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1 | // Copyright Contributors to the OpenVDB Project | ||
2 | // SPDX-License-Identifier: MPL-2.0 | ||
3 | |||
4 | /// @file unittest/TestPotentialFlow.cc | ||
5 | |||
6 | #include <openvdb/openvdb.h> | ||
7 | #include <openvdb/tools/LevelSetSphere.h> | ||
8 | #include <openvdb/tools/PotentialFlow.h> | ||
9 | |||
10 | #include <gtest/gtest.h> | ||
11 | |||
12 | |||
13 | 4 | class TestPotentialFlow: public ::testing::Test | |
14 | { | ||
15 | }; | ||
16 | |||
17 | |||
18 |
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2 | TEST_F(TestPotentialFlow, testMask) |
19 | { | ||
20 | using namespace openvdb; | ||
21 | |||
22 | const float radius = 1.5f; | ||
23 | const Vec3f center(0.0f, 0.0f, 0.0f); | ||
24 | const float voxelSize = 0.25f; | ||
25 | const float halfWidth = 3.0f; | ||
26 | |||
27 | FloatGrid::Ptr sphere = | ||
28 | 1 | tools::createLevelSetSphere<FloatGrid>(radius, center, voxelSize, halfWidth); | |
29 | |||
30 | const int dilation = 5; | ||
31 | |||
32 |
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1 | MaskGrid::Ptr mask = tools::createPotentialFlowMask(*sphere, dilation); |
33 |
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1 | MaskGrid::Ptr defaultMask = tools::createPotentialFlowMask(*sphere); |
34 |
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1 | EXPECT_TRUE(*mask == *defaultMask); |
35 | |||
36 | auto acc = mask->getAccessor(); | ||
37 | |||
38 | // the isosurface of this sphere is at y = 6 | ||
39 | // this mask forms a band dilated outwards from the isosurface by 5 voxels | ||
40 | |||
41 |
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1 | EXPECT_TRUE(!acc.isValueOn(Coord(0, 5, 0))); |
42 |
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1 | EXPECT_TRUE(acc.isValueOn(Coord(0, 6, 0))); |
43 |
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1 | EXPECT_TRUE(acc.isValueOn(Coord(0, 10, 0))); |
44 |
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1 | EXPECT_TRUE(!acc.isValueOn(Coord(0, 11, 0))); |
45 | |||
46 | { // error on non-uniform voxel size | ||
47 | FloatGrid::Ptr nonUniformSphere = | ||
48 |
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1 | tools::createLevelSetSphere<FloatGrid>(radius, center, voxelSize, halfWidth); |
49 | math::Transform::Ptr nonUniformTransform(new math::Transform( | ||
50 |
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3 | math::MapBase::Ptr(new math::ScaleMap(Vec3d(0.1, 0.2, 0.3))))); |
51 |
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2 | nonUniformSphere->setTransform(nonUniformTransform); |
52 | |||
53 |
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2 | EXPECT_THROW(tools::createPotentialFlowMask(*nonUniformSphere, dilation), |
54 | openvdb::ValueError); | ||
55 | } | ||
56 | |||
57 | // this is the minimum mask of one voxel either side of the isosurface | ||
58 | |||
59 |
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2 | mask = tools::createPotentialFlowMask(*sphere, 2); |
60 | |||
61 |
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1 | acc = mask->getAccessor(); |
62 | |||
63 |
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1 | EXPECT_TRUE(!acc.isValueOn(Coord(0, 5, 0))); |
64 |
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1 | EXPECT_TRUE(acc.isValueOn(Coord(0, 6, 0))); |
65 |
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1 | EXPECT_TRUE(acc.isValueOn(Coord(0, 7, 0))); |
66 |
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1 | EXPECT_TRUE(!acc.isValueOn(Coord(0, 8, 0))); |
67 | |||
68 | // these should all produce the same masks as the dilation value is clamped | ||
69 | |||
70 |
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1 | MaskGrid::Ptr negativeMask = tools::createPotentialFlowMask(*sphere, -1); |
71 |
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1 | MaskGrid::Ptr zeroMask = tools::createPotentialFlowMask(*sphere, 0); |
72 |
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1 | MaskGrid::Ptr oneMask = tools::createPotentialFlowMask(*sphere, 1); |
73 | |||
74 |
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1 | EXPECT_TRUE(*negativeMask == *mask); |
75 |
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1 | EXPECT_TRUE(*zeroMask == *mask); |
76 |
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1 | EXPECT_TRUE(*oneMask == *mask); |
77 | 1 | } | |
78 | |||
79 | |||
80 |
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2 | TEST_F(TestPotentialFlow, testNeumannVelocities) |
81 | { | ||
82 | using namespace openvdb; | ||
83 | |||
84 | const float radius = 1.5f; | ||
85 | const Vec3f center(0.0f, 0.0f, 0.0f); | ||
86 | const float voxelSize = 0.25f; | ||
87 | const float halfWidth = 3.0f; | ||
88 | |||
89 | FloatGrid::Ptr sphere = | ||
90 | 1 | tools::createLevelSetSphere<FloatGrid>(radius, center, voxelSize, halfWidth); | |
91 | |||
92 |
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1 | MaskGrid::Ptr domain = tools::createPotentialFlowMask(*sphere); |
93 | |||
94 | { | ||
95 | // test identical potential from a wind velocity supplied through grid or background value | ||
96 | |||
97 | Vec3d windVelocityValue(0, 0, 10); | ||
98 | |||
99 |
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2 | Vec3dTree::Ptr windTree(new Vec3dTree(sphere->tree(), zeroVal<Vec3d>(), TopologyCopy())); |
100 |
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1 | dilateActiveValues(*windTree, 2, tools::NN_FACE_EDGE_VERTEX, tools::IGNORE_TILES); |
101 | windTree->voxelizeActiveTiles(); | ||
102 | |||
103 |
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39 | for (auto leaf = windTree->beginLeaf(); leaf; ++leaf) { |
104 |
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6875 | for (auto iter = leaf->beginValueOn(); iter; ++iter) { |
105 |
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6837 | iter.setValue(windVelocityValue); |
106 | } | ||
107 | } | ||
108 | |||
109 |
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2 | Vec3dGrid::Ptr windGrid(Vec3dGrid::create(windTree)); |
110 |
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2 | windGrid->setTransform(sphere->transform().copy()); |
111 | |||
112 | auto windPotentialFromGrid = tools::createPotentialFlowNeumannVelocities( | ||
113 |
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2 | *sphere, *domain, windGrid, Vec3d(0)); |
114 | |||
115 |
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1 | EXPECT_EQ(windPotentialFromGrid->transform(), sphere->transform()); |
116 | |||
117 | auto windPotentialFromBackground = tools::createPotentialFlowNeumannVelocities( | ||
118 |
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2 | *sphere, *domain, Vec3dGrid::Ptr(), windVelocityValue); |
119 | |||
120 | auto accessor = windPotentialFromGrid->getConstAccessor(); | ||
121 | auto accessor2 = windPotentialFromBackground->getConstAccessor(); | ||
122 | |||
123 |
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1 | EXPECT_EQ(windPotentialFromGrid->activeVoxelCount(), |
124 | windPotentialFromBackground->activeVoxelCount()); | ||
125 | |||
126 |
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21 | for (auto leaf = windPotentialFromGrid->tree().cbeginLeaf(); leaf; ++leaf) { |
127 |
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2094 | for (auto iter = leaf->cbeginValueOn(); iter; ++iter) { |
128 |
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2074 | EXPECT_EQ(accessor.isValueOn(iter.getCoord()), |
129 | accessor2.isValueOn(iter.getCoord())); | ||
130 |
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4148 | EXPECT_EQ(accessor.getValue(iter.getCoord()), |
131 | accessor2.getValue(iter.getCoord())); | ||
132 | } | ||
133 | } | ||
134 | |||
135 | // test potential from a wind velocity supplied through grid background value | ||
136 | |||
137 | Vec3dTree::Ptr emptyWindTree( | ||
138 |
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2 | new Vec3dTree(sphere->tree(), windVelocityValue, TopologyCopy())); |
139 |
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2 | Vec3dGrid::Ptr emptyWindGrid(Vec3dGrid::create(emptyWindTree)); |
140 |
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2 | emptyWindGrid->setTransform(sphere->transform().copy()); |
141 | |||
142 | auto windPotentialFromGridBackground = tools::createPotentialFlowNeumannVelocities( | ||
143 |
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2 | *sphere, *domain, emptyWindGrid, Vec3d(0)); |
144 | |||
145 |
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1 | EXPECT_EQ(windPotentialFromGridBackground->transform(), sphere->transform()); |
146 | |||
147 |
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1 | accessor = windPotentialFromGridBackground->getConstAccessor(); |
148 |
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1 | accessor2 = windPotentialFromBackground->getConstAccessor(); |
149 | |||
150 |
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1 | EXPECT_EQ(windPotentialFromGridBackground->activeVoxelCount(), |
151 | windPotentialFromBackground->activeVoxelCount()); | ||
152 | |||
153 |
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21 | for (auto leaf = windPotentialFromGridBackground->tree().cbeginLeaf(); leaf; ++leaf) { |
154 |
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2094 | for (auto iter = leaf->cbeginValueOn(); iter; ++iter) { |
155 |
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2074 | EXPECT_EQ(accessor.isValueOn(iter.getCoord()), |
156 | accessor2.isValueOn(iter.getCoord())); | ||
157 |
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4148 | EXPECT_EQ(accessor.getValue(iter.getCoord()), |
158 | accessor2.getValue(iter.getCoord())); | ||
159 | } | ||
160 | } | ||
161 | |||
162 | // test potential values are double when applying wind velocity | ||
163 | // through grid and background values | ||
164 | |||
165 | auto windPotentialFromBoth = tools::createPotentialFlowNeumannVelocities( | ||
166 |
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2 | *sphere, *domain, windGrid, windVelocityValue); |
167 | |||
168 |
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1 | tools::prune(windPotentialFromBoth->tree(), Vec3d(1e-3)); |
169 |
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1 | tools::prune(windPotentialFromBackground->tree(), Vec3d(1e-3)); |
170 | |||
171 |
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1 | accessor = windPotentialFromBoth->getConstAccessor(); |
172 |
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1 | accessor2 = windPotentialFromBackground->getConstAccessor(); |
173 | |||
174 |
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21 | for (auto leaf = windPotentialFromBoth->tree().cbeginLeaf(); leaf; ++leaf) { |
175 |
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2094 | for (auto iter = leaf->cbeginValueOn(); iter; ++iter) { |
176 |
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2074 | EXPECT_EQ(accessor.isValueOn(iter.getCoord()), |
177 | accessor2.isValueOn(iter.getCoord())); | ||
178 |
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4148 | EXPECT_EQ(accessor.getValue(iter.getCoord()), |
179 | accessor2.getValue(iter.getCoord()) * 2); | ||
180 | } | ||
181 | } | ||
182 | |||
183 |
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1 | EXPECT_TRUE(*windPotentialFromBoth == *windPotentialFromBackground); |
184 | } | ||
185 | |||
186 |
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1 | Vec3dGrid::Ptr zeroVelocity = Vec3dGrid::create(Vec3d(0)); |
187 | |||
188 | { // error if grid is not a levelset | ||
189 | FloatGrid::Ptr nonLevelSetSphere = | ||
190 |
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1 | tools::createLevelSetSphere<FloatGrid>(radius, center, voxelSize, halfWidth); |
191 |
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1 | nonLevelSetSphere->setGridClass(GRID_FOG_VOLUME); |
192 | |||
193 |
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3 | EXPECT_THROW(tools::createPotentialFlowNeumannVelocities( |
194 | *nonLevelSetSphere, *domain, zeroVelocity, Vec3d(5)), openvdb::TypeError); | ||
195 | } | ||
196 | |||
197 | { // accept double level set grid | ||
198 | DoubleGrid::Ptr doubleSphere = | ||
199 |
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1 | tools::createLevelSetSphere<DoubleGrid>(radius, center, voxelSize, halfWidth); |
200 | |||
201 |
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4 | EXPECT_NO_THROW(tools::createPotentialFlowNeumannVelocities( |
202 | *doubleSphere, *domain, zeroVelocity, Vec3d(5))); | ||
203 | } | ||
204 | |||
205 | { // zero boundary velocities and background velocity | ||
206 | Vec3d zeroVelocityValue(zeroVal<Vec3d>()); | ||
207 | auto neumannVelocities = tools::createPotentialFlowNeumannVelocities( | ||
208 |
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1 | *sphere, *domain, zeroVelocity, zeroVelocityValue); |
209 |
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1 | EXPECT_EQ(neumannVelocities->activeVoxelCount(), Index64(0)); |
210 | } | ||
211 | 1 | } | |
212 | |||
213 | |||
214 |
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1 | TEST_F(TestPotentialFlow, testUniformStream) |
215 | { | ||
216 | // this unit test checks the scalar potential and velocity flow field | ||
217 | // for a uniform stream which consists of a 100x100x100 cube of | ||
218 | // neumann voxels with constant velocity (0, 0, 1) | ||
219 | |||
220 | using namespace openvdb; | ||
221 | |||
222 | 1 | auto transform = math::Transform::createLinearTransform(1.0); | |
223 | |||
224 |
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1 | auto mask = MaskGrid::create(false); |
225 |
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2 | mask->setTransform(transform); |
226 | auto maskAccessor = mask->getAccessor(); | ||
227 | |||
228 |
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1 | auto neumann = Vec3dGrid::create(Vec3d(0)); |
229 | auto neumannAccessor = neumann->getAccessor(); | ||
230 | |||
231 |
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101 | for (int i = -50; i < 50; i++) { |
232 |
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10100 | for (int j = -50; j < 50; j++) { |
233 |
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1010000 | for (int k = -50; k < 50; k++) { |
234 | Coord ijk(i, j, k); | ||
235 |
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1000000 | maskAccessor.setValueOn(ijk, true); |
236 |
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1000000 | neumannAccessor.setValueOn(ijk, Vec3d(0, 0, 1)); |
237 | } | ||
238 | } | ||
239 | } | ||
240 | |||
241 | openvdb::math::pcg::State state = math::pcg::terminationDefaults<float>(); | ||
242 | |||
243 | 1 | state.iterations = 2000; | |
244 |
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1 | state.absoluteError = 1e-8; |
245 | |||
246 |
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1 | auto potential = tools::computeScalarPotential(*mask, *neumann, state); |
247 | |||
248 | // check convergence | ||
249 | |||
250 |
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1 | EXPECT_TRUE(state.success); |
251 |
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1 | EXPECT_TRUE(state.iterations > 0 && state.iterations < 1000); |
252 |
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1 | EXPECT_TRUE(state.absoluteError < 1e-6); |
253 | |||
254 |
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1 | EXPECT_EQ(potential->activeVoxelCount(), mask->activeVoxelCount()); |
255 | |||
256 | // for uniform flow along the z-axis, the scalar potential should be equal to the z co-ordinate | ||
257 | |||
258 |
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2745 | for (auto leaf = potential->tree().cbeginLeaf(); leaf; ++leaf) { |
259 |
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1002744 | for (auto iter = leaf->cbeginValueOn(); iter; ++iter) { |
260 |
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1000000 | const double staggeredZ = iter.getCoord().z() + 0.5; |
261 |
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1000000 | EXPECT_TRUE(math::isApproxEqual(iter.getValue(), staggeredZ, /*tolerance*/0.1)); |
262 | } | ||
263 | } | ||
264 | |||
265 |
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1 | auto flow = tools::computePotentialFlow(*potential, *neumann); |
266 | |||
267 |
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1 | EXPECT_EQ(flow->activeVoxelCount(), mask->activeVoxelCount()); |
268 | |||
269 | // flow velocity should be equal to the input velocity (0, 0, 1) | ||
270 | |||
271 |
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2745 | for (auto leaf = flow->tree().cbeginLeaf(); leaf; ++leaf) { |
272 |
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1002744 | for (auto iter = leaf->cbeginValueOn(); iter; ++iter) { |
273 |
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1000000 | EXPECT_TRUE(math::isApproxEqual(iter.getValue().x(), 0.0, /*tolerance*/1e-6)); |
274 |
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1000000 | EXPECT_TRUE(math::isApproxEqual(iter.getValue().y(), 0.0, /*tolerance*/1e-6)); |
275 |
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1000000 | EXPECT_TRUE(math::isApproxEqual(iter.getValue().z(), 1.0, /*tolerance*/1e-6)); |
276 | } | ||
277 | } | ||
278 | 1 | } | |
279 | |||
280 | |||
281 |
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2 | TEST_F(TestPotentialFlow, testFlowAroundSphere) |
282 | { | ||
283 | using namespace openvdb; | ||
284 | |||
285 | const float radius = 1.5f; | ||
286 | const Vec3f center(0.0f, 0.0f, 0.0f); | ||
287 | const float voxelSize = 0.25f; | ||
288 | const float halfWidth = 3.0f; | ||
289 | |||
290 | const int dilation = 50; | ||
291 | |||
292 | FloatGrid::Ptr sphere = | ||
293 | 1 | tools::createLevelSetSphere<FloatGrid>(radius, center, voxelSize, halfWidth); | |
294 | |||
295 |
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1 | MaskGrid::Ptr domain = tools::createPotentialFlowMask(*sphere, dilation); |
296 | |||
297 | { // compute potential flow for a global wind velocity around a sphere | ||
298 | |||
299 | Vec3f windVelocity(0, 0, 1); | ||
300 | Vec3fGrid::Ptr neumann = tools::createPotentialFlowNeumannVelocities(*sphere, | ||
301 |
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2 | *domain, Vec3fGrid::Ptr(), windVelocity); |
302 | |||
303 | openvdb::math::pcg::State state = math::pcg::terminationDefaults<float>(); | ||
304 | |||
305 | 1 | state.iterations = 2000; | |
306 |
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1 | state.absoluteError = 1e-8; |
307 | |||
308 |
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1 | FloatGrid::Ptr potential = tools::computeScalarPotential(*domain, *neumann, state); |
309 | |||
310 | // compute a laplacian of the potential within the domain (excluding neumann voxels) | ||
311 | // and ensure it evaluates to zero | ||
312 | |||
313 |
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1 | auto mask = BoolGrid::create(/*background=*/false); |
314 |
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2 | mask->setTransform(potential->transform().copy()); |
315 | mask->topologyUnion(*potential); | ||
316 | |||
317 |
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1 | auto dilatedSphereMask = tools::interiorMask(*sphere); |
318 |
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1 | tools::dilateActiveValues(dilatedSphereMask->tree(), 1); |
319 | mask->topologyDifference(*dilatedSphereMask); | ||
320 | |||
321 |
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1 | FloatGrid::Ptr laplacian = tools::laplacian(*potential, *mask); |
322 | |||
323 |
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2465 | for (auto leaf = laplacian->tree().cbeginLeaf(); leaf; ++leaf) { |
324 |
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1133350 | for (auto iter = leaf->cbeginValueOn(); iter; ++iter) { |
325 |
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1130886 | EXPECT_TRUE(math::isApproxEqual(iter.getValue(), 0.0f, /*tolerance*/1e-3f)); |
326 | } | ||
327 | } | ||
328 | |||
329 |
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1 | Vec3fGrid::Ptr flowVel = tools::computePotentialFlow(*potential, *neumann); |
330 | |||
331 | // compute the divergence of the flow velocity within the domain | ||
332 | // (excluding neumann voxels and exterior voxels) | ||
333 | // and ensure it evaluates to zero | ||
334 | |||
335 |
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1 | tools::erodeActiveValues(mask->tree(), 2, tools::NN_FACE, tools::IGNORE_TILES); |
336 | |||
337 |
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1 | FloatGrid::Ptr divergence = tools::divergence(*flowVel, *mask); |
338 | |||
339 |
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2465 | for (auto leaf = divergence->tree().cbeginLeaf(); leaf; ++leaf) { |
340 |
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1036454 | for (auto iter = leaf->cbeginValueOn(); iter; ++iter) { |
341 |
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1033990 | EXPECT_TRUE(math::isApproxEqual(iter.getValue(), 0.0f, /*tolerance*/0.1f)); |
342 | } | ||
343 | } | ||
344 | |||
345 | // check the background velocity has been applied correctly | ||
346 | |||
347 | Vec3fGrid::Ptr flowVelBackground = | ||
348 |
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1 | tools::computePotentialFlow(*potential, *neumann, windVelocity); |
349 | |||
350 |
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1 | EXPECT_EQ(flowVelBackground->activeVoxelCount(), |
351 | flowVelBackground->activeVoxelCount()); | ||
352 | |||
353 | auto maskAccessor = mask->getConstAccessor(); | ||
354 | |||
355 | auto accessor = flowVel->getConstAccessor(); | ||
356 | auto accessor2 = flowVelBackground->getConstAccessor(); | ||
357 | |||
358 |
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2465 | for (auto leaf = flowVelBackground->tree().cbeginLeaf(); leaf; ++leaf) { |
359 |
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1133764 | for (auto iter = leaf->cbeginValueOn(); iter; ++iter) { |
360 | // ignore values near the neumann boundary | ||
361 |
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1131300 | if (!maskAccessor.isValueOn(iter.getCoord())) continue; |
362 | |||
363 |
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1033990 | const Vec3f value1 = accessor.getValue(iter.getCoord()); |
364 |
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1033990 | const Vec3f value2 = accessor2.getValue(iter.getCoord()) + windVelocity; |
365 | |||
366 |
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1033990 | EXPECT_TRUE(math::isApproxEqual(value1.x(), value2.x(), /*tolerance=*/1e-3f)); |
367 |
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1033990 | EXPECT_TRUE(math::isApproxEqual(value1.y(), value2.y(), /*tolerance=*/1e-3f)); |
368 |
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1033990 | EXPECT_TRUE(math::isApproxEqual(value1.z(), value2.z(), /*tolerance=*/1e-3f)); |
369 | } | ||
370 | } | ||
371 | } | ||
372 | |||
373 | { // check double-precision solve | ||
374 | DoubleGrid::Ptr sphereDouble = | ||
375 |
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1 | tools::createLevelSetSphere<DoubleGrid>(radius, center, voxelSize, halfWidth); |
376 | |||
377 | Vec3d windVelocity(0, 0, 1); | ||
378 | Vec3dGrid::Ptr neumann = tools::createPotentialFlowNeumannVelocities(*sphereDouble, | ||
379 |
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2 | *domain, Vec3dGrid::Ptr(), windVelocity); |
380 | |||
381 | openvdb::math::pcg::State state = math::pcg::terminationDefaults<float>(); | ||
382 | |||
383 | 1 | state.iterations = 2000; | |
384 |
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1 | state.absoluteError = 1e-8; |
385 | |||
386 |
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1 | DoubleGrid::Ptr potential = tools::computeScalarPotential(*domain, *neumann, state); |
387 | |||
388 |
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1 | EXPECT_TRUE(potential); |
389 | |||
390 | // compute a laplacian of the potential within the domain (excluding neumann voxels) | ||
391 | // and ensure it evaluates to zero | ||
392 | |||
393 |
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1 | auto mask = BoolGrid::create(/*background=*/false); |
394 |
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2 | mask->setTransform(potential->transform().copy()); |
395 | mask->topologyUnion(*potential); | ||
396 | |||
397 |
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1 | auto dilatedSphereMask = tools::interiorMask(*sphereDouble); |
398 |
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1 | tools::dilateActiveValues(dilatedSphereMask->tree(), 1); |
399 | mask->topologyDifference(*dilatedSphereMask); | ||
400 | |||
401 |
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1 | DoubleGrid::Ptr laplacian = tools::laplacian(*potential, *mask); |
402 | |||
403 |
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2465 | for (auto leaf = laplacian->tree().cbeginLeaf(); leaf; ++leaf) { |
404 |
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1133350 | for (auto iter = leaf->cbeginValueOn(); iter; ++iter) { |
405 |
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1130886 | EXPECT_TRUE(math::isApproxEqual(iter.getValue(), 0.0, /*tolerance*/1e-5)); |
406 | } | ||
407 | } | ||
408 | |||
409 |
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1 | Vec3dGrid::Ptr flowVel = tools::computePotentialFlow(*potential, *neumann); |
410 | |||
411 |
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1 | EXPECT_TRUE(flowVel); |
412 | } | ||
413 | 1 | } | |
414 |