBENorm, nStaggeredIter, errorOutOfRangeFlag);
if ( converged && ( nStaggeredIter >= minIterations ) ) {
break;
}
nStaggeredIter++;
} while ( true ); // end of iteration
status |= NM_Success;
solved = 1;
// Modify Load vector to include "quasi reaction"
if ( R0 ) {
for ( int i = 1; i <= numberOfPrescribedDofs; i++ ) {
R.at( prescribedEqs.at(i) ) = F.at( prescribedEqs.at(i) ) - R0->at( prescribedEqs.at(i) ) - R.at( prescribedEqs.at(i) );
}
} else {
for ( int i = 1; i <= numberOfPrescribedDofs; i++ ) {
R.at( prescribedEqs.at(i) ) = F.at( prescribedEqs.at(i) ) - R.at( prescribedEqs.at(i) );
}
}
this->lastReactions.resize(numberOfPrescribedDofs);
#ifdef VERBOSE
if ( numberOfPrescribedDofs ) {
// print quasi reactions if direct displacement control used
OOFEM_LOG_INFO("\n");
OOFEM_LOG_INFO("StaggeredSolver: Quasi reaction table \n");
OOFEM_LOG_INFO("StaggeredSolver: Node Dof Displacement Force\n");
double reaction;
for ( int i = 1; i <= numberOfPrescribedDofs; i++ ) {
reaction = R->at( prescribedEqs.at(i) );
if ( R0 ) {
reaction += R0->at( prescribedEqs.at(i) );
}
lastReactions.at(i) = reaction;
OOFEM_LOG_INFO("StaggeredSolver: %-15d %-15d %-+15.5e %-+15.5e\n", prescribedDofs.at(2 * i - 1), prescribedDofs.at(2 * i),
X.at( prescribedEqs.at(i) ), reaction);
}
OOFEM_LOG_INFO("\n");
}
#endif
return status;
}
void AbaqusUserMaterial :: giveFirstPKStressVector_3d(FloatArray &answer, GaussPoint *gp,
const FloatArray &vF, TimeStep *tStep)
{
AbaqusUserMaterialStatus *ms = static_cast< AbaqusUserMaterialStatus * >( this->giveStatus(gp) );
/* User-defined material name, left justified. Some internal material models are given names starting with
* the “ABQ_” character string. To avoid conflict, you should not use “ABQ_” as the leading string for
* CMNAME. */
//char cmname[80];
// Sizes of the tensors.
int ndi = 3;
int nshr = 3;
int ntens = ndi + nshr;
FloatArray stress(9); // PK1
FloatArray strainIncrement;
// compute Green-Lagrange strain
FloatArray strain;
FloatArray vS;
FloatMatrix F, E;
F.beMatrixForm(vF);
E.beTProductOf(F, F);
E.at(1, 1) -= 1.0;
E.at(2, 2) -= 1.0;
E.at(3, 3) -= 1.0;
E.times(0.5);
strain.beSymVectorFormOfStrain(E);
strainIncrement.beDifferenceOf(strain, ms->giveStrainVector());
FloatArray state = ms->giveStateVector();
FloatMatrix jacobian(9, 9); // dPdF
int numProperties = this->properties.giveSize();
// Temperature and increment
double temp = 0.0, dtemp = 0.0;
// Times and increment
double dtime = tStep->giveTimeIncrement();
///@todo Check this. I'm just guessing. Maybe intrinsic time instead?
double time [ 2 ] = {
tStep->giveTargetTime() - dtime, tStep->giveTargetTime()
};
double pnewdt = 1.0; ///@todo Right default value? umat routines may change this (although we ignore it)
/* Specific elastic strain energy, plastic dissipation, and “creep” dissipation, respectively. These are passed
* in as the values at the start of the increment and should be updated to the corresponding specific energy
* values at the end of the increment. They have no effect on the solution, except that they are used for
* energy output. */
double sse, spd, scd;
// Outputs only in a fully coupled thermal-stress analysis:
double rpl = 0.0; // Volumetric heat generation per unit time at the end of the increment caused by mechanical working of the material.
FloatArray ddsddt(ntens); // Variation of the stress increments with respect to the temperature.
FloatArray drplde(ntens); // Variation of RPL with respect to the strain increments.
double drpldt = 0.0; // Variation of RPL with respect to the temperature.
/* An array containing the coordinates of this point. These are the current coordinates if geometric
* nonlinearity is accounted for during the step (see “Procedures: overview,” Section 6.1.1); otherwise,
* the array contains the original coordinates of the point */
FloatArray coords;
gp->giveElement()->computeGlobalCoordinates( coords, gp->giveNaturalCoordinates() ); ///@todo Large deformations?
/* Rotation increment matrix. This matrix represents the increment of rigid body rotation of the basis
* system in which the components of stress (STRESS) and strain (STRAN) are stored. It is provided so
* that vector- or tensor-valued state variables can be rotated appropriately in this subroutine: stress and
* strain components are already rotated by this amount before UMAT is called. This matrix is passed in
* as a unit matrix for small-displacement analysis and for large-displacement analysis if the basis system
* for the material point rotates with the material (as in a shell element or when a local orientation is used).*/
FloatMatrix drot(3, 3);
drot.beUnitMatrix();
/* Characteristic element length, which is a typical length of a line across an element for a first-order
* element; it is half of the same typical length for a second-order element. For beams and trusses it is a
* characteristic length along the element axis. For membranes and shells it is a characteristic length in
* the reference surface. For axisymmetric elements it is a characteristic length in the
* plane only.
* For cohesive elements it is equal to the constitutive thickness.*/
double celent = 0.0; /// @todo Include the characteristic element length
/* Array containing the deformation gradient at the beginning of the increment. See the discussion
* regarding the availability of the deformation gradient for various element types. */
FloatMatrix dfgrd0(3, 3);
/* Array containing the deformation gradient at the end of the increment. The components of this array
* are set to zero if nonlinear geometric effects are not included in the step definition associated with
* this increment. See the discussion regarding the availability of the deformation gradient for various
* element types. */
FloatMatrix dfgrd1(3, 3);
dfgrd0.beMatrixForm( ms->giveFVector() );
dfgrd1.beMatrixForm(vF);
int noel = gp->giveElement()->giveNumber(); // Element number.
int npt = 0; // Integration point number.
// We intentionally ignore the layer number since that is handled by the layered cross-section in OOFEM.
int layer = 0; // Layer number (for composite shells and layered solids)..
int kspt = 0; // Section point number within the current layer.
int kstep = tStep->giveMetaStepNumber(); // Step number.
int kinc = 0; // Increment number.
///@todo No idea about these parameters
double predef;
double dpred;
// Change to Abaqus's component order
stress.changeComponentOrder();
strain.changeComponentOrder();
strainIncrement.changeComponentOrder();
OOFEM_LOG_DEBUG("AbaqusUserMaterial :: giveRealStressVector - Calling subroutine");
this->umat(stress.givePointer(), // STRESS
state.givePointer(), // STATEV
jacobian.givePointer(), // DDSDDE
& sse, // SSE
& spd, // SPD
& scd, // SCD
& rpl, // RPL
ddsddt.givePointer(), // DDSDDT
drplde.givePointer(), // DRPLDE
& drpldt, // DRPLDT
strain.givePointer(), // STRAN
strainIncrement.givePointer(), // DSTRAN
time, // TIME
& dtime, // DTIME
& temp, // TEMP
& dtemp, // DTEMP
& predef, // PREDEF
& dpred, // DPRED
this->cmname, // CMNAME
& ndi, // NDI
& nshr, // NSHR
& ntens, // NTENS
& numState, // NSTATV
properties.givePointer(), // PROPS
& numProperties, // NPROPS
coords.givePointer(), // COORDS
drot.givePointer(), // DROT
& pnewdt, // PNEWDT
& celent, // CELENT
dfgrd0.givePointer(), // DFGRD0
dfgrd1.givePointer(), // DFGRD1
& noel, // NOEL
& npt, // NPT
& layer, // LAYER
& kspt, // KSPT
& kstep, // KSTEP
& kinc); // KINC
// Change to OOFEM's component order
stress.changeComponentOrder();
strain.changeComponentOrder();
strainIncrement.changeComponentOrder();
jacobian.changeComponentOrder();
if ( mStressInterpretation == 0 ) {
FloatMatrix P, cauchyStress;
P.beMatrixForm(stress);
FloatArray vP;
vP.beVectorForm(P);
cauchyStress.beProductTOf(P, F);
cauchyStress.times( 1.0 / F.giveDeterminant() );
FloatArray vCauchyStress;
vCauchyStress.beSymVectorForm(cauchyStress);
ms->letTempStrainVectorBe(strain);
ms->letTempStressVectorBe(vCauchyStress);
ms->letTempStateVectorBe(state);
ms->letTempTangentBe(jacobian);
ms->letTempPVectorBe(vP);
ms->letTempFVectorBe(vF);
answer = vP;
} else {
FloatArray vP;
FloatMatrix P, sigma, F_inv;
F_inv.beInverseOf(F);
sigma.beMatrixForm(stress);
P.beProductOf(F, sigma);
vP.beVectorForm(P);
answer = vP;
// Convert from sigma to S
FloatMatrix S;
S.beProductOf(F_inv, P);
vS.beSymVectorForm(S);
// @todo Should convert from dsigmadE to dSdE here
// L2=detF*matmul( matmul ( inv(op_a_V9(F,F), cm-op_a_V9(ident,Tau)-op_b_V9(Tau,ident) ), inv(op_a_V9(Ft,Ft)))
ms->letTempStrainVectorBe(strain);
ms->letTempStressVectorBe(vS);
ms->letTempStateVectorBe(state);
ms->letTempTangentBe(jacobian);
ms->letTempPVectorBe(vP);
ms->letTempFVectorBe(vF);
}
OOFEM_LOG_DEBUG("AbaqusUserMaterial :: giveRealStressVector_3d - Calling subroutine was successful");
}
int CompCol :: buildInternalStructure(EngngModel *eModel, int di, EquationID ut, const UnknownNumberingScheme &s)
{
/*
* IntArray loc;
* Domain* domain = eModel->giveDomain(di);
* int neq = eModel -> giveNumberOfDomainEquations (di);
* int nelem = domain -> giveNumberOfElements() ;
* int i,ii,j,jj,n, indx;
* Element* elem;
* // allocation map
* char* map = new char[neq*neq];
* if (map == NULL) {
* printf ("CompCol::buildInternalStructure - map creation failed");
* exit (1);
* }
*
* for (i=0; i<neq*neq; i++)
* map[i]=0;
*
*
* this->nz_ = 0;
*
* for (n=1 ; n<=nelem ; n++) {
* elem = domain -> giveElement(n);
* elem -> giveLocationArray (loc) ;
*
* for (i=1 ; i <= loc.giveSize() ; i++) {
* if ((ii = loc.at(i))) {
* for (j=1; j <= loc.giveSize() ; j++) {
* if ((jj=loc.at(j))) {
* if (map[(ii-1)*neq+jj-1] == 0) {
* map[(ii-1)*neq+jj-1] = 1;
* this->nz_ ++;
* }
* }
* }
* }
* }
* }
*
* rowind_.resize (nz_);
* colptr_.resize (neq+1);
* indx = 0;
* for (j=0; j<neq; j++) { // column loop
* colptr_(j) = indx;
* for (i=0; i<neq; i++) { // row loop
* if (map[i*neq+j]) {
* rowind_(indx) = i;
* indx++;
* }
* }
* }
* colptr_(neq) = indx;
*
* // delete map
* delete (map);
*
* // allocate value array
* val_.resize(nz_);
* val_.zero();
*
* printf ("\nCompCol info: neq is %d, nwk is %d\n",neq,nz_);
*
* dim_[0] = dim_[1] = nColumns = nRows = neq;
*
* // increment version
* this->version++;
*
* return true;
*/
IntArray loc;
Domain *domain = eModel->giveDomain(di);
int neq = eModel->giveNumberOfDomainEquations(di, ut);
int nelem = domain->giveNumberOfElements();
int i, ii, j, jj, n, indx;
Element *elem;
// allocation map
std :: vector< std :: set< int > >columns(neq);
/*
* std::set<int> **columns = new std::set<int>*[neq];
* for (j=0; j<neq; j++) {
* columns[j] = new std::set<int>;
* }
*/
this->nz_ = 0;
for ( n = 1; n <= nelem; n++ ) {
elem = domain->giveElement(n);
elem->giveLocationArray(loc, ut, s);
for ( i = 1; i <= loc.giveSize(); i++ ) {
if ( ( ii = loc.at(i) ) ) {
for ( j = 1; j <= loc.giveSize(); j++ ) {
if ( ( jj = loc.at(j) ) ) {
columns [ jj - 1 ].insert(ii - 1);
}
}
}
}
}
for ( i = 0; i < neq; i++ ) {
this->nz_ += columns [ i ].size();
}
rowind_.resize(nz_);
colptr_.resize(neq + 1);
indx = 0;
std :: set< int > :: iterator pos;
for ( j = 0; j < neq; j++ ) { // column loop
colptr_(j) = indx;
for ( pos = columns [ j ].begin(); pos != columns [ j ].end(); ++pos ) { // row loop
rowind_(indx++) = * pos;
}
}
colptr_(neq) = indx;
/*
* // delete map
* for (i=0; i< neq; i++) {columns[i]->clear(); delete columns[i];}
* delete columns;
*/
// allocate value array
val_.resize(nz_);
val_.zero();
OOFEM_LOG_DEBUG("CompCol info: neq is %d, nwk is %d\n", neq, nz_);
dim_ [ 0 ] = dim_ [ 1 ] = nColumns = nRows = neq;
// increment version
this->version++;
return true;
}
void DDLinearStatic :: solveYourselfAt(TimeStep *tStep)
{
/**
* Perform DD
* Currently this is completely specific, but needs to be generalized
* by perhaps creating an DD_interface class to do set of functions
*/
/**************************************************************************/
int NumberOfDomains = this->giveNumberOfDomains();
// Loop through all the giveNumberOfDomains
for (int i = 1; i<= NumberOfDomains; i++) {
//Domain *domain = this->giveDomain(i);
/// Create a spatial localizer which in effect has services for locating points in element etc.
//SpatialLocalizer *sl = domain->giveSpatialLocalizer();
// Perform DD solution at this time step, solution will depend on quantities in the input file
/// @todo these have to be defined and initialized earlier
/// Each domain for the DD case can have only one material... throw error otherwise
//// Also the DD_domains should be intialized with these materials properties during input
//// Here i am just using values from input file for algorithmic convenience
/*
dd::OofemInterface * interface = new dd::OofemInterface(this);
*/
dd::Domain dd_domain(70e-3, 0.3, NULL);
dd::SlipSystem ss0 = dd::SlipSystem(0.0, 0.25e-3);
dd_domain.addSlipSystem(&ss0);
dd::SlipPlane sp0 = dd::SlipPlane(&dd_domain, &ss0, 0.0);
dd::ObstaclePoint o0 = dd::ObstaclePoint(&dd_domain, &sp0, -0.25, 20.0e3);
dd::ObstaclePoint o1 = dd::ObstaclePoint(&dd_domain, &sp0, 0.25, 20.0e3);
double e = dd_domain.getModulus();
double nu = dd_domain.getPassionsRatio();
double mu = e / (2. * ( 1. + nu));
double fact = mu * ss0.getBurgersMagnitude() / ( 2 * M_PI * (1. - nu));
dd::SourcePoint s1 = dd::SourcePoint(&dd_domain, &sp0, 0, 25e-6, fact / 25e-6);
for( dd_domain.dtNo = 1; dd_domain.dtNo < dd_domain.dtNomax; dd_domain.dtNo++) {
std::cerr << "Total dislocs in domain: " << sp0.getContainer<dd::DislocationPoint>().size() << "\n";
std::cerr << "Dislocs: " << sp0.dumpToString<dd::DislocationPoint>() << "\n";
std::cerr.flush();
dd_domain.updateForceCaches();
for(auto point : dd_domain.getContainer<dd::DislocationPoint>()) {
dd::Vector<2> force, forceGradient;
dd::Vector<3> stress;
force = dd::Vector<2>({0.0,0.0});
//point->sumCaches(force, forceGradient, stress);
force = point->cachedForce();
stress = point->cachedStress();
std::cout << "Cached Force at " << point->slipPlanePosition() << ": " << point->getBurgersSign() << " " << force[0] << " " << stress[2] << " " << point->slipPlanePosition() << "\n";
}
dd_domain.updateForceCaches();
dd_domain.moveDislocations(1.0e-11, 1.0e-18);
s1.spawn(1, 5);
/*
for(int bcNo = 1; bcNo <= giveDomain(i)->giveNumberOfBoundaryConditions(); bcNo++) {
ManualBoundaryCondition * bc = dynamic_cast<ManualBoundaryCondition *>(giveDomain(i)->giveBc(bcNo));
if(bc == nullptr || bc->giveType() != DirichletBT) { continue; }
dd::Vector<2> bcContribution;
Domain * d = bc->giveDomain();
Set * set = d->giveSet(bc->giveSetNumber());
for(int nodeNo : set->giveNodeList()) {
Node * node = static_cast<Node *>(d->giveDofManager(nodeNo));
for (auto &dofid : bc->giveDofIDs()) {
Dof * dof = node->giveDofWithID(dofid);
interface->giveNodalBcContribution(node, bcContribution);
// TODO: Determine the dimensions without pointer checking
double toAdd;
if(dof->giveDofID() == D_u) {
toAdd = bcContribution[0];
}
else if(dof->giveDofID() == D_v) {
toAdd = bcContribution[1];
}
else {
OOFEM_ERROR("DOF must be x-disp or y-disp");
}
bc->addManualValue(dof, toAdd);
}
}
std::cout << "BC Contribution: " << bcContribution[0] << " " << bcContribution[1] << "\n";
}
*/
//delete interface;
} // end dtNo loop
}
/**************************************************************************/
//
// creates system of governing eq's and solves them at given time step
//
// first assemble problem at current time step
if ( initFlag ) {
#ifdef VERBOSE
OOFEM_LOG_DEBUG("Assembling stiffness matrix\n");
#endif
//
// first step assemble stiffness Matrix
//
stiffnessMatrix.reset( classFactory.createSparseMtrx(sparseMtrxType) );
if ( !stiffnessMatrix ) {
OOFEM_ERROR("sparse matrix creation failed");
}
stiffnessMatrix->buildInternalStructure( this, 1, EModelDefaultEquationNumbering() );
this->assemble( *stiffnessMatrix, tStep, TangentAssembler(TangentStiffness),
EModelDefaultEquationNumbering(), this->giveDomain(1) );
initFlag = 0;
}
#ifdef VERBOSE
OOFEM_LOG_DEBUG("Assembling load\n");
#endif
//
// allocate space for displacementVector
//
displacementVector.resize( this->giveNumberOfDomainEquations( 1, EModelDefaultEquationNumbering() ) );
displacementVector.zero();
//
// assembling the load vector
//
loadVector.resize( this->giveNumberOfDomainEquations( 1, EModelDefaultEquationNumbering() ) );
loadVector.zero();
this->assembleVector( loadVector, tStep, ExternalForceAssembler(), VM_Total,
EModelDefaultEquationNumbering(), this->giveDomain(1) );
//
// internal forces (from Dirichlet b.c's, or thermal expansion, etc.)
//
FloatArray internalForces( this->giveNumberOfDomainEquations( 1, EModelDefaultEquationNumbering() ) );
internalForces.zero();
this->assembleVector( internalForces, tStep, InternalForceAssembler(), VM_Total,
EModelDefaultEquationNumbering(), this->giveDomain(1) );
loadVector.subtract(internalForces);
this->updateSharedDofManagers(loadVector, EModelDefaultEquationNumbering(), ReactionExchangeTag);
//
// set-up numerical model
//
this->giveNumericalMethod( this->giveMetaStep( tStep->giveMetaStepNumber() ) );
//
// call numerical model to solve arose problem
//
#ifdef VERBOSE
OOFEM_LOG_INFO("\n\nSolving ...\n\n");
#endif
NM_Status s = nMethod->solve(*stiffnessMatrix, loadVector, displacementVector);
if ( !( s & NM_Success ) ) {
OOFEM_ERROR("No success in solving system.");
}
tStep->incrementStateCounter(); // update solution state counter
}
NM_Status
LineSearchNM :: solve(FloatArray *r, FloatArray *dr, FloatArray *F, FloatArray *R, FloatArray *R0,
IntArray &eqnmask, double lambda, double &etaValue, LS_status &status, TimeStep *tNow)
{
int ico, ii, ils, neq = r->giveSize();
double s0, si;
FloatArray g(neq), rb(neq);
// Compute inner product at start and stop if positive
g = * R;
g.times(lambda);
if ( R0 ) {
g.add(*R0);
}
g.subtract(*F);
for ( ii = 1; ii <= eqnmask.giveSize(); ii++ ) {
g.at( eqnmask.at(ii) ) = 0.0;
}
s0 = ( -1.0 ) * g.dotProduct(* dr);
if ( s0 >= 0.0 ) {
//printf ("\nLineSearchNM::solve starting inner product uphill, val=%e",s0);
OOFEM_LOG_DEBUG("LS: product uphill, eta=%e\n", 1.0);
r->add(*dr);
tNow->incrementStateCounter(); // update solution state counter
engngModel->updateComponent(tNow, InternalRhs, domain);
etaValue = 1.0;
status = ls_ok;
return NM_Success;
}
// keep original total displacement r
rb = * r;
eta.resize(this->max_iter + 1);
prod.resize(this->max_iter + 1);
// prepare starting product ratios and step lengths
prod.at(1) = 1.0;
eta.at(1) = 0.0;
eta.at(2) = 1.0;
// following counter shows how many times the max or min step length has been reached
ico = 0;
// begin line search loop
for ( ils = 2; ils <= this->max_iter; ils++ ) {
// update displacements
for ( ii = 1; ii <= neq; ii++ ) {
r->at(ii) = rb.at(ii) + this->eta.at(ils) * dr->at(ii);
}
tNow->incrementStateCounter(); // update solution state counter
// update internal forces according to new state
engngModel->updateComponent(tNow, InternalRhs, domain);
// compute out-of balance forces g in new state
g = * R;
g.times(lambda);
if ( R0 ) {
g.add(*R0);
}
g.subtract(*F);
for ( ii = 1; ii <= eqnmask.giveSize(); ii++ ) {
g.at( eqnmask.at(ii) ) = 0.0;
}
// compute current inner-product ratio
si = ( -1.0 ) * g.dotProduct(*dr) / s0;
prod.at(ils) = si;
// check if line-search tolerance is satisfied
if ( fabs(si) < ls_tolerance ) {
dr->times( this->eta.at(ils) );
//printf ("\nLineSearchNM::solve tolerance satisfied for eta=%e, ils=%d", eta.at(ils),ils);
OOFEM_LOG_DEBUG( "LS: ils=%d, eta=%e\n", ils, eta.at(ils) );
etaValue = eta.at(ils);
status = ls_ok;
return NM_Success;
}
// call line-search routine to get new estimate of eta.at(ils)
this->search(ils, prod, eta, this->amplifFactor, this->maxEta, this->minEta, ico);
if ( ico == 2 ) {
break; // exit the loop
}
} // end line search loop
// exceeded no of ls iterations of ls failed
//if (ico == 2) printf("\nLineSearchNM::solve max or min step length has been reached two times");
//else printf("\nLineSearchNM::solve reached max number of ls searches");
OOFEM_LOG_DEBUG( "LS: ils=%d, ico=%d, eta=%e\n", ils, ico, eta.at(ils) );
/* update F before */
for ( ii = 1; ii <= neq; ii++ ) {
r->at(ii) = rb.at(ii) + dr->at(ii);
}
tNow->incrementStateCounter(); // update solution state counter
engngModel->updateComponent(tNow, InternalRhs, domain);
etaValue = 1.0;
status = ls_failed;
return NM_NoSuccess;
}
SparseMtrx *Skyline :: factorized()
{
// Returns the receiver in U(transp).D.U Crout factorization form.
int i, j, k, aci, aci1, acj, acj1, ack, ack1, ac, acs, acri, acrk, n;
double s, g;
#ifdef TIME_REPORT
//clock_t tstart = clock();
oofem_timeval tstart;
getUtime(tstart);
#endif
/************************/
/* matrix elimination */
/************************/
if ( isFactorized ) {
return this;
}
n = this->giveNumberOfRows();
// report skyline statistics
OOFEM_LOG_DEBUG("Skyline info: neq is %d, nwk is %d\n", n, this->nwk);
for ( k = 2; k <= n; k++ ) {
/* smycka pres sloupce matice */
ack = adr->at(k);
ack1 = adr->at(k + 1);
acrk = k - ( ack1 - ack ) + 1;
for ( i = acrk + 1; i < k; i++ ) {
/* smycka pres prvky jednoho sloupce matice */
aci = adr->at(i);
aci1 = adr->at(i + 1);
acri = i - ( aci1 - aci ) + 1;
if ( acri < acrk ) {
ac = acrk;
} else {
ac = acri;
}
acj = k - ac + ack;
acj1 = k - i + ack;
acs = i - ac + aci;
s = 0.0;
for ( j = acj; j > acj1; j-- ) {
s += mtrx [ j ] * mtrx [ acs ];
acs--;
}
mtrx [ acj1 ] -= s;
}
/* uprava diagonalniho prvku */
s = 0.0;
for ( i = ack1 - 1; i > ack; i-- ) {
g = mtrx [ i ];
acs = adr->at(acrk);
acrk++;
mtrx [ i ] /= mtrx [ acs ];
s += mtrx [ i ] * g;
}
mtrx [ ack ] -= s;
}
isFactorized = true;
#ifdef TIME_REPORT
//printf ("Skyline info: user time consumed by factorization: %.2lfs\n", (clock()-tstart)/(double)CLOCKS_PER_SEC);
oofem_timeval ut;
getRelativeUtime(ut, tstart);
OOFEM_LOG_DEBUG( "Skyline info: user time consumed by factorization: %.2fs\n", ( double ) ( ut.tv_sec + ut.tv_usec / ( double ) OOFEM_USEC_LIM ) );
#endif
// increment version
//this->version++;
return this;
}