int
StructuralEngngModel :: packDofManagers(FloatArray *src, ProcessCommunicator &processComm, bool prescribedEquations)
{
int result = 1;
int i, size;
int j, ndofs, eqNum;
Domain *domain = this->giveDomain(1);
IntArray const *toSendMap = processComm.giveToSendMap();
ProcessCommunicatorBuff *pcbuff = processComm.giveProcessCommunicatorBuff();
DofManager *dman;
Dof *jdof;
size = toSendMap->giveSize();
for ( i = 1; i <= size; i++ ) {
dman = domain->giveDofManager( toSendMap->at(i) );
ndofs = dman->giveNumberOfDofs();
for ( j = 1; j <= ndofs; j++ ) {
jdof = dman->giveDof(j);
if ( prescribedEquations ) {
eqNum = jdof->__givePrescribedEquationNumber();
} else {
eqNum = jdof->__giveEquationNumber();
}
if ( jdof->isPrimaryDof() && eqNum ) {
result &= pcbuff->packDouble( src->at(eqNum) );
}
}
}
return result;
}
void IncrementalLinearStatic :: updateDofUnknownsDictionary(DofManager *inode, TimeStep *tStep)
{
// update DOF unknowns dictionary, where
// unknowns are hold instead of keeping them in global unknowns
// vectors in engng instances
// this is necessary, because during solution equation numbers for
// particular DOFs may changed, and it is necessary to keep them
// in DOF level.
int ndofs = inode->giveNumberOfDofs();
Dof *iDof;
double val;
for ( int i = 1; i <= ndofs; i++ ) {
iDof = inode->giveDof(i);
// skip slave DOFs (only master (primary) DOFs have to be updated).
if (!iDof->isPrimaryDof()) continue;
val = iDof->giveUnknown(VM_Total, tStep);
if ( !iDof->hasBc(tStep) ) {
val += this->incrementOfDisplacementVector.at( iDof->__giveEquationNumber() );
}
iDof->updateUnknownsDictionary(tStep, VM_Total_Old, val);
iDof->updateUnknownsDictionary(tStep, VM_Total, val);
}
}
int
StructuralEngngModel :: unpackDofManagers(FloatArray *dest, ProcessCommunicator &processComm, bool prescribedEquations)
{
int result = 1;
int i, size;
int j, ndofs, eqNum;
Domain *domain = this->giveDomain(1);
dofManagerParallelMode dofmanmode;
IntArray const *toRecvMap = processComm.giveToRecvMap();
ProcessCommunicatorBuff *pcbuff = processComm.giveProcessCommunicatorBuff();
DofManager *dman;
Dof *jdof;
double value;
size = toRecvMap->giveSize();
for ( i = 1; i <= size; i++ ) {
dman = domain->giveDofManager( toRecvMap->at(i) );
ndofs = dman->giveNumberOfDofs();
dofmanmode = dman->giveParallelMode();
for ( j = 1; j <= ndofs; j++ ) {
jdof = dman->giveDof(j);
if ( prescribedEquations ) {
eqNum = jdof->__givePrescribedEquationNumber();
} else {
eqNum = jdof->__giveEquationNumber();
}
if ( jdof->isPrimaryDof() && eqNum ) {
result &= pcbuff->unpackDouble(value);
if ( dofmanmode == DofManager_shared ) {
dest->at(eqNum) += value;
} else if ( dofmanmode == DofManager_remote ) {
dest->at(eqNum) = value;
} else {
_error("unpackReactions: unknown dof namager parallel mode");
}
}
}
}
return result;
}
int
NonLinearDynamic :: estimateMaxPackSize(IntArray &commMap, CommunicationBuffer &buff, int packUnpackType)
{
int mapSize = commMap.giveSize();
int i, j, ndofs, count = 0, pcount = 0;
IntArray locationArray;
Domain *domain = this->giveDomain(1);
DofManager *dman;
Dof *jdof;
if ( packUnpackType == ProblemCommMode__ELEMENT_CUT ) {
for ( i = 1; i <= mapSize; i++ ) {
count += domain->giveDofManager( commMap.at(i) )->giveNumberOfDofs();
}
return ( buff.givePackSize(MPI_DOUBLE, 1) * count );
} else if ( packUnpackType == ProblemCommMode__NODE_CUT ) {
for ( i = 1; i <= mapSize; i++ ) {
ndofs = ( dman = domain->giveDofManager( commMap.at(i) ) )->giveNumberOfDofs();
for ( j = 1; j <= ndofs; j++ ) {
jdof = dman->giveDof(j);
if ( jdof->isPrimaryDof() && ( jdof->__giveEquationNumber() ) ) {
count++;
} else {
pcount++;
}
}
}
//printf ("\nestimated count is %d\n",count);
return ( buff.givePackSize(MPI_DOUBLE, 1) * max(count, pcount) );
} else if ( packUnpackType == ProblemCommMode__REMOTE_ELEMENT_MODE ) {
for ( i = 1; i <= mapSize; i++ ) {
count += domain->giveElement( commMap.at(i) )->estimatePackSize(buff);
}
return count;
}
return 0;
}
void
NonStationaryTransportProblem :: applyIC(TimeStep *stepWhenIcApply)
{
Domain *domain = this->giveDomain(1);
int neq = this->giveNumberOfEquations(EID_ConservationEquation);
FloatArray *solutionVector;
double val;
#ifdef VERBOSE
OOFEM_LOG_INFO("Applying initial conditions\n");
#endif
int nDofs, j, k, jj;
int nman = domain->giveNumberOfDofManagers();
DofManager *node;
Dof *iDof;
UnknownsField->advanceSolution(stepWhenIcApply);
solutionVector = UnknownsField->giveSolutionVector(stepWhenIcApply);
solutionVector->resize(neq);
solutionVector->zero();
for ( j = 1; j <= nman; j++ ) {
node = domain->giveDofManager(j);
nDofs = node->giveNumberOfDofs();
for ( k = 1; k <= nDofs; k++ ) {
// ask for initial values obtained from
// bc (boundary conditions) and ic (initial conditions)
iDof = node->giveDof(k);
if ( !iDof->isPrimaryDof() ) {
continue;
}
jj = iDof->__giveEquationNumber();
if ( jj ) {
val = iDof->giveUnknown(EID_ConservationEquation, VM_Total, stepWhenIcApply);
solutionVector->at(jj) = val;
//update in dictionary, if the problem is growing/decreasing
if ( this->changingProblemSize ) {
iDof->updateUnknownsDictionary(stepWhenIcApply, EID_MomentumBalance, VM_Total, val);
}
}
}
}
int nelem = domain->giveNumberOfElements();
//project initial temperature to integration points
// for ( j = 1; j <= nelem; j++ ) {
// domain->giveElement(j)->updateInternalState(stepWhenIcApply);
// }
#ifdef __CEMHYD_MODULE
// Not relevant in linear case, but needed for CemhydMat for temperature averaging before solving balance equations
// Update element state according to given ic
TransportElement *element;
CemhydMat *cem;
for ( j = 1; j <= nelem; j++ ) {
element = ( TransportElement * ) domain->giveElement(j);
//assign status to each integration point on each element
if ( element->giveMaterial()->giveClassID() == CemhydMatClass ) {
element->giveMaterial()->initMaterial(element); //create microstructures and statuses on specific GPs
element->updateInternalState(stepWhenIcApply); //store temporary unequilibrated temperature
element->updateYourself(stepWhenIcApply); //store equilibrated temperature
cem = ( CemhydMat * ) element->giveMaterial();
cem->clearWeightTemperatureProductVolume(element);
cem->storeWeightTemperatureProductVolume(element, stepWhenIcApply);
}
}
//perform averaging on each material instance of CemhydMatClass
int nmat = domain->giveNumberOfMaterialModels();
for ( j = 1; j <= nmat; j++ ) {
if ( domain->giveMaterial(j)->giveClassID() == CemhydMatClass ) {
cem = ( CemhydMat * ) domain->giveMaterial(j);
cem->averageTemperature();
}
}
#endif //__CEMHYD_MODULE
}
void DEIDynamic :: solveYourselfAt(TimeStep *tStep)
{
//
// creates system of governing eq's and solves them at given time step
//
// this is an explicit problem: we assemble governing equating at time t
// and solution is obtained for time t+dt
//
// first assemble problem at current time step to obtain results in following
// time step.
// and then print results for this step also.
// for first time step we need special start code
Domain *domain = this->giveDomain(1);
int nelem = domain->giveNumberOfElements();
int nman = domain->giveNumberOfDofManagers();
IntArray loc;
Element *element;
DofManager *node;
Dof *iDof;
int nDofs, neq;
int i, k, n, j, jj, kk, init = 0;
double coeff, maxDt, maxOmi, maxOm = 0., maxOmEl, c1, c2, c3;
FloatMatrix charMtrx, charMtrx2;
FloatArray previousDisplacementVector;
neq = this->giveNumberOfEquations(EID_MomentumBalance);
if ( tStep->giveNumber() == giveNumberOfFirstStep() ) {
init = 1;
#ifdef VERBOSE
OOFEM_LOG_INFO("Assembling mass matrix\n");
#endif
//
// first step assemble mass Matrix
//
massMatrix.resize(neq);
massMatrix.zero();
EModelDefaultEquationNumbering dn;
for ( i = 1; i <= nelem; i++ ) {
element = domain->giveElement(i);
element->giveLocationArray(loc, EID_MomentumBalance, dn);
element->giveCharacteristicMatrix(charMtrx, LumpedMassMatrix, tStep);
// charMtrx.beLumpedOf(fullCharMtrx);
element->giveCharacteristicMatrix(charMtrx2, StiffnessMatrix, tStep);
//
// assemble it manually
//
#ifdef DEBUG
if ( ( n = loc.giveSize() ) != charMtrx.giveNumberOfRows() ) {
_error("solveYourselfAt : dimension mismatch");
}
#endif
n = loc.giveSize();
maxOmEl = 0.;
for ( j = 1; j <= n; j++ ) {
if ( charMtrx.at(j, j) > ZERO_MASS ) {
maxOmi = charMtrx2.at(j, j) / charMtrx.at(j, j);
if ( init ) {
maxOmEl = ( maxOmEl > maxOmi ) ? ( maxOmEl ) : ( maxOmi );
}
}
}
maxOm = ( maxOm > maxOmEl ) ? ( maxOm ) : ( maxOmEl );
for ( j = 1; j <= n; j++ ) {
jj = loc.at(j);
if ( ( jj ) && ( charMtrx.at(j, j) <= ZERO_MASS ) ) {
charMtrx.at(j, j) = charMtrx2.at(j, j) / maxOmEl;
}
}
for ( j = 1; j <= n; j++ ) {
jj = loc.at(j);
if ( jj ) {
massMatrix.at(jj) += charMtrx.at(j, j);
}
}
}
// if init - try to determine the best deltaT
if ( init ) {
maxDt = 2 / sqrt(maxOm);
if ( deltaT > maxDt ) {
OOFEM_LOG_RELEVANT("DEIDynamic: deltaT reduced to %e\n", maxDt);
deltaT = maxDt;
tStep->setTimeIncrement(deltaT);
}
}
//
// special init step - compute displacements at tstep 0
//
displacementVector.resize(neq);
displacementVector.zero();
nextDisplacementVector.resize(neq);
nextDisplacementVector.zero();
velocityVector.resize(neq);
velocityVector.zero();
accelerationVector.resize(neq);
accelerationVector.zero();
for ( j = 1; j <= nman; j++ ) {
node = domain->giveDofManager(j);
nDofs = node->giveNumberOfDofs();
for ( k = 1; k <= nDofs; k++ ) {
// ask for initial values obtained from
// bc (boundary conditions) and ic (initial conditions)
// now we are setting initial cond. for step -1.
iDof = node->giveDof(k);
if ( !iDof->isPrimaryDof() ) {
continue;
}
jj = iDof->__giveEquationNumber();
if ( jj ) {
nextDisplacementVector.at(jj) = iDof->giveUnknown(EID_MomentumBalance, VM_Total, tStep);
// become displacementVector after init
velocityVector.at(jj) = iDof->giveUnknown(EID_MomentumBalance, VM_Velocity, tStep);
// accelerationVector = iDof->giveUnknown(AccelerartionVector,tStep) ;
}
}
}
for ( j = 1; j <= neq; j++ ) {
nextDisplacementVector.at(j) -= velocityVector.at(j) * ( deltaT );
}
return;
} // end of init step
#ifdef VERBOSE
OOFEM_LOG_INFO("Assembling right hand side\n");
#endif
c1 = ( 1. / ( deltaT * deltaT ) );
c2 = ( 1. / ( 2. * deltaT ) );
c3 = ( 2. / ( deltaT * deltaT ) );
previousDisplacementVector = displacementVector;
displacementVector = nextDisplacementVector;
//
// assembling the element part of load vector
//
loadVector.resize( this->giveNumberOfEquations(EID_MomentumBalance) );
loadVector.zero();
this->assembleVector(loadVector, tStep, EID_MomentumBalance, ExternalForcesVector,
VM_Total, EModelDefaultEquationNumbering(), domain);
//
// assembling additional parts of right hand side
//
EModelDefaultEquationNumbering dn;
for ( i = 1; i <= nelem; i++ ) {
element = domain->giveElement(i);
element->giveLocationArray(loc, EID_MomentumBalance, dn);
element->giveCharacteristicMatrix(charMtrx, StiffnessMatrix, tStep);
n = loc.giveSize();
for ( j = 1; j <= n; j++ ) {
jj = loc.at(j);
if ( jj ) {
for ( k = 1; k <= n; k++ ) {
kk = loc.at(k);
if ( kk ) {
loadVector.at(jj) -= charMtrx.at(j, k) * displacementVector.at(kk);
}
}
//
// if init step - find minimum period of vibration in order to
// determine maximal admissible time step
//
//maxOmi = charMtrx.at(j,j)/massMatrix.at(jj) ;
//if (init) maxOm = (maxOm > maxOmi) ? (maxOm) : (maxOmi) ;
}
}
}
for ( j = 1; j <= neq; j++ ) {
coeff = massMatrix.at(j);
loadVector.at(j) += coeff * c3 * displacementVector.at(j) -
coeff * ( c1 - dumpingCoef * c2 ) *
previousDisplacementVector.at(j);
}
//
// set-up numerical model
//
/* it is not necessary 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 arose problem - done locally here
//
#ifdef VERBOSE
OOFEM_LOG_RELEVANT( "Solving [step number %8d, time %15e]\n", tStep->giveNumber(), tStep->giveTargetTime() );
#endif
double prevD;
for ( i = 1; i <= neq; i++ ) {
prevD = previousDisplacementVector.at(i);
nextDisplacementVector.at(i) = loadVector.at(i) /
( massMatrix.at(i) * ( c1 + dumpingCoef * c2 ) );
velocityVector.at(i) = nextDisplacementVector.at(i) - prevD;
accelerationVector.at(i) =
nextDisplacementVector.at(i) -
2. * displacementVector.at(i) + prevD;
}
accelerationVector.times(c1);
velocityVector.times(c2);
}
void
NonLinearDynamic :: 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
int neq = this->giveNumberOfDomainEquations(1, EModelDefaultEquationNumbering());
// Time-stepping constants
this->determineConstants(tStep);
if ( ( tStep->giveNumber() == giveNumberOfFirstStep() ) && initFlag ) {
// Initialization
incrementOfDisplacement.resize(neq);
incrementOfDisplacement.zero();
totalDisplacement.resize(neq);
totalDisplacement.zero();
velocityVector.resize(neq);
velocityVector.zero();
accelerationVector.resize(neq);
accelerationVector.zero();
internalForces.resize(neq);
internalForces.zero();
previousIncrementOfDisplacement.resize(neq);
previousIncrementOfDisplacement.zero();
previousTotalDisplacement.resize(neq);
previousTotalDisplacement.zero();
previousVelocityVector.resize(neq);
previousVelocityVector.zero();
previousAccelerationVector.resize(neq);
previousAccelerationVector.zero();
previousInternalForces.resize(neq);
previousInternalForces.zero();
TimeStep *stepWhenIcApply = new TimeStep(giveNumberOfTimeStepWhenIcApply(), this, 0,
-deltaT, deltaT, 0);
int nDofs, j, k, jj;
int nman = this->giveDomain(di)->giveNumberOfDofManagers();
DofManager *node;
Dof *iDof;
// Considering initial conditions.
for ( j = 1; j <= nman; j++ ) {
node = this->giveDomain(di)->giveDofManager(j);
nDofs = node->giveNumberOfDofs();
for ( k = 1; k <= nDofs; k++ ) {
// Ask for initial values obtained from
// bc (boundary conditions) and ic (initial conditions).
iDof = node->giveDof(k);
if ( !iDof->isPrimaryDof() ) {
continue;
}
jj = iDof->__giveEquationNumber();
if ( jj ) {
totalDisplacement.at(jj) = iDof->giveUnknown(VM_Total, stepWhenIcApply);
velocityVector.at(jj) = iDof->giveUnknown(VM_Velocity, stepWhenIcApply);
accelerationVector.at(jj) = iDof->giveUnknown(VM_Acceleration, stepWhenIcApply);
}
}
}
this->giveInternalForces(internalForces, true, di, tStep);
}
if ( initFlag ) {
// First assemble problem at current time step.
// Option to take into account initial conditions.
if ( !effectiveStiffnessMatrix ) {
effectiveStiffnessMatrix = classFactory.createSparseMtrx(sparseMtrxType);
massMatrix = classFactory.createSparseMtrx(sparseMtrxType);
}
if ( effectiveStiffnessMatrix == NULL || massMatrix == NULL ) {
_error("proceedStep: sparse matrix creation failed");
}
if ( nonlocalStiffnessFlag ) {
if ( !effectiveStiffnessMatrix->isAsymmetric() ) {
_error("proceedStep: effectiveStiffnessMatrix does not support asymmetric storage");
}
}
effectiveStiffnessMatrix->buildInternalStructure( this, di, EID_MomentumBalance, EModelDefaultEquationNumbering() );
massMatrix->buildInternalStructure( this, di, EID_MomentumBalance, EModelDefaultEquationNumbering() );
// Assemble mass matrix
this->assemble(massMatrix, tStep, EID_MomentumBalance, MassMatrix,
EModelDefaultEquationNumbering(), this->giveDomain(di));
// Initialize vectors
help.resize(neq);
help.zero();
rhs.resize(neq);
rhs.zero();
rhs2.resize(neq);
rhs2.zero();
previousIncrementOfDisplacement.resize(neq);
previousTotalDisplacement.resize(neq);
previousVelocityVector.resize(neq);
previousAccelerationVector.resize(neq);
previousInternalForces.resize(neq);
for ( int i = 1; i <= neq; i++ ) {
previousIncrementOfDisplacement.at(i) = incrementOfDisplacement.at(i);
previousTotalDisplacement.at(i) = totalDisplacement.at(i);
previousVelocityVector.at(i) = velocityVector.at(i);
previousAccelerationVector.at(i) = accelerationVector.at(i);
previousInternalForces.at(i) = internalForces.at(i);
}
forcesVector.resize(neq);
forcesVector.zero();
totIterations = 0;
initFlag = 0;
}
#ifdef VERBOSE
OOFEM_LOG_DEBUG("Assembling load\n");
#endif
// Assemble the incremental reference load vector.
this->assembleIncrementalReferenceLoadVectors(incrementalLoadVector, incrementalLoadVectorOfPrescribed,
refLoadInputMode, this->giveDomain(di), EID_MomentumBalance, tStep);
// Assembling the effective load vector
for ( int i = 1; i <= neq; i++ ) {
help.at(i) = a2 * previousVelocityVector.at(i) + a3 * previousAccelerationVector.at(i)
+ eta * ( a4 * previousVelocityVector.at(i)
+ a5 * previousAccelerationVector.at(i)
+ a6 * previousIncrementOfDisplacement.at(i) );
}
massMatrix->times(help, rhs);
if ( delta != 0 ) {
for ( int i = 1; i <= neq; i++ ) {
help.at(i) = delta * ( a4 * previousVelocityVector.at(i)
+ a5 * previousAccelerationVector.at(i)
+ a6 * previousIncrementOfDisplacement.at(i) );
}
this->timesMtrx(help, rhs2, TangentStiffnessMatrix, this->giveDomain(di), tStep);
help.zero();
for ( int i = 1; i <= neq; i++ ) {
rhs.at(i) += rhs2.at(i);
}
}
for ( int i = 1; i <= neq; i++ ) {
rhs.at(i) += incrementalLoadVector.at(i) - previousInternalForces.at(i);
}
//
// Set-up numerical model.
//
this->giveNumericalMethod( this->giveCurrentMetaStep() );
//
// Call numerical model to solve problem.
//
double loadLevel = 1.0;
if ( totIterations == 0 ) { incrementOfDisplacement.zero(); }
if ( initialLoadVector.isNotEmpty() ) {
numMetStatus = nMethod->solve(effectiveStiffnessMatrix, & rhs, & initialLoadVector,
& totalDisplacement, & incrementOfDisplacement, & forcesVector,
internalForcesEBENorm, loadLevel, refLoadInputMode, currentIterations, tStep);
} else {
numMetStatus = nMethod->solve(effectiveStiffnessMatrix, & rhs, NULL,
& totalDisplacement, & incrementOfDisplacement, & forcesVector,
internalForcesEBENorm, loadLevel, refLoadInputMode, currentIterations, tStep);
}
for ( int i = 1; i <= neq; i++ ) {
rhs.at(i) = previousVelocityVector.at(i);
rhs2.at(i) = previousAccelerationVector.at(i);
accelerationVector.at(i) = a0 * incrementOfDisplacement.at(i) - a2 * rhs.at(i) - a3 * rhs2.at(i);
velocityVector.at(i) = a1 * incrementOfDisplacement.at(i) - a4 * rhs.at(i) - a5 * rhs2.at(i)
- a6 * previousIncrementOfDisplacement.at(i);
}
totIterations += currentIterations;
}
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->giveNumberOfEquations(EID_MomentumBalance);
int nman = domain->giveNumberOfDofManagers();
DofManager *node;
Dof *iDof;
int nDofs;
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, ndofs, ndofman = domain->giveNumberOfDofManagers();
dofManagerParallelMode dofmanmode;
DofManager *dman;
Dof *jdof;
for ( int dm = 1; dm <= ndofman; dm++ ) {
dman = domain->giveDofManager(dm);
ndofs = dman->giveNumberOfDofs();
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 ( j = 1; j <= ndofs; j++ ) {
jdof = dman->giveDof(j);
if ( jdof->isPrimaryDof() && ( eqNum = jdof->__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->giveNumber() == giveNumberOfFirstStep() ) {
//
// 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);
nDofs = node->giveNumberOfDofs();
for ( k = 1; k <= nDofs; k++ ) {
// Ask for initial values obtained from
// bc (boundary conditions) and ic (initial conditions)
// all dofs are expected to be DisplacementVector type.
iDof = node->giveDof(k);
if ( !iDof->isPrimaryDof() ) {
continue;
}
jj = iDof->__giveEquationNumber();
if ( jj ) {
displacementVector.at(jj) = iDof->giveUnknown(EID_MomentumBalance, VM_Total, tStep);
velocityVector.at(jj) = iDof->giveUnknown(EID_MomentumBalance, VM_Velocity, tStep);
accelerationVector.at(jj) = iDof->giveUnknown(EID_MomentumBalance, 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
for ( i = 1; i <= neq; i++ ) {
displacementVector.at(i) += previousIncrementOfDisplacementVector.at(i);
}
// 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.
//
for ( k = 1; k <= neq; k++ ) {
loadVector.at(k) -= internalForces.at(k);
}
} else {
// Dynamic relaxation
// compute load factor
pt = 0.0;
#ifdef __PARALLEL_MODE
double my_pt = 0.0, coeff = 1.0;
int eqNum, ndofs, ndofman = domain->giveNumberOfDofManagers();
dofManagerParallelMode dofmanmode;
DofManager *dman;
Dof *jdof;
for ( int dm = 1; dm <= ndofman; dm++ ) {
dman = domain->giveDofManager(dm);
ndofs = dman->giveNumberOfDofs();
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 ( j = 1; j <= ndofs; j++ ) {
jdof = dman->giveDof(j);
if ( jdof->isPrimaryDof() && ( eqNum = jdof->__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->giveNumberOfEquations(EID_MomentumBalance) );
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);
ndofs = dman->giveNumberOfDofs();
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 ( j = 1; j <= ndofs; j++ ) {
jdof = dman->giveDof(j);
if ( jdof->isPrimaryDof() && ( eqNum = jdof->__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
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
NonLinearDynamic :: 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
int neq = this->giveNumberOfEquations(EID_MomentumBalance);
// Time-stepping constants
double dt2 = deltaT * deltaT;
if ( tStep->giveTimeDiscretization() == TD_Newmark ) {
OOFEM_LOG_DEBUG("Solving using Newmark-beta method\n");
a0 = 1 / ( beta * dt2 );
a1 = gamma / ( beta * deltaT );
a2 = 1 / ( beta * deltaT );
a3 = 1 / ( 2 * beta ) - 1;
a4 = ( gamma / beta ) - 1;
a5 = deltaT / 2 * ( gamma / beta - 2 );
a6 = 0;
} else if ( ( tStep->giveTimeDiscretization() == TD_TwoPointBackward ) || ( tStep->giveNumber() == giveNumberOfFirstStep() ) ) {
if ( tStep->giveTimeDiscretization() != TD_ThreePointBackward ) {
OOFEM_LOG_DEBUG("Solving using Backward Euler method\n");
} else {
OOFEM_LOG_DEBUG("Solving initial step using Three-point Backward Euler method\n");
}
a0 = 1 / dt2;
a1 = 1 / deltaT;
a2 = 1 / deltaT;
a3 = 0;
a4 = 0;
a5 = 0;
a6 = 0;
} else if ( tStep->giveTimeDiscretization() == TD_ThreePointBackward ) {
OOFEM_LOG_DEBUG("Solving using Three-point Backward Euler method\n");
a0 = 2 / dt2;
a1 = 3 / ( 2 * deltaT );
a2 = 2 / deltaT;
a3 = 0;
a4 = 0;
a5 = 0;
a6 = 1 / ( 2 * deltaT );
} else {
_error("NonLinearDynamic: Time-stepping scheme not found!\n")
}
if ( tStep->giveNumber() == giveNumberOfFirstStep() ) {
// Initialization
previousIncrementOfDisplacement.resize(neq);
previousIncrementOfDisplacement.zero();
previousTotalDisplacement.resize(neq);
previousTotalDisplacement.zero();
totalDisplacement.resize(neq);
totalDisplacement.zero();
previousInternalForces.resize(neq);
previousInternalForces.zero();
incrementOfDisplacement.resize(neq);
incrementOfDisplacement.zero();
velocityVector.resize(neq);
velocityVector.zero();
accelerationVector.resize(neq);
accelerationVector.zero();
TimeStep *stepWhenIcApply = new TimeStep(giveNumberOfTimeStepWhenIcApply(), this, 0,
-deltaT, deltaT, 0);
int nDofs, j, k, jj;
int nman = this->giveDomain(di)->giveNumberOfDofManagers();
DofManager *node;
Dof *iDof;
// Considering initial conditions.
for ( j = 1; j <= nman; j++ ) {
node = this->giveDomain(di)->giveDofManager(j);
nDofs = node->giveNumberOfDofs();
for ( k = 1; k <= nDofs; k++ ) {
// Ask for initial values obtained from
// bc (boundary conditions) and ic (initial conditions).
iDof = node->giveDof(k);
if ( !iDof->isPrimaryDof() ) {
continue;
}
jj = iDof->__giveEquationNumber();
if ( jj ) {
incrementOfDisplacement.at(jj) = iDof->giveUnknown(EID_MomentumBalance, VM_Total, stepWhenIcApply);
velocityVector.at(jj) = iDof->giveUnknown(EID_MomentumBalance, VM_Velocity, stepWhenIcApply);
accelerationVector.at(jj) = iDof->giveUnknown(EID_MomentumBalance, VM_Acceleration, stepWhenIcApply);
}
}
}
} else {
incrementOfDisplacement.resize(neq);
incrementOfDisplacement.zero();
}
if ( initFlag ) {
// First assemble problem at current time step.
// Option to take into account initial conditions.
if ( !stiffnessMatrix ) {
stiffnessMatrix = CreateUsrDefSparseMtrx(sparseMtrxType);
}
if ( stiffnessMatrix == NULL ) {
_error("proceedStep: sparse matrix creation failed");
}
if ( nonlocalStiffnessFlag ) {
if ( !stiffnessMatrix->isAsymmetric() ) {
_error("proceedStep: stiffnessMatrix does not support asymmetric storage");
}
}
stiffnessMatrix->buildInternalStructure( this, di, EID_MomentumBalance, EModelDefaultEquationNumbering() );
// Initialize vectors
help.resize(neq);
rhs.resize(neq);
rhs2.resize(neq);
internalForces.resize(neq);
help.zero();
rhs.zero();
rhs2.zero();
previousTotalDisplacement.resize(neq);
for ( int i = 1; i <= neq; i++ ) {
previousTotalDisplacement.at(i) = totalDisplacement.at(i);
}
initFlag = 0;
}
#ifdef VERBOSE
OOFEM_LOG_DEBUG("Assembling load\n");
#endif
// Assemble the incremental reference load vector.
this->assembleIncrementalReferenceLoadVectors(incrementalLoadVector, incrementalLoadVectorOfPrescribed,
refLoadInputMode, this->giveDomain(di), EID_MomentumBalance, tStep);
// Assembling the effective load vector
for ( int i = 1; i <= neq; i++ ) {
help.at(i) = a2 * velocityVector.at(i) + a3 * accelerationVector.at(i)
+ eta * ( a4 * velocityVector.at(i)
+ a5 * accelerationVector.at(i)
+ a6 * previousIncrementOfDisplacement.at(i) );
}
this->timesMtrx(help, rhs, MassMatrix, this->giveDomain(di), tStep);
if ( delta != 0 ) {
for ( int i = 1; i <= neq; i++ ) {
help.at(i) = delta * ( a4 * velocityVector.at(i)
+ a5 * accelerationVector.at(i)
+ a6 * previousIncrementOfDisplacement.at(i) );
}
this->timesMtrx(help, rhs2, StiffnessMatrix, this->giveDomain(di), tStep);
help.zero();
for ( int i = 1; i <= neq; i++ ) {
rhs.at(i) += rhs2.at(i);
}
}
for ( int i = 1; i <= neq; i++ ) {
rhs.at(i) += incrementalLoadVector.at(i) - previousInternalForces.at(i);
totalDisplacement.at(i) = previousTotalDisplacement.at(i);
}
//
// Set-up numerical model.
//
this->giveNumericalMethod( this->giveCurrentMetaStep() );
//
// Call numerical model to solve problem.
//
double loadLevel = 1.0;
if ( initialLoadVector.isNotEmpty() ) {
numMetStatus = nMethod->solve(stiffnessMatrix, & rhs, & initialLoadVector,
& totalDisplacement, & incrementOfDisplacement, & internalForces,
internalForcesEBENorm, loadLevel, refLoadInputMode, currentIterations, tStep);
} else {
numMetStatus = nMethod->solve(stiffnessMatrix, & rhs, NULL,
& totalDisplacement, & incrementOfDisplacement, & internalForces,
internalForcesEBENorm, loadLevel, refLoadInputMode, currentIterations, tStep);
}
OOFEM_LOG_INFO("Equilibrium reached in %d iterations\n", currentIterations);
}