C++ FEInterpolation::giveTransformationJacobian方法代码示例

void
MatlabExportModule :: doOutputHomogenizeDofIDs(TimeStep *tStep,    FILE *FID)
{

    std :: vector <FloatArray*> HomQuantities;
    double Vol = 0.0;

    // Initialize vector of arrays constaining homogenized quantities
    HomQuantities.resize(internalVarsToExport.giveSize());

    for (int j=0; j<internalVarsToExport.giveSize(); j++) {
        HomQuantities.at(j) = new FloatArray;
    }

    int nelem = this->elList.giveSize();
    for (int i = 1; i<=nelem; i++) {
        Element *e = this->emodel->giveDomain(1)->giveElement(elList.at(i));
        FEInterpolation *Interpolation = e->giveInterpolation();

        Vol = Vol + e->computeVolumeAreaOrLength();

        for ( GaussPoint *gp: *e->giveDefaultIntegrationRulePtr() ) {

            for (int j=0; j<internalVarsToExport.giveSize(); j++) {
                FloatArray elementValues;
                e->giveIPValue(elementValues, gp, (InternalStateType) internalVarsToExport(j), tStep);
                double detJ=fabs(Interpolation->giveTransformationJacobian( gp->giveNaturalCoordinates(), FEIElementGeometryWrapper(e)));

                elementValues.times(gp->giveWeight()*detJ);
                if (HomQuantities.at(j)->giveSize() == 0) {
                    HomQuantities.at(j)->resize(elementValues.giveSize());
                    HomQuantities.at(j)->zero();
                };
                HomQuantities.at(j)->add(elementValues);
            }
        }
    }


    if (noscaling) Vol=1.0;

    for ( std :: size_t i = 0; i < HomQuantities.size(); i ++) {
        FloatArray *thisIS;
        thisIS = HomQuantities.at(i);
        thisIS->times(1.0/Vol);
        fprintf(FID, "\tspecials.%s = [", __InternalStateTypeToString ( InternalStateType (internalVarsToExport(i)) ) );

        for (int j = 0; j<thisIS->giveSize(); j++) {
            fprintf(FID, "%e", thisIS->at(j+1));
            if (j!=(thisIS->giveSize()-1) ) {
                fprintf(FID, ", ");
            }
        }
        fprintf(FID, "];\n");
        delete HomQuantities.at(i);
    }

}

void
PrescribedMean :: computeDomainSize()
{
    if (domainSize > 0.0) return;


    if (elementEdges) {
        IntArray setList = ((GeneralBoundaryCondition *)this)->giveDomain()->giveSet(set)->giveBoundaryList();

        elements.resize(setList.giveSize() / 2);
        sides.resize(setList.giveSize() / 2);

        for (int i=1; i<=setList.giveSize(); i=i+2) {
            elements.at(i/2+1) = setList.at(i);
            sides.at(i/2+1) = setList.at(i+1);
        }
    } else {
        IntArray setList = ((GeneralBoundaryCondition *)this)->giveDomain()->giveSet(set)->giveElementList();
        elements = setList;
    }

    domainSize = 0.0;

    for ( int i=1; i<=elements.giveSize(); i++ ) {
        int elementID = elements.at(i);
        Element *thisElement = this->giveDomain()->giveElement(elementID);
        FEInterpolation *interpolator = thisElement->giveInterpolation(DofIDItem(dofid));

        IntegrationRule *iRule;

        if (elementEdges) {
            iRule = interpolator->giveBoundaryIntegrationRule(3, sides.at(i));
        } else {
            iRule = interpolator->giveIntegrationRule(3);
        }

        for ( GaussPoint * gp: * iRule ) {
            FloatArray lcoords = gp->giveNaturalCoordinates();

            double detJ;
            if (elementEdges) {
                detJ = fabs ( interpolator->boundaryGiveTransformationJacobian(sides.at(i), lcoords, FEIElementGeometryWrapper(thisElement)) );
            } else {
                detJ = fabs ( interpolator->giveTransformationJacobian(lcoords, FEIElementGeometryWrapper(thisElement)) );
            }
            domainSize = domainSize + detJ*gp->giveWeight();
        }

        delete iRule;
    }

    printf("%f\n", domainSize);

}

double
NLStructuralElement :: computeCurrentVolume(TimeStep *tStep)
{
    double vol=0.0;
    for ( auto &gp: *this->giveDefaultIntegrationRulePtr() ) {
        FloatArray F;
        FloatMatrix Fm;


        computeDeformationGradientVector(F, gp, tStep);
        Fm.beMatrixForm(F);
        double J = Fm.giveDeterminant();

        FEInterpolation *interpolation = this->giveInterpolation();
        double detJ = fabs( ( interpolation->giveTransformationJacobian( gp->giveNaturalCoordinates(), FEIElementGeometryWrapper(this) ) ) );

        vol += gp->giveWeight() * detJ * J;
    }

    return vol;
}

void
PrescribedMean :: assemble(SparseMtrx &answer, TimeStep *tStep, CharType type,
                           const UnknownNumberingScheme &r_s, const UnknownNumberingScheme &c_s)
{

    if ( type != TangentStiffnessMatrix && type != StiffnessMatrix ) {
        return;
    }

    computeDomainSize();

    IntArray c_loc, r_loc;
    lambdaDman->giveLocationArray(lambdaIDs, r_loc, r_s);
    lambdaDman->giveLocationArray(lambdaIDs, c_loc, c_s);

    for ( int i=1; i<=elements.giveSize(); i++ ) {
        int elementID = elements.at(i);
        Element *thisElement = this->giveDomain()->giveElement(elementID);
        FEInterpolation *interpolator = thisElement->giveInterpolation(DofIDItem(dofid));

        IntegrationRule *iRule = (elementEdges) ? (interpolator->giveBoundaryIntegrationRule(3, sides.at(i))) :
                                 (interpolator->giveIntegrationRule(3));

        for ( GaussPoint * gp: * iRule ) {
            FloatArray lcoords = gp->giveNaturalCoordinates();
            FloatArray N; //, a;
            FloatMatrix temp, tempT;
            double detJ = 0.0;
            IntArray boundaryNodes, dofids= {(DofIDItem) this->dofid}, r_Sideloc, c_Sideloc;

            if (elementEdges) {
                // Compute boundary integral
                interpolator->boundaryGiveNodes( boundaryNodes, sides.at(i) );
                interpolator->boundaryEvalN(N, sides.at(i), lcoords, FEIElementGeometryWrapper(thisElement));
                detJ = fabs ( interpolator->boundaryGiveTransformationJacobian(sides.at(i), lcoords, FEIElementGeometryWrapper(thisElement)) );
                // Retrieve locations for dofs on boundary
                thisElement->giveBoundaryLocationArray(r_Sideloc, boundaryNodes, dofids, r_s);
                thisElement->giveBoundaryLocationArray(c_Sideloc, boundaryNodes, dofids, c_s);
            } else {
                interpolator->evalN(N, lcoords, FEIElementGeometryWrapper(thisElement));
                detJ = fabs ( interpolator->giveTransformationJacobian(lcoords, FEIElementGeometryWrapper(thisElement) ) );
                IntArray DofIDStemp, rloc, cloc;

                thisElement->giveLocationArray(rloc, r_s, &DofIDStemp);
                thisElement->giveLocationArray(cloc, c_s, &DofIDStemp);

                r_Sideloc.clear();
                c_Sideloc.clear();
                for (int j=1; j<=DofIDStemp.giveSize(); j++) {
                    if (DofIDStemp.at(j)==dofids.at(1)) {
                        r_Sideloc.followedBy({rloc.at(j)});
                        c_Sideloc.followedBy({cloc.at(j)});
                    }
                }
            }

            // delta p part:
            temp = N*detJ*gp->giveWeight()*(1.0/domainSize);
            tempT.beTranspositionOf(temp);

            answer.assemble(r_Sideloc, c_loc, temp);
            answer.assemble(r_loc, c_Sideloc, tempT);
        }

        delete iRule;

    }

}

void
PrescribedMean :: giveInternalForcesVector(FloatArray &answer, TimeStep *tStep,
        CharType type, ValueModeType mode,
        const UnknownNumberingScheme &s, FloatArray *eNorm)
{
    computeDomainSize();

    // Fetch unknowns of this boundary condition
    IntArray lambdaLoc;
    FloatArray lambda;
    lambdaDman->giveUnknownVector(lambda, lambdaIDs, mode, tStep);
    lambdaDman->giveLocationArray(lambdaIDs, lambdaLoc, s);

    for ( int i=1; i<=elements.giveSize(); i++ ) {
        int elementID = elements.at(i);
        Element *thisElement = this->giveDomain()->giveElement(elementID);
        FEInterpolation *interpolator = thisElement->giveInterpolation(DofIDItem(dofid));

        IntegrationRule *iRule = (elementEdges) ? (interpolator->giveBoundaryIntegrationRule(3, sides.at(i))) :
                                 (interpolator->giveIntegrationRule(3));

        for ( GaussPoint * gp: * iRule ) {
            FloatArray lcoords = gp->giveNaturalCoordinates();
            FloatArray a, N, pressureEqns, lambdaEqns;
            IntArray boundaryNodes, dofids= {(DofIDItem) this->dofid}, locationArray;
            double detJ=0.0;

            if (elementEdges) {
                // Compute integral
                interpolator->boundaryGiveNodes( boundaryNodes, sides.at(i) );
                thisElement->computeBoundaryVectorOf(boundaryNodes, dofids, VM_Total, tStep, a);
                interpolator->boundaryEvalN(N, sides.at(i), lcoords, FEIElementGeometryWrapper(thisElement));
                detJ = fabs ( interpolator->boundaryGiveTransformationJacobian(sides.at(i), lcoords, FEIElementGeometryWrapper(thisElement)) );

                // Retrieve locations for dofs with dofids
                thisElement->giveBoundaryLocationArray(locationArray, boundaryNodes, dofids, s);
            } else {
                thisElement->computeVectorOf(dofids, VM_Total, tStep, a);
                interpolator->evalN(N, lcoords, FEIElementGeometryWrapper(thisElement));
                detJ = fabs ( interpolator->giveTransformationJacobian(lcoords, FEIElementGeometryWrapper(thisElement)));

                IntArray DofIDStemp, loc;

                thisElement->giveLocationArray(loc, s, &DofIDStemp);

                locationArray.clear();
                for (int j=1; j<=DofIDStemp.giveSize(); j++) {
                    if (DofIDStemp.at(j)==dofids.at(1)) {
                        locationArray.followedBy({loc.at(j)});
                    }
                }
            }

            // delta p part:
            pressureEqns = N*detJ*gp->giveWeight()*lambda.at(1)*(1.0/domainSize);

            // delta lambda part
            lambdaEqns.resize(1);
            lambdaEqns.at(1) = N.dotProduct(a);
            lambdaEqns.times(detJ*gp->giveWeight()*1.0/domainSize);
            lambdaEqns.at(1) = lambdaEqns.at(1);


            // delta p part
            answer.assemble(pressureEqns, locationArray);

            // delta lambda part
            answer.assemble(lambdaEqns, lambdaLoc);
        }
        delete iRule;
    }

}