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test(diffusion): Verify symmetry in diffusion simulation
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@ -214,3 +214,47 @@ DIFFUSION_TEST(ConstantInnerCell) {
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EXPECT_FALSE((concentrations_result.array() < 0.0).any());
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}
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DIFFUSION_TEST(Symmetry) {
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// Arrange
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constexpr std::size_t rows = 25;
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constexpr std::size_t cols = 25;
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constexpr std::size_t center_row = rows / 2;
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constexpr std::size_t center_col = cols / 2;
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tug::RowMajMat<double> concentrations =
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tug::RowMajMat<double>::Constant(rows, cols, 1);
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tug::RowMajMat<double> alpha =
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tug::RowMajMat<double>::Constant(rows, cols, 1E-2);
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tug::Diffusion<double, tug::FTCS_APPROACH> sim(concentrations);
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sim.setDomain(100, 100);
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sim.setAlphaX(alpha);
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sim.setAlphaY(alpha);
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// choose a high number of iterations, which lead to small changes in ULP
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// between symmetric cells
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sim.setIterations(10000);
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sim.setTimestep(10);
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tug::Boundary<double> &bcH = sim.getBoundaryConditions();
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bcH.setInnerBoundary(center_row, center_col, 10);
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sim.run();
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// check symmetry
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for (std::size_t i_rows = 0; i_rows <= center_row; i_rows++) {
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for (std::size_t i_cols = 0; i_cols <= center_col; i_cols++) {
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if (i_rows == center_row && i_cols == center_col) {
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continue;
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}
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// to avoid floating point errors, we check with ASSERT_DOUBLE_EQ with a
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// precision of ULP(4), see https://stackoverflow.com/a/4149599
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ASSERT_DOUBLE_EQ(concentrations(i_rows, i_cols),
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concentrations(rows - i_rows - 1, cols - i_cols - 1));
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}
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}
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}
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