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gsVisitorThermo.h
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gsVisitorThermo.h
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/** @file gsVisitorThermo.h
@brief Visitor class for volumetric integration of the thermal stress.
This file is part of the G+Smo library.
This Source Code Form is subject to the terms of the Mozilla Public
License, v. 2.0. If a copy of the MPL was not distributed with this
file, You can obtain one at http://mozilla.org/MPL/2.0/.
Author(s):
D. Fusseder (2012 - 2015, TU Kaiserslautern),
A.Shamanskiy (2016 - ...., TU Kaiserslautern)
*/
#pragma once
#include <gsAssembler/gsQuadrature.h>
#include <gsCore/gsFuncData.h>
namespace gismo
{
template <class T>
class gsVisitorThermo
{
public:
gsVisitorThermo(const gsFunctionSet<T> & temperatureField_)
: temperatureField(temperatureField_) {}
void initialize(const gsBasisRefs<T> & basisRefs,
const index_t patchIndex,
const gsOptionList & options,
gsQuadRule<T> & rule)
{
// parametric dimension of the first displacement component
dim = basisRefs.front().dim();
// a quadrature rule is defined by the basis for the first displacement component.
rule = gsQuadrature::get(basisRefs.front(), options);
// saving necessary info
patch = patchIndex;
paramTemp = options.getSwitch("ParamTemp");
thermalExpCoef = options.getReal("ThExpCoef");
T E = options.getReal("YoungsModulus");
T pr = options.getReal("PoissonsRatio");
lambda = E * pr / ( ( 1. + pr ) * ( 1. - 2. * pr ) );
mu = E / ( 2. * ( 1. + pr ) );
// resize containers for global indices
globalIndices.resize(dim);
blockNumbers.resize(dim);
}
inline void evaluate(const gsBasisRefs<T> & basisRefs,
const gsGeometry<T> & geo,
const gsMatrix<T> & quNodes)
{
// store quadrature points of the element for geometry evaluation
md.points = quNodes;
// NEED_VALUE to get points in the physical domain for evaluation of the temperature gradients
// NEED_MEASURE to get the Jacobian determinant values for integration
// NEED_GRAD_TRANSFORM to get the Jacobian matrix to transform temperature gradient from the parametric to physical domain
if (paramTemp)
md.flags = NEED_MEASURE | NEED_GRAD_TRANSFORM;
else
md.flags = NEED_VALUE | NEED_MEASURE;
// Compute image of the quadrature points plus gradient, jacobian and other necessary data
geo.computeMap(md);
// Compute temperature gradients
if (paramTemp) // evaluate gradients in the parametric domain
temperatureField.piece(patch).deriv_into(quNodes,tempGrads);
else // evaluate gradients in the physical domain
temperatureField.piece(patch).deriv_into(md.values[0],tempGrads);
// find local indices of the displacement basis functions active on the element
basisRefs.front().active_into(quNodes.col(0),localIndicesDisp);
N_D = localIndicesDisp.rows();
// Evaluate displacement basis functions on the element
basisRefs.front().eval_into(quNodes,basisValuesDisp);
}
inline void assemble(gsDomainIterator<T> & element,
const gsVector<T> & quWeights)
{
// Initialize local matrix/rhs
localRhs.setZero(dim*N_D, 1);
// Loop over the quadrature nodes
for (index_t q = 0; q < quWeights.rows(); ++q)
{
// Multiply quadrature weight by the geometry measure
const T weight = thermalExpCoef*(2*mu+dim*lambda)*quWeights[q]*md.measure(q);
if (paramTemp) // transform temperature gradients to the physical domain
{
// temperature gradient at one point in the physical domain, dim x 1
transformGradients(md,q,tempGrads,physGrad);
for (index_t d = 0; d < dim; ++d)
localRhs.middleRows(d*N_D,N_D).noalias() -= weight * physGrad(d,0) * basisValuesDisp.col(q);
}
else // use temperature gradients as they are
for (index_t d = 0; d < dim; ++d)
localRhs.middleRows(d*N_D,N_D).noalias() -= weight * tempGrads(d,q) * basisValuesDisp.col(q);
}
}
inline void localToGlobal(const int patchIndex,
const std::vector<gsMatrix<T> > & eliminatedDofs,
gsSparseSystem<T> & system)
{
// computes global indices for displacement components
for (short_t d = 0; d < dim; ++d)
{
system.mapColIndices(localIndicesDisp, patchIndex, globalIndices[d], d);
blockNumbers.at(d) = d;
}
// push to global system
system.pushToRhs(localRhs,globalIndices,blockNumbers);
}
protected:
// problem info
short_t dim;
// Lame and thermal expansion coefficients
T lambda, mu, thermalExpCoef;
// geometry mapping
gsMapData<T> md;
// local components of the global linear system
gsMatrix<T> localRhs;
// local indices (at the current patch) of the displacement basis functions active at the current element
gsMatrix<index_t> localIndicesDisp;
// number of displacement basis functions active at the current element
index_t N_D;
// values of displacement basis functions at quadrature points at the current element stored as a N_D x numQuadPoints matrix;
gsMatrix<T> basisValuesDisp;
// Temperature info
index_t patch;
const gsFunctionSet<T> & temperatureField;
// true if temperature field is defined in the parametric domain; false if in the physical
bool paramTemp;
// temperature gradient evaluated at the quadrature points or at their images in the physical domain;
// stored as a dim x numQuadPoints matrix
gsMatrix<T> tempGrads;
// all temporary matrices defined here for efficiency
gsMatrix<T> physGrad;
// containers for global indices
std::vector< gsMatrix<index_t> > globalIndices;
gsVector<size_t> blockNumbers;
}; //class definition ends
} // namespace ends