Chaste Commit::baa90ac2819b962188b7562f2326be23c47859a7
StokesFlowAssembler.hpp
1/*
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34*/
35
36#ifndef STOKESFLOWASSEMBLER_HPP_
37#define STOKESFLOWASSEMBLER_HPP_
38
39#include "AbstractContinuumMechanicsAssembler.hpp"
40#include "StokesFlowProblemDefinition.hpp"
41
42
61template<unsigned DIM>
63{
64friend class TestStokesFlowAssembler;
65
66private:
68 static const unsigned NUM_VERTICES_PER_ELEMENT = DIM+1;
69
71 static const unsigned NUM_NODES_PER_ELEMENT = (DIM+1)*(DIM+2)/2; // assuming quadratic
72
78
84
87
96
97
113 c_matrix<double,SPATIAL_BLOCK_SIZE_ELEMENTAL,SPATIAL_BLOCK_SIZE_ELEMENTAL> ComputeSpatialSpatialMatrixTerm(
114 c_vector<double, NUM_NODES_PER_ELEMENT>& rQuadPhi,
115 c_matrix<double, DIM, NUM_NODES_PER_ELEMENT>& rGradQuadPhi,
116 c_vector<double,DIM>& rX,
117 Element<DIM,DIM>* pElement)
118 {
119 c_matrix<double,SPATIAL_BLOCK_SIZE_ELEMENTAL,SPATIAL_BLOCK_SIZE_ELEMENTAL> ret = zero_matrix<double>(SPATIAL_BLOCK_SIZE_ELEMENTAL,SPATIAL_BLOCK_SIZE_ELEMENTAL);
120
121 double mu = mpProblemDefinition->GetViscosity();
122
123 for (unsigned index1=0; index1<NUM_NODES_PER_ELEMENT*DIM; index1++)
124 {
125 unsigned spatial_dim1 = index1%DIM;
126 unsigned node_index1 = (index1-spatial_dim1)/DIM;
127
128 for (unsigned index2=0; index2<NUM_NODES_PER_ELEMENT*DIM; index2++)
129 {
130 unsigned spatial_dim2 = index2%DIM;
131 unsigned node_index2 = (index2-spatial_dim2)/DIM;
132
133 ret(index1,index2) += mu
134 * mScaleFactor // virtually always 1, see doxygen for this variable
135 * rGradQuadPhi(spatial_dim1, node_index2)
136 * rGradQuadPhi(spatial_dim2, node_index1);
137
138 for (unsigned k=0; k<DIM; k++)
139 {
140 ret(index1,index2) += mu
141 * (spatial_dim1==spatial_dim2)
142 * rGradQuadPhi(k, node_index1)
143 * rGradQuadPhi(k, node_index2);
144 }
145 }
146 }
147 return ret;
148
149 }
150
168 c_matrix<double,SPATIAL_BLOCK_SIZE_ELEMENTAL,PRESSURE_BLOCK_SIZE_ELEMENTAL> ComputeSpatialPressureMatrixTerm(
169 c_vector<double, NUM_NODES_PER_ELEMENT>& rQuadPhi,
170 c_matrix<double, DIM, NUM_NODES_PER_ELEMENT>& rGradQuadPhi,
171 c_vector<double, NUM_VERTICES_PER_ELEMENT>& rLinearPhi,
172 c_matrix<double, DIM, NUM_VERTICES_PER_ELEMENT>& rGradLinearPhi,
173 c_vector<double,DIM>& rX,
174 Element<DIM,DIM>* pElement)
175 {
176 c_matrix<double,SPATIAL_BLOCK_SIZE_ELEMENTAL,PRESSURE_BLOCK_SIZE_ELEMENTAL> ret = zero_matrix<double>(SPATIAL_BLOCK_SIZE_ELEMENTAL,PRESSURE_BLOCK_SIZE_ELEMENTAL);
177
178 for (unsigned index1=0; index1<NUM_NODES_PER_ELEMENT*DIM; index1++)
179 {
180 unsigned spatial_dim1 = index1%DIM;
181 unsigned node_index1 = (index1-spatial_dim1)/DIM;
182
183 for (unsigned index2=0; index2<NUM_VERTICES_PER_ELEMENT; index2++)
184 {
185 ret(index1,index2) += -rGradQuadPhi(spatial_dim1, node_index1) * rLinearPhi(index2);
186 }
187 }
188
189 return ret;
190 }
191
192 // We don't implement this method - so it is a zero block
193 //c_matrix<double,PRESSURE_BLOCK_SIZE_ELEMENTAL,PRESSURE_BLOCK_SIZE_ELEMENTAL> ComputePressurePressureMatrixTerm(
194 // c_vector<double, NUM_VERTICES_PER_ELEMENT>& rLinearPhi,
195 // c_matrix<double, DIM, NUM_VERTICES_PER_ELEMENT>& rGradLinearPhi,
196 // c_vector<double,DIM>& rX,
197 // Element<DIM,DIM>* pElement)
198
199
217 c_vector<double,SPATIAL_BLOCK_SIZE_ELEMENTAL> ComputeSpatialVectorTerm(
218 c_vector<double, NUM_NODES_PER_ELEMENT>& rQuadPhi,
219 c_matrix<double, DIM, NUM_NODES_PER_ELEMENT>& rGradQuadPhi,
220 c_vector<double,DIM>& rX,
221 Element<DIM,DIM>* pElement)
222 {
223 c_vector<double,SPATIAL_BLOCK_SIZE_ELEMENTAL> ret = zero_vector<double>(SPATIAL_BLOCK_SIZE_ELEMENTAL);
224
225 c_vector<double,DIM> body_force = mpProblemDefinition->GetBodyForce(rX, 0.0);
226
227 for (unsigned index=0; index<NUM_NODES_PER_ELEMENT*DIM; index++)
228 {
229 unsigned spatial_dim = index%DIM;
230 unsigned node_index = (index-spatial_dim)/DIM;
231
232 ret(index) += body_force(spatial_dim) * rQuadPhi(node_index);
233 }
234
235 return ret;
236 }
237
238 // We don't implement this method - so it is a zero block of the vector:
239 //c_vector<double,PRESSURE_BLOCK_SIZE_ELEMENTAL> ComputePressureVectorTerm(
240 // c_vector<double, NUM_VERTICES_PER_ELEMENT>& rLinearPhi,
241 // c_matrix<double, DIM, NUM_VERTICES_PER_ELEMENT>& rGradLinearPhi,
242 // c_vector<double,DIM>& rX,
243 // Element<DIM,DIM>* pElement)
244
245public:
252 StokesFlowProblemDefinition<DIM>* pProblemDefinition)
253 : AbstractContinuumMechanicsAssembler<DIM,true,true>(pMesh),
254 mpProblemDefinition(pProblemDefinition),
255 mScaleFactor(1.0)
256 {
257 }
258};
259
260#endif // STOKESFLOWASSEMBLER_HPP_
c_matrix< double, SPATIAL_BLOCK_SIZE_ELEMENTAL, PRESSURE_BLOCK_SIZE_ELEMENTAL > ComputeSpatialPressureMatrixTerm(c_vector< double, NUM_NODES_PER_ELEMENT > &rQuadPhi, c_matrix< double, DIM, NUM_NODES_PER_ELEMENT > &rGradQuadPhi, c_vector< double, NUM_VERTICES_PER_ELEMENT > &rLinearPhi, c_matrix< double, DIM, NUM_VERTICES_PER_ELEMENT > &rGradLinearPhi, c_vector< double, DIM > &rX, Element< DIM, DIM > *pElement)
static const unsigned NUM_NODES_PER_ELEMENT
c_matrix< double, SPATIAL_BLOCK_SIZE_ELEMENTAL, SPATIAL_BLOCK_SIZE_ELEMENTAL > ComputeSpatialSpatialMatrixTerm(c_vector< double, NUM_NODES_PER_ELEMENT > &rQuadPhi, c_matrix< double, DIM, NUM_NODES_PER_ELEMENT > &rGradQuadPhi, c_vector< double, DIM > &rX, Element< DIM, DIM > *pElement)
static const unsigned SPATIAL_BLOCK_SIZE_ELEMENTAL
StokesFlowProblemDefinition< DIM > * mpProblemDefinition
c_vector< double, SPATIAL_BLOCK_SIZE_ELEMENTAL > ComputeSpatialVectorTerm(c_vector< double, NUM_NODES_PER_ELEMENT > &rQuadPhi, c_matrix< double, DIM, NUM_NODES_PER_ELEMENT > &rGradQuadPhi, c_vector< double, DIM > &rX, Element< DIM, DIM > *pElement)
StokesFlowAssembler(AbstractTetrahedralMesh< DIM, DIM > *pMesh, StokesFlowProblemDefinition< DIM > *pProblemDefinition)
static const unsigned NUM_VERTICES_PER_ELEMENT
static const unsigned PRESSURE_BLOCK_SIZE_ELEMENTAL