bool
NodeErrorCheckingRule :: check(Domain *domain, TimeStep *tStep)
{
// Rule doesn't apply yet.
if ( tStep->giveNumber() != tstep ) {
return true;
}
DofManager *dman = domain->giveGlobalDofManager(number);
if ( !dman ) {
if ( domain->giveEngngModel()->isParallel() ) {
return true;
} else {
OOFEM_WARNING("Dof manager %d not found.", number);
return false;
}
}
if ( dman->giveParallelMode() == DofManager_remote || dman->giveParallelMode() == DofManager_null ) {
return true;
}
Dof *dof = dman->giveDofWithID(dofid);
double dmanValue = dof->giveUnknown(mode, tStep);
bool check = checkValue(dmanValue);
if ( !check ) {
OOFEM_WARNING("Check failed in: tstep %d, node %d, dof %d, mode %d:\n"
"value is %.8e, but should be %.8e ( error is %e but tolerance is %e )",
tstep, number, dofid, mode,
dmanValue, value, fabs(dmanValue-value), tolerance );
}
return check;
}
void Tr21Stokes :: giveIntegratedVelocity(FloatMatrix &answer, TimeStep *tStep )
{
/*
* Integrate velocity over element
*/
IntegrationRule *iRule = integrationRulesArray [ 0 ];
FloatMatrix v, v_gamma, ThisAnswer, boundaryV, Nmatrix;
double detJ;
FloatArray *lcoords, N;
int i, j, k=0;
Dof *d;
GaussPoint *gp;
v.resize(12,1);
v.zero();
boundaryV.resize(2,1);
for (i=1; i<=this->giveNumberOfDofManagers(); i++) {
for (j=1; j<=this->giveDofManager(i)->giveNumberOfDofs(); j++) {
d = this->giveDofManager(i)->giveDof(j);
if ((d->giveDofID()==V_u) || (d->giveDofID()==V_v)) {
k=k+1;
v.at(k,1)=d->giveUnknown(EID_ConservationEquation, VM_Total, tStep);
/*} else if (d->giveDofID()==A_x) {
boundaryV.at(1,1)=d->giveUnknown(EID_ConservationEquation, VM_Total, tStep);
} else if (d->giveDofID()==A_y) {
boundaryV.at(2,1)=d->giveUnknown(EID_ConservationEquation, VM_Total, tStep);*/
}
}
}
answer.resize(2,1);
answer.zero();
Nmatrix.resize(2,12);
for (i=0; i<iRule->getNumberOfIntegrationPoints(); i++) {
gp = iRule->getIntegrationPoint(i);
lcoords = gp->giveCoordinates();
this->interpolation_quad.evalN(N, *lcoords, FEIElementGeometryWrapper(this));
detJ = this->interpolation_quad.giveTransformationJacobian(*lcoords, FEIElementGeometryWrapper(this));
N.times(detJ*gp->giveWeight());
for (j=1; j<=6;j++) {
Nmatrix.at(1,j*2-1)=N.at(j);
Nmatrix.at(2,j*2)=N.at(j);
}
ThisAnswer.beProductOf(Nmatrix,v);
answer.add(ThisAnswer);
}
}
double PrescribedGradientBCPeriodic :: giveUnknown(double val, ValueModeType mode, TimeStep *tStep, ActiveDof *dof)
{
DofManager *master = this->domain->giveDofManager(this->slavemap[dof->giveDofManager()->giveNumber()]);
DofIDItem id = dof->giveDofID();
FloatArray *coords = dof->giveDofManager()->giveCoordinates();
FloatArray *masterCoords = master->giveCoordinates();
FloatArray dx, uM;
dx.beDifferenceOf(* coords, * masterCoords );
int ind;
if ( id == D_u || id == V_u || id == P_f || id == T_f ) {
ind = 1;
} else if ( id == D_v || id == V_v ) {
ind = 2;
} else { /*if ( id == D_w || id == V_w )*/ // 3D only:
ind = 3;
}
FloatMatrix grad(3, 3);
for ( int i = 0; i < this->strain_id.giveSize(); ++i ) {
Dof *dof = this->strain->giveDofWithID(strain_id[i]);
grad(i % 3, i / 3) = dof->giveUnknown(mode, tStep);
}
uM.beProductOf(grad, dx); // The "jump" part of the unknown ( u^+ = [[u^M]] + u^- )
return val + uM.at(ind);
}
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);
}
}
void
Node2NodeContactL :: computeContactTractionAt(GaussPoint *gp, FloatArray &t, FloatArray &gap, TimeStep *tStep)
{
// should be replaced with a call to constitutive model
// gap should be in a local system
if ( gap.at(1) < 0.0 ) {
Dof *dof = masterNode->giveDofWithID( this->giveDofIdArray().at(1) );
double lambda = dof->giveUnknown(VM_Total, tStep);
t = {lambda, 0.0, 0.0};
//printf("lambda %e \n\n", lambda);
} else {
t = {0.0, 0.0, 0.0};
}
}
void
MatlabExportModule :: doOutputData(TimeStep *tStep, FILE *FID)
{
Domain *domain = emodel->giveDomain(1);
std :: vector< int >DofIDList;
std :: vector< int > :: iterator it;
std :: vector< std :: vector< double > * >valuesList;
std :: vector< double > *values;
for ( int i = 1; i <= domain->giveNumberOfDofManagers(); i++ ) {
for ( int j = 1; j <= domain->giveDofManager(i)->giveNumberOfDofs(); j++ ) {
Dof *thisDof;
thisDof = domain->giveDofManager(i)->giveDof(j);
it = std :: find( DofIDList.begin(), DofIDList.end(), thisDof->giveDofID() );
if ( it == DofIDList.end() ) {
DofIDList.push_back( thisDof->giveDofID() );
values = new( std :: vector< double > );
valuesList.push_back(values);
} else {
int pos = it - DofIDList.begin();
values = valuesList.at(pos);
}
double value = thisDof->giveUnknown(EID_MomentumBalance, VM_Total, tStep);
values->push_back(value);
}
}
fprintf(FID, "\tdata.DofIDs=[");
for ( size_t i = 0; i < DofIDList.size(); i++ ) {
fprintf( FID, "%u, ", DofIDList.at(i) );
}
fprintf(FID, "];\n");
for ( size_t i = 0; i < valuesList.size(); i++ ) {
fprintf(FID, "\tdata.a{%lu}=[", static_cast<long unsigned int>(i) + 1);
for ( size_t j = 0; j < valuesList.at(i)->size(); j++ ) {
fprintf( FID, "%f,", valuesList.at(i)->at(j) );
}
fprintf(FID, "];\n");
}
}
void
CoupledFieldsElement :: computeVectorOfDofIDs(const IntArray &dofIdArray, ValueModeType valueMode, TimeStep *stepN, FloatArray &answer)
{
// Routine to extract the solution vector for an element given an dofid array.
// Size will be numberOfDofs and if a certain dofId does not exist a zero is used as value.
answer.resize( numberOfDofMans * dofIdArray.giveSize() ); // equal number of nodes for all fields
answer.zero();
int k = 1;
for ( int i = 1; i <= numberOfDofMans; i++ ) {
DofManager *dMan = this->giveDofManager(i);
for (int j = 1; j <= dofIdArray.giveSize(); j++ ) {
if ( dMan->hasDofID( (DofIDItem) dofIdArray.at(j) ) ) {
Dof *d = dMan->giveDofWithID( dofIdArray.at(j) );
answer.at(k) = d->giveUnknown(valueMode, stepN);
}
k++;
}
}
}
void LinearConstraintBC :: assembleVector(FloatArray &answer, TimeStep *tStep, EquationID eid,
CharType type, ValueModeType mode,
const UnknownNumberingScheme &s, FloatArray *eNorms)
{
IntArray loc, lambdaeq(1);
FloatArray vec(1);
double factor=1.;
if (!this->rhsType.contains((int) type)) return ;
if (!this->isImposed(tStep)) return;
if (type == InternalForcesVector) {
// compute true residual
int size = this->weights.giveSize();
Dof *idof;
// assemble location array
for ( int _i = 1; _i <= size; _i++ ) {
factor=1.;
if(weightsLtf.giveSize()){
factor = domain->giveLoadTimeFunction(weightsLtf.at(_i))->__at(tStep->giveIntrinsicTime());
}
idof = this->domain->giveDofManager( this->dofmans.at(_i) )->giveDof( this->dofs.at(_i) );
answer.at(s.giveDofEquationNumber(idof)) += md->giveDof(1)->giveUnknown(mode, tStep) * this->weights.at(_i)*factor;
answer.at(s.giveDofEquationNumber( md->giveDof(1) )) += idof->giveUnknown(mode, tStep) * this->weights.at(_i)*factor;
}
} else {
// use rhs value
if(rhsLtf){
factor = domain->giveLoadTimeFunction(rhsLtf)->__at(tStep->giveIntrinsicTime());
}
this->giveLocArray(s, loc, lambdaeq.at(1));
vec.at(1) = rhs*factor;
answer.assemble(vec, lambdaeq);
}
}
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 GnuplotExportModule::outputBoundaryCondition(PrescribedGradientBCWeak &iBC, TimeStep *tStep)
{
FloatArray stress;
iBC.computeField(stress, tStep);
printf("Mean stress computed in Gnuplot export module: "); stress.printYourself();
double time = 0.0;
TimeStep *ts = emodel->giveCurrentStep();
if ( ts != NULL ) {
time = ts->giveTargetTime();
}
int bcIndex = iBC.giveNumber();
std :: stringstream strMeanStress;
strMeanStress << "PrescribedGradientGnuplotMeanStress" << bcIndex << "Time" << time << ".dat";
std :: string nameMeanStress = strMeanStress.str();
std::vector<double> componentArray, stressArray;
for(int i = 1; i <= stress.giveSize(); i++) {
componentArray.push_back(i);
stressArray.push_back(stress.at(i));
}
XFEMDebugTools::WriteArrayToGnuplot(nameMeanStress, componentArray, stressArray);
// Homogenized strain
FloatArray grad;
iBC.giveGradientVoigt(grad);
outputGradient(iBC.giveNumber(), *iBC.giveDomain(), grad, tStep);
#if 0
FloatArray grad;
iBC.giveGradientVoigt(grad);
double timeFactor = iBC.giveTimeFunction()->evaluate(ts, VM_Total);
printf("timeFactor: %e\n", timeFactor );
grad.times(timeFactor);
printf("Mean grad computed in Gnuplot export module: "); grad.printYourself();
std :: stringstream strMeanGrad;
strMeanGrad << "PrescribedGradientGnuplotMeanGrad" << bcIndex << "Time" << time << ".dat";
std :: string nameMeanGrad = strMeanGrad.str();
std::vector<double> componentArrayGrad, gradArray;
for(int i = 1; i <= grad.giveSize(); i++) {
componentArrayGrad.push_back(i);
gradArray.push_back(grad.at(i));
}
XFEMDebugTools::WriteArrayToGnuplot(nameMeanGrad, componentArrayGrad, gradArray);
#endif
if(mExportBoundaryConditionsExtra) {
// Traction node coordinates
std::vector< std::vector<FloatArray> > nodePointArray;
size_t numTracEl = iBC.giveNumberOfTractionElements();
for(size_t i = 0; i < numTracEl; i++) {
std::vector<FloatArray> points;
FloatArray xS, xE;
iBC.giveTractionElCoord(i, xS, xE);
points.push_back(xS);
points.push_back(xE);
nodePointArray.push_back(points);
}
std :: stringstream strTractionNodes;
strTractionNodes << "TractionNodesGnuplotTime" << time << ".dat";
std :: string nameTractionNodes = strTractionNodes.str();
WritePointsToGnuplot(nameTractionNodes, nodePointArray);
// Traction element normal direction
std::vector< std::vector<FloatArray> > nodeNormalArray;
for(size_t i = 0; i < numTracEl; i++) {
std::vector<FloatArray> points;
FloatArray n,t;
iBC.giveTractionElNormal(i, n,t);
points.push_back(n);
points.push_back(n);
nodeNormalArray.push_back(points);
}
std :: stringstream strTractionNodeNormals;
strTractionNodeNormals << "TractionNodeNormalsGnuplotTime" << time << ".dat";
std :: string nameTractionNodeNormals = strTractionNodeNormals.str();
WritePointsToGnuplot(nameTractionNodeNormals, nodeNormalArray);
// Traction (x,y)
std::vector< std::vector<FloatArray> > nodeTractionArray;
for(size_t i = 0; i < numTracEl; i++) {
std::vector<FloatArray> tractions;
FloatArray tS, tE;
iBC.giveTraction(i, tS, tE, VM_Total, tStep);
tractions.push_back(tS);
tractions.push_back(tE);
nodeTractionArray.push_back(tractions);
}
std :: stringstream strTractions;
strTractions << "TractionsGnuplotTime" << time << ".dat";
std :: string nameTractions = strTractions.str();
WritePointsToGnuplot(nameTractions, nodeTractionArray);
// Arc position along the boundary
std::vector< std::vector<FloatArray> > arcPosArray;
for(size_t i = 0; i < numTracEl; i++) {
std::vector<FloatArray> arcPos;
double xiS = 0.0, xiE = 0.0;
iBC.giveTractionElArcPos(i, xiS, xiE);
arcPos.push_back( FloatArray{xiS} );
arcPos.push_back( FloatArray{xiE} );
arcPosArray.push_back(arcPos);
}
std :: stringstream strArcPos;
strArcPos << "ArcPosGnuplotTime" << time << ".dat";
std :: string nameArcPos = strArcPos.str();
WritePointsToGnuplot(nameArcPos, arcPosArray);
// Traction (normal, tangent)
std::vector< std::vector<FloatArray> > nodeTractionNTArray;
for(size_t i = 0; i < numTracEl; i++) {
std::vector<FloatArray> tractions;
FloatArray tS, tE;
iBC.giveTraction(i, tS, tE, VM_Total, tStep);
FloatArray n,t;
iBC.giveTractionElNormal(i, n, t);
double tSn = tS.dotProduct(n,2);
double tSt = tS.dotProduct(t,2);
tractions.push_back( {tSn ,tSt} );
double tEn = tE.dotProduct(n,2);
double tEt = tE.dotProduct(t,2);
tractions.push_back( {tEn, tEt} );
nodeTractionNTArray.push_back(tractions);
}
std :: stringstream strTractionsNT;
strTractionsNT << "TractionsNormalTangentGnuplotTime" << time << ".dat";
std :: string nameTractionsNT = strTractionsNT.str();
WritePointsToGnuplot(nameTractionsNT, nodeTractionNTArray);
// Boundary points and displacements
IntArray boundaries, bNodes;
iBC.giveBoundaries(boundaries);
std::vector< std::vector<FloatArray> > bndNodes;
for ( int pos = 1; pos <= boundaries.giveSize() / 2; ++pos ) {
Element *e = iBC.giveDomain()->giveElement( boundaries.at(pos * 2 - 1) );
int boundary = boundaries.at(pos * 2);
e->giveInterpolation()->boundaryGiveNodes(bNodes, boundary);
std::vector<FloatArray> bndSegNodes;
// Add the start and end nodes of the segment
DofManager *startNode = e->giveDofManager( bNodes[0] );
FloatArray xS = *(startNode->giveCoordinates());
Dof *dSu = startNode->giveDofWithID(D_u);
double dU = dSu->giveUnknown(VM_Total, tStep);
xS.push_back(dU);
Dof *dSv = startNode->giveDofWithID(D_v);
double dV = dSv->giveUnknown(VM_Total, tStep);
xS.push_back(dV);
bndSegNodes.push_back(xS);
DofManager *endNode = e->giveDofManager( bNodes[1] );
FloatArray xE = *(endNode->giveCoordinates());
Dof *dEu = endNode->giveDofWithID(D_u);
dU = dEu->giveUnknown(VM_Total, tStep);
xE.push_back(dU);
Dof *dEv = endNode->giveDofWithID(D_v);
dV = dEv->giveUnknown(VM_Total, tStep);
xE.push_back(dV);
bndSegNodes.push_back(xE);
bndNodes.push_back(bndSegNodes);
}
std :: stringstream strBndNodes;
strBndNodes << "BndNodesGnuplotTime" << time << ".dat";
std :: string nameBndNodes = strBndNodes.str();
WritePointsToGnuplot(nameBndNodes, bndNodes);
}
}
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);
}
void IncrementalLinearStatic :: solveYourselfAt(TimeStep *tStep)
{
// Creates system of governing eq's and solves them at given time step
// Initiates the total displacement to zero.
if ( tStep->isTheFirstStep() ) {
Domain *d = this->giveDomain(1);
for ( int i = 1; i <= d->giveNumberOfDofManagers(); i++ ) {
DofManager *dofman = d->giveDofManager(i);
for ( int j = 1; j <= dofman->giveNumberOfDofs(); j++ ) {
dofman->giveDof(j)->updateUnknownsDictionary(tStep, VM_Total_Old, 0.);
dofman->giveDof(j)->updateUnknownsDictionary(tStep, VM_Total, 0.);
// This is actually redundant now;
//dofman->giveDof(j)->updateUnknownsDictionary(tStep, VM_Incremental, 0.);
}
}
int nbc = d->giveNumberOfBoundaryConditions();
for ( int ibc = 1; ibc <= nbc; ++ibc ) {
GeneralBoundaryCondition *bc = d->giveBc(ibc);
ActiveBoundaryCondition *abc;
if ( ( abc = dynamic_cast< ActiveBoundaryCondition * >( bc ) ) ) {
int ndman = abc->giveNumberOfInternalDofManagers();
for ( int i = 1; i <= ndman; i++ ) {
DofManager *dofman = abc->giveInternalDofManager(i);
for ( int j = 1; j <= dofman->giveNumberOfDofs(); j++ ) {
dofman->giveDof(j)->updateUnknownsDictionary(tStep, VM_Total_Old, 0.);
dofman->giveDof(j)->updateUnknownsDictionary(tStep, VM_Total, 0.);
// This is actually redundant now;
//dofman->giveDof(j)->updateUnknownsDictionary(tStep, VM_Incremental, 0.);
}
}
}
}
}
// Apply dirichlet b.c's on total values
Domain *d = this->giveDomain(1);
for ( int i = 1; i <= d->giveNumberOfDofManagers(); i++ ) {
DofManager *dofman = d->giveDofManager(i);
for ( int j = 1; j <= dofman->giveNumberOfDofs(); j++ ) {
Dof *d = dofman->giveDof(j);
double tot = d->giveUnknown(VM_Total_Old, tStep);
if ( d->hasBc(tStep) ) {
tot += d->giveBcValue(VM_Incremental, tStep);
}
d->updateUnknownsDictionary(tStep, VM_Total, tot);
}
}
#ifdef VERBOSE
OOFEM_LOG_RELEVANT( "Solving [step number %8d, time %15e]\n", tStep->giveNumber(), tStep->giveTargetTime() );
#endif
int neq = this->giveNumberOfDomainEquations(1, EModelDefaultEquationNumbering());
if (neq == 0) { // Allows for fully prescribed/empty problems.
return;
}
incrementOfDisplacementVector.resize(neq);
incrementOfDisplacementVector.zero();
#ifdef VERBOSE
OOFEM_LOG_INFO("Assembling load\n");
#endif
// Assembling the element part of load vector
internalLoadVector.resize(neq);
internalLoadVector.zero();
this->assembleVector( internalLoadVector, tStep, EID_MomentumBalance, InternalForcesVector,
VM_Total, EModelDefaultEquationNumbering(), this->giveDomain(1) );
loadVector.resize(neq);
loadVector.zero();
this->assembleVector( loadVector, tStep, EID_MomentumBalance, ExternalForcesVector,
VM_Total, EModelDefaultEquationNumbering(), this->giveDomain(1) );
loadVector.subtract(internalLoadVector);
#ifdef VERBOSE
OOFEM_LOG_INFO("Assembling stiffness matrix\n");
#endif
if ( stiffnessMatrix ) {
delete stiffnessMatrix;
}
stiffnessMatrix = classFactory.createSparseMtrx(sparseMtrxType);
if ( stiffnessMatrix == NULL ) {
_error("solveYourselfAt: sparse matrix creation failed");
}
stiffnessMatrix->buildInternalStructure( this, 1, EID_MomentumBalance, EModelDefaultEquationNumbering() );
stiffnessMatrix->zero();
this->assemble( stiffnessMatrix, tStep, EID_MomentumBalance, StiffnessMatrix,
EModelDefaultEquationNumbering(), this->giveDomain(1) );
#ifdef VERBOSE
OOFEM_LOG_INFO("Solving ...\n");
#endif
this->giveNumericalMethod( this->giveCurrentMetaStep() );
NM_Status s = nMethod->solve(stiffnessMatrix, & loadVector, & incrementOfDisplacementVector);
if ( !(s & NM_Success) ) {
OOFEM_ERROR("IncrementalLinearStatic :: solverYourselfAt - No success in solving system.");
}
}