From: Timo Heister Date: Sun, 20 Mar 2016 16:12:55 +0000 (+0100) Subject: add push_forward_gradient X-Git-Tag: v8.5.0-rc1~1185^2~1 X-Git-Url: https://gitweb.dealii.org/cgi-bin/gitweb.cgi?a=commitdiff_plain;h=cc7b3eb07f797d4199be04c626d302c027a5ea0a;p=dealii.git add push_forward_gradient --- diff --git a/include/deal.II/grid/manifold_lib.h b/include/deal.II/grid/manifold_lib.h index 6ed4cd3dc6..037b621c88 100644 --- a/include/deal.II/grid/manifold_lib.h +++ b/include/deal.II/grid/manifold_lib.h @@ -349,6 +349,13 @@ public: virtual Point push_forward(const Point &chart_point) const; + /** + * Gradient. + */ + virtual + DerivativeForm<1,chartdim,spacedim> + push_forward_gradient(const Point &chart_point) const; + private: double r, R; }; diff --git a/source/grid/manifold_lib.cc b/source/grid/manifold_lib.cc index c3d37eb0b8..3075431afd 100644 --- a/source/grid/manifold_lib.cc +++ b/source/grid/manifold_lib.cc @@ -373,6 +373,31 @@ TorusManifold::TorusManifold (const double R, const double r) Assert (r>0.0, ExcMessage("inner radius must be positive.")); } +template +DerivativeForm<1,3,3> +TorusManifold::push_forward_gradient(const Point<3> &chart_point) const +{ + DerivativeForm<1,spacedim,spacedim> DX; + + double phi = chart_point(0); + double theta = chart_point(1); + double w = chart_point(2); + + DX[0][0] = -sin(phi)*R - r*w*cos(theta)*sin(phi); + DX[0][1] = -r*w*sin(theta)*cos(phi); + DX[0][2] = r*cos(theta)*cos(phi); + + DX[1][0] = 0; + DX[1][1] = r*w*cos(theta); + DX[1][2] = r*cos(theta); + + DX[2][0] = cos(phi)*R + r*w*cos(theta)*cos(phi); + DX[2][1] = -r*w*sin(theta)*sin(phi); + DX[2][2] = r*cos(theta)*sin(phi); + + return DX; +} + // explicit instantiations diff --git a/tests/grid/torus_01.cc b/tests/grid/torus_01.cc index ec5d20d066..721f592fef 100644 --- a/tests/grid/torus_01.cc +++ b/tests/grid/torus_01.cc @@ -13,7 +13,7 @@ // // --------------------------------------------------------------------- -// test GridTools::torus() and TorusManifold +// test GridTools::torus() and TorusManifold, output visually checked #include "../tests.h" #include @@ -44,16 +44,40 @@ void test<3,3> () triangulation.set_manifold (0, desc_torus); triangulation.set_manifold (1, desc_sphere); - triangulation.refine_global(1); + triangulation.refine_global(0); triangulation.begin_active()->set_refine_flag(); triangulation.execute_coarsening_and_refinement (); + /* std::ofstream out ("grid-1.vtk"); GridOut grid_out; grid_out.write_vtk (triangulation, out); - - + */ + + unsigned int c = 0; + for (Triangulation::active_vertex_iterator v = triangulation.begin_active_vertex(); + v != triangulation.end_vertex(); + ++v, ++c) + { + if (c%3 != 0) + continue; + Point<3> p = v->vertex(0); + Point<3> x(numbers::PI/2.5, numbers::PI/3.5, 1.0); + x = desc_torus.push_forward(x); + Tensor<1,3> t = desc_torus.get_tangent_vector (p, x); + + deallog.get_file_stream() << "set arrow from " << p[0] << ", " << p[1] << ", " << p[2] + << " rto " << t[0] << ", " << t[1] << ", " << t[2] + << std::endl; + } + deallog.get_file_stream() + << "set view equal xyz" + << std::endl + << "splot '-' w l" + << std::endl; GridOut().write_gnuplot (triangulation, deallog.get_file_stream()); + deallog.get_file_stream() << "e" << std::endl + << "pause -1" << std::endl; } diff --git a/tests/grid/torus_01.output b/tests/grid/torus_01.output index 6a3aa7328d..5c601ba773 100644 --- a/tests/grid/torus_01.output +++ b/tests/grid/torus_01.output @@ -1,4 +1,165 @@ +set arrow from 1.40000, 0.00000, 0.00000 rto 1.77636e-16, 0.359039, 1.75929 +set arrow from 1.00000, 0.400000, -2.44929e-17 rto 0.269279, 1.03095e-16, 1.25664 +set arrow from 0.300000, -1.71686e-17, 0.519615 rto -0.108828, 0.897598, 0.0628319 +set arrow from -0.500000, -0.400000, 0.866025 rto 0.231841, -3.78017e-16, 1.27396 +set arrow from -1.40000, 1.04983e-32, 1.71451e-16 rto 1.45541e-16, 0.359039, 2.63894 +set arrow from -1.00000, 0.400000, 9.79717e-17 rto -0.269279, 1.03095e-16, 1.88496 +set arrow from -0.300000, -8.08031e-17, -0.519615 rto -1.52359, 0.897598, 0.879646 +set arrow from 0.500000, -0.400000, -0.866025 rto 2.48886, 6.04582e-17, 0.296840 +set arrow from 1.28284, -0.282843, 1.57103e-17 rto 0.476023, 0.476023, 1.61207 +set arrow from 0.717157, 0.282843, -1.75653e-16 rto 0.412553, 0.412553, 0.901206 +set arrow from 0.641421, 0.282843, 1.11097 rto -0.248549, 0.0317349, 0.106856 +set arrow from 0.519615, 4.89859e-17, 0.300000 rto -0.219911, 0.897598, 0.380898 +set arrow from 1.04040, 0.00000, -6.05209e-17 rto 0.359599, 0.395863, 1.30741 +set arrow from 0.520201, 4.33154e-17, 0.901014 rto -0.00890844, 0.395863, 0.420372 +set arrow from 0.901694, 3.47321e-17, 0.520593 rto -0.0708730, 0.395782, 0.840383 +set view equal xyz +splot '-' w l +-0.700000 7.42403e-17 1.21244 0 0 +-0.500000 0.400000 0.866025 0 0 +-0.300000 -1.71686e-17 0.519615 0 0 +-0.500000 -0.400000 0.866025 0 0 +-0.700000 7.42403e-17 1.21244 0 0 + +0.700000 7.42403e-17 1.21244 0 0 +0.500000 0.400000 0.866025 0 0 +0.300000 -1.71686e-17 0.519615 0 0 +0.500000 -0.400000 0.866025 0 0 +0.700000 7.42403e-17 1.21244 0 0 + +-0.700000 7.42403e-17 1.21244 0 0 +0.700000 7.42403e-17 1.21244 0 0 + +-0.500000 0.400000 0.866025 0 0 +0.500000 0.400000 0.866025 0 0 + +-0.300000 -1.71686e-17 0.519615 0 0 +0.300000 -1.71686e-17 0.519615 0 0 + +-0.500000 -0.400000 0.866025 0 0 +0.500000 -0.400000 0.866025 0 0 + +-1.40000 1.04983e-32 1.71451e-16 0 0 +-1.00000 0.400000 9.79717e-17 0 0 +-0.600000 -4.89859e-17 7.34788e-17 0 0 +-1.00000 -0.400000 1.46958e-16 0 0 +-1.40000 1.04983e-32 1.71451e-16 0 0 + +-0.700000 7.42403e-17 1.21244 0 0 +-0.500000 0.400000 0.866025 0 0 +-0.300000 -1.71686e-17 0.519615 0 0 +-0.500000 -0.400000 0.866025 0 0 +-0.700000 7.42403e-17 1.21244 0 0 + +-1.40000 1.04983e-32 1.71451e-16 0 0 +-0.700000 7.42403e-17 1.21244 0 0 + +-1.00000 0.400000 9.79717e-17 0 0 +-0.500000 0.400000 0.866025 0 0 + +-0.600000 -4.89859e-17 7.34788e-17 0 0 +-0.300000 -1.71686e-17 0.519615 0 0 + +-1.00000 -0.400000 1.46958e-16 0 0 +-0.500000 -0.400000 0.866025 0 0 + +-0.700000 -7.42403e-17 -1.21244 0 0 +-0.500000 0.400000 -0.866025 0 0 +-0.300000 -8.08031e-17 -0.519615 0 0 +-0.500000 -0.400000 -0.866025 0 0 +-0.700000 -7.42403e-17 -1.21244 0 0 + +-1.40000 1.04983e-32 1.71451e-16 0 0 +-1.00000 0.400000 9.79717e-17 0 0 +-0.600000 -4.89859e-17 7.34788e-17 0 0 +-1.00000 -0.400000 1.46958e-16 0 0 +-1.40000 1.04983e-32 1.71451e-16 0 0 + +-0.700000 -7.42403e-17 -1.21244 0 0 +-1.40000 1.04983e-32 1.71451e-16 0 0 + +-0.500000 0.400000 -0.866025 0 0 +-1.00000 0.400000 9.79717e-17 0 0 + +-0.300000 -8.08031e-17 -0.519615 0 0 +-0.600000 -4.89859e-17 7.34788e-17 0 0 + +-0.500000 -0.400000 -0.866025 0 0 +-1.00000 -0.400000 1.46958e-16 0 0 + +0.700000 -7.42403e-17 -1.21244 0 0 +0.500000 0.400000 -0.866025 0 0 +0.300000 -8.08031e-17 -0.519615 0 0 +0.500000 -0.400000 -0.866025 0 0 +0.700000 -7.42403e-17 -1.21244 0 0 + +-0.700000 -7.42403e-17 -1.21244 0 0 +-0.500000 0.400000 -0.866025 0 0 +-0.300000 -8.08031e-17 -0.519615 0 0 +-0.500000 -0.400000 -0.866025 0 0 +-0.700000 -7.42403e-17 -1.21244 0 0 + +0.700000 -7.42403e-17 -1.21244 0 0 +-0.700000 -7.42403e-17 -1.21244 0 0 + +0.500000 0.400000 -0.866025 0 0 +-0.500000 0.400000 -0.866025 0 0 + +0.300000 -8.08031e-17 -0.519615 0 0 +-0.300000 -8.08031e-17 -0.519615 0 0 + +0.500000 -0.400000 -0.866025 0 0 +-0.500000 -0.400000 -0.866025 0 0 + +1.40000 0.00000 0.00000 0 0 +1.00000 0.400000 -2.44929e-17 0 0 +0.600000 -4.89859e-17 2.99952e-33 0 0 +1.00000 -0.400000 2.44929e-17 0 0 +1.40000 0.00000 0.00000 0 0 + +0.700000 -7.42403e-17 -1.21244 0 0 +0.500000 0.400000 -0.866025 0 0 +0.300000 -8.08031e-17 -0.519615 0 0 +0.500000 -0.400000 -0.866025 0 0 +0.700000 -7.42403e-17 -1.21244 0 0 + +1.40000 0.00000 0.00000 0 0 +0.700000 -7.42403e-17 -1.21244 0 0 + +1.00000 0.400000 -2.44929e-17 0 0 +0.500000 0.400000 -0.866025 0 0 + +0.600000 -4.89859e-17 2.99952e-33 0 0 +0.300000 -8.08031e-17 -0.519615 0 0 + +1.00000 -0.400000 2.44929e-17 0 0 +0.500000 -0.400000 -0.866025 0 0 + +0.700000 7.42403e-17 1.21244 1 0 +0.641421 0.282843 1.11097 1 0 +0.520201 4.33154e-17 0.901014 1 0 +0.641421 -0.282843 1.11097 1 0 +0.700000 7.42403e-17 1.21244 1 0 + +1.21244 3.71201e-17 0.700000 1 0 +1.11097 0.282843 0.641421 1 0 +0.901694 3.47321e-17 0.520593 1 0 +1.11097 -0.282843 0.641421 1 0 +1.21244 3.71201e-17 0.700000 1 0 + +0.700000 7.42403e-17 1.21244 1 0 +1.21244 3.71201e-17 0.700000 1 0 + +0.641421 0.282843 1.11097 1 0 +1.11097 0.282843 0.641421 1 0 + +0.520201 4.33154e-17 0.901014 1 0 +0.901694 3.47321e-17 0.520593 1 0 + +0.641421 -0.282843 1.11097 1 0 +1.11097 -0.282843 0.641421 1 0 + 0.641421 0.282843 1.11097 1 0 0.500000 0.400000 0.866025 1 0 0.358579 0.282843 0.621076 1 0 @@ -167,1155 +328,5 @@ 0.621076 -0.282843 0.358579 1 0 0.717157 -0.282843 8.78264e-18 1 0 --0.700000 7.42403e-17 1.21244 1 0 --0.641421 0.282843 1.11097 1 0 --0.520201 2.16577e-17 0.901014 1 0 --0.641421 -0.282843 1.11097 1 0 --0.700000 7.42403e-17 1.21244 1 0 - -8.57253e-17 7.42403e-17 1.40000 1 0 -7.85515e-17 0.282843 1.28284 1 0 -1.11689e-16 5.40277e-17 1.04119 1 0 -7.85515e-17 -0.282843 1.28284 1 0 -8.57253e-17 7.42403e-17 1.40000 1 0 - --0.700000 7.42403e-17 1.21244 1 0 -8.57253e-17 7.42403e-17 1.40000 1 0 - --0.641421 0.282843 1.11097 1 0 -7.85515e-17 0.282843 1.28284 1 0 - --0.520201 2.16577e-17 0.901014 1 0 -1.11689e-16 5.40277e-17 1.04119 1 0 - --0.641421 -0.282843 1.11097 1 0 -7.85515e-17 -0.282843 1.28284 1 0 - --0.641421 0.282843 1.11097 1 0 --0.500000 0.400000 0.866025 1 0 --0.358579 0.282843 0.621076 1 0 --0.520201 2.16577e-17 0.901014 1 0 --0.641421 0.282843 1.11097 1 0 - -7.85515e-17 0.282843 1.28284 1 0 -6.12323e-17 0.400000 1.00000 1 0 -4.39132e-17 0.282843 0.717157 1 0 -1.11689e-16 5.40277e-17 1.04119 1 0 -7.85515e-17 0.282843 1.28284 1 0 - --0.641421 0.282843 1.11097 1 0 -7.85515e-17 0.282843 1.28284 1 0 - --0.500000 0.400000 0.866025 1 0 -6.12323e-17 0.400000 1.00000 1 0 - --0.358579 0.282843 0.621076 1 0 -4.39132e-17 0.282843 0.717157 1 0 - --0.520201 2.16577e-17 0.901014 1 0 -1.11689e-16 5.40277e-17 1.04119 1 0 - -8.57253e-17 7.42403e-17 1.40000 1 0 -7.85515e-17 0.282843 1.28284 1 0 -1.11689e-16 5.40277e-17 1.04119 1 0 -7.85515e-17 -0.282843 1.28284 1 0 -8.57253e-17 7.42403e-17 1.40000 1 0 - -0.700000 7.42403e-17 1.21244 1 0 -0.641421 0.282843 1.11097 1 0 -0.520201 4.33154e-17 0.901014 1 0 -0.641421 -0.282843 1.11097 1 0 -0.700000 7.42403e-17 1.21244 1 0 - -8.57253e-17 7.42403e-17 1.40000 1 0 -0.700000 7.42403e-17 1.21244 1 0 - -7.85515e-17 0.282843 1.28284 1 0 -0.641421 0.282843 1.11097 1 0 - -1.11689e-16 5.40277e-17 1.04119 1 0 -0.520201 4.33154e-17 0.901014 1 0 - -7.85515e-17 -0.282843 1.28284 1 0 -0.641421 -0.282843 1.11097 1 0 - -7.85515e-17 0.282843 1.28284 1 0 -6.12323e-17 0.400000 1.00000 1 0 -4.39132e-17 0.282843 0.717157 1 0 -1.11689e-16 5.40277e-17 1.04119 1 0 -7.85515e-17 0.282843 1.28284 1 0 - -0.641421 0.282843 1.11097 1 0 -0.500000 0.400000 0.866025 1 0 -0.358579 0.282843 0.621076 1 0 -0.520201 4.33154e-17 0.901014 1 0 -0.641421 0.282843 1.11097 1 0 - -7.85515e-17 0.282843 1.28284 1 0 -0.641421 0.282843 1.11097 1 0 - -6.12323e-17 0.400000 1.00000 1 0 -0.500000 0.400000 0.866025 1 0 - -4.39132e-17 0.282843 0.717157 1 0 -0.358579 0.282843 0.621076 1 0 - -1.11689e-16 5.40277e-17 1.04119 1 0 -0.520201 4.33154e-17 0.901014 1 0 - --0.641421 -0.282843 1.11097 1 0 --0.520201 2.16577e-17 0.901014 1 0 --0.358579 -0.282843 0.621076 1 0 --0.500000 -0.400000 0.866025 1 0 --0.641421 -0.282843 1.11097 1 0 - -7.85515e-17 -0.282843 1.28284 1 0 -1.11689e-16 5.40277e-17 1.04119 1 0 -4.39132e-17 -0.282843 0.717157 1 0 -6.12323e-17 -0.400000 1.00000 1 0 -7.85515e-17 -0.282843 1.28284 1 0 - --0.641421 -0.282843 1.11097 1 0 -7.85515e-17 -0.282843 1.28284 1 0 - --0.520201 2.16577e-17 0.901014 1 0 -1.11689e-16 5.40277e-17 1.04119 1 0 - --0.358579 -0.282843 0.621076 1 0 -4.39132e-17 -0.282843 0.717157 1 0 - --0.500000 -0.400000 0.866025 1 0 -6.12323e-17 -0.400000 1.00000 1 0 - --0.520201 2.16577e-17 0.901014 1 0 --0.358579 0.282843 0.621076 1 0 --0.300000 -1.71686e-17 0.519615 1 0 --0.358579 -0.282843 0.621076 1 0 --0.520201 2.16577e-17 0.901014 1 0 - -1.11689e-16 5.40277e-17 1.04119 1 0 -4.39132e-17 0.282843 0.717157 1 0 -3.67394e-17 4.89859e-17 0.600000 1 0 -4.39132e-17 -0.282843 0.717157 1 0 -1.11689e-16 5.40277e-17 1.04119 1 0 - --0.520201 2.16577e-17 0.901014 1 0 -1.11689e-16 5.40277e-17 1.04119 1 0 - --0.358579 0.282843 0.621076 1 0 -4.39132e-17 0.282843 0.717157 1 0 - --0.300000 -1.71686e-17 0.519615 1 0 -3.67394e-17 4.89859e-17 0.600000 1 0 - --0.358579 -0.282843 0.621076 1 0 -4.39132e-17 -0.282843 0.717157 1 0 - -7.85515e-17 -0.282843 1.28284 1 0 -1.11689e-16 5.40277e-17 1.04119 1 0 -4.39132e-17 -0.282843 0.717157 1 0 -6.12323e-17 -0.400000 1.00000 1 0 -7.85515e-17 -0.282843 1.28284 1 0 - -0.641421 -0.282843 1.11097 1 0 -0.520201 4.33154e-17 0.901014 1 0 -0.358579 -0.282843 0.621076 1 0 -0.500000 -0.400000 0.866025 1 0 -0.641421 -0.282843 1.11097 1 0 - -7.85515e-17 -0.282843 1.28284 1 0 -0.641421 -0.282843 1.11097 1 0 - -1.11689e-16 5.40277e-17 1.04119 1 0 -0.520201 4.33154e-17 0.901014 1 0 - -4.39132e-17 -0.282843 0.717157 1 0 -0.358579 -0.282843 0.621076 1 0 - -6.12323e-17 -0.400000 1.00000 1 0 -0.500000 -0.400000 0.866025 1 0 - -1.11689e-16 5.40277e-17 1.04119 1 0 -4.39132e-17 0.282843 0.717157 1 0 -3.67394e-17 4.89859e-17 0.600000 1 0 -4.39132e-17 -0.282843 0.717157 1 0 -1.11689e-16 5.40277e-17 1.04119 1 0 - -0.520201 4.33154e-17 0.901014 1 0 -0.358579 0.282843 0.621076 1 0 -0.300000 -1.71686e-17 0.519615 1 0 -0.358579 -0.282843 0.621076 1 0 -0.520201 4.33154e-17 0.901014 1 0 - -1.11689e-16 5.40277e-17 1.04119 1 0 -0.520201 4.33154e-17 0.901014 1 0 - -4.39132e-17 0.282843 0.717157 1 0 -0.358579 0.282843 0.621076 1 0 - -3.67394e-17 4.89859e-17 0.600000 1 0 -0.300000 -1.71686e-17 0.519615 1 0 - -4.39132e-17 -0.282843 0.717157 1 0 -0.358579 -0.282843 0.621076 1 0 - --1.40000 1.04983e-32 1.71451e-16 1 0 --1.28284 0.282843 1.57103e-16 1 0 --1.04040 0.00000 1.27412e-16 1 0 --1.28284 -0.282843 1.57103e-16 1 0 --1.40000 1.04983e-32 1.71451e-16 1 0 - --1.21244 3.71201e-17 0.700000 1 0 --1.11097 0.282843 0.641421 1 0 --0.901694 3.08730e-17 0.520593 1 0 --1.11097 -0.282843 0.641421 1 0 --1.21244 3.71201e-17 0.700000 1 0 - --1.40000 1.04983e-32 1.71451e-16 1 0 --1.21244 3.71201e-17 0.700000 1 0 - --1.28284 0.282843 1.57103e-16 1 0 --1.11097 0.282843 0.641421 1 0 - --1.04040 0.00000 1.27412e-16 1 0 --0.901694 3.08730e-17 0.520593 1 0 - --1.28284 -0.282843 1.57103e-16 1 0 --1.11097 -0.282843 0.641421 1 0 - --1.28284 0.282843 1.57103e-16 1 0 --1.00000 0.400000 9.79717e-17 1 0 --0.717157 0.282843 8.78264e-17 1 0 --1.04040 0.00000 1.27412e-16 1 0 --1.28284 0.282843 1.57103e-16 1 0 - --1.11097 0.282843 0.641421 1 0 --0.866025 0.400000 0.500000 1 0 --0.621076 0.282843 0.358579 1 0 --0.901694 3.08730e-17 0.520593 1 0 --1.11097 0.282843 0.641421 1 0 - --1.28284 0.282843 1.57103e-16 1 0 --1.11097 0.282843 0.641421 1 0 - --1.00000 0.400000 9.79717e-17 1 0 --0.866025 0.400000 0.500000 1 0 - --0.717157 0.282843 8.78264e-17 1 0 --0.621076 0.282843 0.358579 1 0 - --1.04040 0.00000 1.27412e-16 1 0 --0.901694 3.08730e-17 0.520593 1 0 - --1.21244 3.71201e-17 0.700000 1 0 --1.11097 0.282843 0.641421 1 0 --0.901694 3.08730e-17 0.520593 1 0 --1.11097 -0.282843 0.641421 1 0 --1.21244 3.71201e-17 0.700000 1 0 - --0.700000 7.42403e-17 1.21244 1 0 --0.641421 0.282843 1.11097 1 0 --0.520201 2.16577e-17 0.901014 1 0 --0.641421 -0.282843 1.11097 1 0 --0.700000 7.42403e-17 1.21244 1 0 - --1.21244 3.71201e-17 0.700000 1 0 --0.700000 7.42403e-17 1.21244 1 0 - --1.11097 0.282843 0.641421 1 0 --0.641421 0.282843 1.11097 1 0 - --0.901694 3.08730e-17 0.520593 1 0 --0.520201 2.16577e-17 0.901014 1 0 - --1.11097 -0.282843 0.641421 1 0 --0.641421 -0.282843 1.11097 1 0 - --1.11097 0.282843 0.641421 1 0 --0.866025 0.400000 0.500000 1 0 --0.621076 0.282843 0.358579 1 0 --0.901694 3.08730e-17 0.520593 1 0 --1.11097 0.282843 0.641421 1 0 - --0.641421 0.282843 1.11097 1 0 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