Chaste Commit::ca8ccdedf819b6e02855bc0e8e6f50bdecbc5208
AxisymmetricConductivityTensors.cpp
1/*
2
3Copyright (c) 2005-2024, University of Oxford.
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15 this list of conditions and the following disclaimer.
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23THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
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33
34*/
35
36#include <vector>
37#include "UblasIncludes.hpp"
38#include "AxisymmetricConductivityTensors.hpp"
39#include "Exception.hpp"
40
41
42template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
44{
45 if (SPACE_DIM != 3)
46 {
47 EXCEPTION("Axisymmetric anisotropic conductivity only makes sense in 3D");
48 }
49}
50
51template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
53{
54 //assert(SPACE_DIM == 3);//Otherwise constructor would have thrown
55 if (constantConductivities[1] != constantConductivities[2])
56 {
57 EXCEPTION("Axisymmetric media defined: transversal and normal conductivities should have the same value");
58 }
59
60 this->mUseNonConstantConductivities = false;
61 this->mConstantConductivities = constantConductivities;
62}
63
64template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
66{
67 if (SPACE_DIM != 3)
68 {
69 EXCEPTION("Axisymmetric anisotropic conductivity only makes sense in 3D"); // LCOV_EXCL_LINE
70 }
71 this->mpMesh = pMesh;
72
73 if (!this->mUseNonConstantConductivities && !this->mUseFibreOrientation)
74 {
75 // Constant tensor for every element
76 c_matrix<double, SPACE_DIM, SPACE_DIM> conductivity_matrix(zero_matrix<double>(SPACE_DIM,SPACE_DIM));
77
78 for (unsigned dim=0; dim<SPACE_DIM; dim++)
79 {
80 assert(this->mConstantConductivities(dim) != DBL_MAX);
81 conductivity_matrix(dim,dim) = this->mConstantConductivities(dim);
82 }
83 this->mTensors.push_back(conductivity_matrix);
84 }
85 else
86 {
87 c_vector<double,SPACE_DIM> fibre_vector((zero_vector<double>(SPACE_DIM)));
88 fibre_vector[0]=1.0;
89
90 if (this->mUseFibreOrientation)
91 {
92 // open file
93 this->mFileReader.reset(new FibreReader<SPACE_DIM>(this->mFibreOrientationFile, AXISYM));
94 if (this->mFileReader->GetNumLinesOfData() != this->mpMesh->GetNumElements())
95 {
96 EXCEPTION("The size of the fibre file does not match the number of elements in the mesh");
97 }
98 }
99
100 if (this->mUseNonConstantConductivities)
101 {
102 if (this->mpNonConstantConductivities->size() != this->mpMesh->GetNumLocalElements())
103 {
104 EXCEPTION("The size of the conductivities vector does not match the number of elements in the mesh");
105 }
106 }
107
108 // reserve() allocates all the memory at once, more efficient than relying
109 // on the automatic reallocation scheme.
110 this->mTensors.reserve(this->mpMesh->GetNumLocalElements());
111
112 c_matrix<double, SPACE_DIM, SPACE_DIM> conductivity_matrix(zero_matrix<double>(SPACE_DIM,SPACE_DIM));
113
114 unsigned local_element_index = 0;
115
116 for (typename AbstractTetrahedralMesh<ELEMENT_DIM,SPACE_DIM>::ElementIterator it = this->mpMesh->GetElementIteratorBegin();
117 it != this->mpMesh->GetElementIteratorEnd();
118 ++it)
119 {
120 /*
121 * For every element of the mesh we compute its tensor like (from
122 * "Laminar Arrangement of VentricularMyocites Influences Electrical
123 * Behavior of the Heart", Darren et al. 2007):
124 *
125 * [g_f 0 0 ] [a_f']
126 * tensor = [a_f a_l a_n] [ 0 g_l 0 ] [a_l']
127 * [ 0 0 g_n] [a_n']
128 *
129 * [x_i]
130 * where a_i = [y_i], i={f,l,n} are read from the fibre orientation file and
131 * [z_i]
132 *
133 * g_f = fibre/longitudinal conductivity (constant or element specific)
134 * g_l = laminar/transverse conductivity (constant or element specific)
135 * g_n = normal conductivity (constant or element specific)
136 *
137 *
138 * For axisymmetric anisotropic media (g_l = g_n) we can simplify previous expression to
139 *
140 *
141 * tensor = g_l * I + (g_f - g_l) * a_f * a_f'
142 *
143 */
144
145 if (this->mUseNonConstantConductivities)
146 {
147 for (unsigned dim=0; dim<SPACE_DIM; dim++)
148 {
149 conductivity_matrix(dim,dim) = (*this->mpNonConstantConductivities)[local_element_index][dim];
150 }
151 }
152 else
153 {
154 for (unsigned dim=0; dim<SPACE_DIM; dim++)
155 {
156 assert(this->mConstantConductivities(dim) != DBL_MAX);
157 conductivity_matrix(dim,dim) = this->mConstantConductivities(dim);
158 }
159 }
160
161 if (this->mUseFibreOrientation)
162 {
163 unsigned current_fibre_global_index = it->GetIndex();
164 this->mFileReader->GetFibreVector(current_fibre_global_index, fibre_vector);
165 }
166
167 this->mTensors.push_back( conductivity_matrix(1,1) * identity_matrix<double>(SPACE_DIM) +
168 (conductivity_matrix(0,0) - conductivity_matrix(1,1)) * outer_prod(fibre_vector,fibre_vector));
169
170 local_element_index++;
171 }
172
173 assert(this->mTensors.size() == this->mpMesh->GetNumLocalElements());
174 assert(this->mTensors.size() == local_element_index);
175
176 if (this->mUseFibreOrientation)
177 {
178 // close fibre file
179 this->mFileReader.reset();
180 }
181 }
182
183 this->mInitialised = true;
184}
185
186// Explicit instantiation
187
188// only makes sense for 3d elements in 3d, but we need the other to compile
189// AbstractCardiacTissue and BidomainTissue.
#define EXCEPTION(message)
void SetConstantConductivities(c_vector< double, 3 > constantConductivities)
void Init(AbstractTetrahedralMesh< ELEMENT_DIM, SPACE_DIM > *pMesh)