From e44a059e29eabdc35f0bc23eef05bbe6e569e2f3 Mon Sep 17 00:00:00 2001 From: David Wells Date: Thu, 18 Jan 2018 15:16:34 -0500 Subject: [PATCH] Add a test for the 2D TFI change. --- tests/manifold/transfinite_manifold_07.cc | 335 +++++ tests/manifold/transfinite_manifold_07.output | 1155 +++++++++++++++++ 2 files changed, 1490 insertions(+) create mode 100644 tests/manifold/transfinite_manifold_07.cc create mode 100644 tests/manifold/transfinite_manifold_07.output diff --git a/tests/manifold/transfinite_manifold_07.cc b/tests/manifold/transfinite_manifold_07.cc new file mode 100644 index 0000000000..ceadc2cdb7 --- /dev/null +++ b/tests/manifold/transfinite_manifold_07.cc @@ -0,0 +1,335 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2018 by the deal.II authors +// +// This file is part of the deal.II library. +// +// The deal.II library is free software; you can use it, redistribute +// it, and/or modify it under the terms of the GNU Lesser General +// Public License as published by the Free Software Foundation; either +// version 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE at +// the top level of the deal.II distribution. +// +// --------------------------------------------------------------------- + + +// This test verifies that we can use transfinite interpolation on 2D cells +// that have large aspect ratios: if the initial guess of a chart point is not +// accurate enough then we will fail to calculate the weighted average in +// chart coordinates. This test is based on a minimum working example provided +// by Juan Carlos Araujo Cabarcas which did not work with the changes made to +// transfinite interpolation in late 2017 but worked with an earlier version. + +#include +#include +#include + +#include + +#include +#include + +#include "../tests.h" + +//---------------------------- GRID DEFINITION --------------------------------- + +struct Geom_parameters +{ + unsigned int n_balls; + + std::vector> ball_centers; + std::vector radius; +}; + +void concentric_disks(Triangulation<2> &tria, + const double s, + const std::vector &x, + Geom_parameters &gp) +{ + double r = x[0], d = 0.5 * x[0], + q = 1.0 / sqrt(2.0); // q: corner points factor + + const unsigned int nlay = x.size() - 1, vlayer = 8, lcells = 8, + n_vert = (2 + nlay) * vlayer + 1, + n_cell = 3 + (1 + nlay) * lcells + 1; // 19 + + int fc = 4; // fv = 1, f: fixed, displacement of index on the vertexes and + // cells ... inner objects + + // geometric information----------------------- + gp.n_balls = x.size(); // the resonator and all other centered at the origin + gp.ball_centers.resize(gp.n_balls); + gp.radius.resize(gp.n_balls); + gp.radius[0] = x[0]; + gp.ball_centers[0] = Point<2>(s, 0.0); + + for (unsigned int k = 1; k < x.size(); k++) + { + gp.radius[k] = x[k]; + gp.ball_centers[k] = Point<2>(0.0, 0.0); + } + + std::vector> vertices(n_vert); + + vertices[0] = Point<2>(0.0 + s, 0.0); + + // inner 4 squares + vertices[1] = Point<2>(d + s, 0.0); + vertices[2] = Point<2>(.5 * d + s, .5 * d); + vertices[3] = Point<2>(0.0 + s, d); + vertices[4] = Point<2>(-.5 * d + s, .5 * d); + vertices[5] = Point<2>(-d + s, 0.0); + vertices[6] = Point<2>(-.5 * d + s, -.5 * d); + vertices[7] = Point<2>(0.0 + s, -d); + vertices[8] = Point<2>(.5 * d + s, -.5 * d); + + // touching circle + for (unsigned int k = 0; k < x.size(); k++) + { + double z = (k == 0) ? s : 0.0; + r = x[k]; + vertices[8 + k * vlayer + 1] = Point<2>(r + z, 0.0); + vertices[8 + k * vlayer + 2] = Point<2>(r * q + z, r * q); + vertices[8 + k * vlayer + 3] = Point<2>(0.0 + z, r); + vertices[8 + k * vlayer + 4] = Point<2>(-r * q + z, r * q); + vertices[8 + k * vlayer + 5] = Point<2>(-r + z, 0.0); + vertices[8 + k * vlayer + 6] = Point<2>(-r * q + z, -r * q); + vertices[8 + k * vlayer + 7] = Point<2>(0.0 + z, -r); + vertices[8 + k * vlayer + 8] = Point<2>(r * q + z, -r * q); + } + + std::vector> cell_v(n_cell, std::vector(4)); + + cell_v[0][0] = 0; // cell, i = 0 + cell_v[0][1] = 8; + cell_v[0][2] = 2; + cell_v[0][3] = 1; + + cell_v[1][0] = 0; // cell, i = 1 + cell_v[1][1] = 2; + cell_v[1][2] = 4; + cell_v[1][3] = 3; + + cell_v[2][0] = 0; // cell, i = 2 + cell_v[2][1] = 4; + cell_v[2][2] = 6; + cell_v[2][3] = 5; + + cell_v[3][0] = 0; // cell, i = 3 + cell_v[3][1] = 6; + cell_v[3][2] = 8; + cell_v[3][3] = 7; + + cell_v[4][0] = 8; // cell, i = 4 + cell_v[4][1] = 16; + cell_v[4][2] = 1; + cell_v[4][3] = 9; + + cell_v[5][0] = 2; // cell, i = 5 + cell_v[5][1] = 1; + cell_v[5][2] = 10; + cell_v[5][3] = 9; + + cell_v[6][0] = 2; // cell, i = 6 + cell_v[6][1] = 10; + cell_v[6][2] = 3; + cell_v[6][3] = 11; + + cell_v[7][0] = 4; // cell, i = 7 + cell_v[7][1] = 3; + cell_v[7][2] = 12; + cell_v[7][3] = 11; + + cell_v[8][0] = 4; // cell, i = 8 + cell_v[8][1] = 12; + cell_v[8][2] = 5; + cell_v[8][3] = 13; + + cell_v[9][0] = 6; // cell, i = 9 + cell_v[9][1] = 5; + cell_v[9][2] = 14; + cell_v[9][3] = 13; + + cell_v[10][0] = 6; // cell, i = 10 + cell_v[10][1] = 14; + cell_v[10][2] = 7; + cell_v[10][3] = 15; + + cell_v[11][0] = 8; // cell, i = 11 + cell_v[11][1] = 7; + cell_v[11][2] = 16; + cell_v[11][3] = 15; + + // layer cells + for (unsigned int k = 1; k < x.size(); k++) + { + const unsigned int m = k + 1; + + // cell 12 + cell_v[fc + k * lcells + 0][0] = 7 + 8 * k + 1; // 16; // cell, i = 12 + cell_v[fc + k * lcells + 0][1] = 7 + 8 * m + 1; // 24; + cell_v[fc + k * lcells + 0][2] = 0 + 8 * k + 1; // 9; + cell_v[fc + k * lcells + 0][3] = 0 + 8 * m + 1; // 17; + + // cell 13 + cell_v[fc + k * lcells + 1][0] = 1 + 8 * k + 1; // 10; // cell, i = 13 + cell_v[fc + k * lcells + 1][1] = 0 + 8 * k + 1; // 9; + cell_v[fc + k * lcells + 1][2] = 1 + 8 * m + 1; // 18; + cell_v[fc + k * lcells + 1][3] = 0 + 8 * m + 1; // 17; + + // cell 14 + cell_v[fc + k * lcells + 2][0] = 1 + 8 * k + 1; // 10; // cell, i = 14 + cell_v[fc + k * lcells + 2][1] = 1 + 8 * m + 1; // 18; + cell_v[fc + k * lcells + 2][2] = 2 + 8 * k + 1; // 11; + cell_v[fc + k * lcells + 2][3] = 2 + 8 * m + 1; // 19; + + // cell 15 + cell_v[fc + k * lcells + 3][0] = 3 + 8 * k + 1; // 12; // cell, i = 15 + cell_v[fc + k * lcells + 3][1] = 2 + 8 * k + 1; // 11; + cell_v[fc + k * lcells + 3][2] = 3 + 8 * m + 1; // 20; + cell_v[fc + k * lcells + 3][3] = 2 + 8 * m + 1; // 19; + + // cell 16 + cell_v[fc + k * lcells + 4][0] = 3 + 8 * k + 1; // 12; // cell, i = 16 + cell_v[fc + k * lcells + 4][1] = 3 + 8 * m + 1; // 20; + cell_v[fc + k * lcells + 4][2] = 4 + 8 * k + 1; // 13; + cell_v[fc + k * lcells + 4][3] = 4 + 8 * m + 1; // 21; + + // cell 17 + cell_v[fc + k * lcells + 5][0] = 5 + 8 * k + 1; // 14; // cell, i = 17 + cell_v[fc + k * lcells + 5][1] = 4 + 8 * k + 1; // 13; + cell_v[fc + k * lcells + 5][2] = 5 + 8 * m + 1; // 22; + cell_v[fc + k * lcells + 5][3] = 4 + 8 * m + 1; // 21; + + // cell 18 + cell_v[fc + k * lcells + 6][0] = 5 + 8 * k + 1; // 14; // cell, i = 18 + cell_v[fc + k * lcells + 6][1] = 5 + 8 * m + 1; // 22; + cell_v[fc + k * lcells + 6][2] = 6 + 8 * k + 1; // 15; + cell_v[fc + k * lcells + 6][3] = 6 + 8 * m + 1; // 23; + + // cell 19 + cell_v[fc + k * lcells + 7][0] = 7 + 8 * k + 1; // 16; // cell, i = + cell_v[fc + k * lcells + 7][1] = 6 + 8 * k + 1; // 15; + cell_v[fc + k * lcells + 7][2] = 7 + 8 * m + 1; // 24; + cell_v[fc + k * lcells + 7][3] = 6 + 8 * m + 1; // 23; + } + + std::vector> cells(n_cell, CellData<2>()); + + unsigned int cell_idx = 0; + for (unsigned int i = 0; i < n_cell; ++i) + { + for (unsigned int j = 0; j < 4; ++j) + { + cells[i].vertices[j] = cell_v[i][j]; + } + cell_idx++; + } + + tria.create_triangulation(std::vector>(&vertices[0], &vertices[n_vert]), + cells, + SubCellData()); // no boundary information + + double eps = 1e-5 * x[0]; + unsigned int label = 100; + + for (Triangulation<2>::active_cell_iterator cell = tria.begin_active(); + cell != tria.end(); + ++cell) + { + cell->set_all_manifold_ids(1); // not faces ... for Transfinite interpolation + for (unsigned int k = 0; k < gp.n_balls; ++k) + { + for (unsigned int f = 0; f < GeometryInfo<2>::faces_per_cell; ++f) + { + const Point<2> + p0 = cell->face(f)->vertex(0), + p1 = cell->face(f)->vertex(1); + const double d0 = p0.distance(gp.ball_centers[k]), + d1 = p1.distance(gp.ball_centers[k]); + + if ((std::abs(d0 - gp.radius[k]) < eps) && + (std::abs(d1 - gp.radius[k]) < eps)) + { + cell->face(f)->set_all_manifold_ids(label + k); + } + } + } // face + } // cell + + // end-colorizing + // -------------------------------------------------------------------------------- +} + +void concentric_disks(Triangulation<2> &tria, + std::vector x, + Geom_parameters &gp) +{ + concentric_disks(tria, 0.0, x, gp); +} + +//--------------------- MAIN CLASS --------------------------------------------- + +template +class Mygrid +{ +public: + Mygrid(unsigned int r); + void run(); + +private: + void make_grid(); + + Geom_parameters gp; + std::vector> balls; + TransfiniteInterpolationManifold inner_manifold; + Triangulation triangulation; + unsigned int refinement; +}; + +template +Mygrid::Mygrid(unsigned int r) + : refinement(r) +{} + +template +void Mygrid::make_grid() +{ + const double s = 0.1; + std::vector x {1.0, 1.5, 2.0, 2.5, 3.0}; + concentric_disks(triangulation, s, x, gp); + for (unsigned int i = 0; i < gp.n_balls; i++) + { + balls.emplace_back(gp.ball_centers[i]); + } + + // assigning manifolds, with layers 100, 101, 102, 103 + for (unsigned int i = 0; i < gp.n_balls; i++) + { + triangulation.set_manifold(100 + i, balls[i]); + } + + const unsigned int not_curved = 1; + inner_manifold.initialize(triangulation); + triangulation.set_manifold(not_curved, inner_manifold); + + GridOut grid_out; + grid_out.write_vtk(triangulation, deallog.get_file_stream()); + triangulation.refine_global(refinement); + grid_out.write_vtk(triangulation, deallog.get_file_stream()); +} + +template +void Mygrid::run() +{ + make_grid(); +} + +int main(int argc, char **argv) +{ + initlog(); + + Mygrid<2> problem_2d(1); + problem_2d.run(); +} diff --git a/tests/manifold/transfinite_manifold_07.output b/tests/manifold/transfinite_manifold_07.output new file mode 100644 index 0000000000..2c7d30eb20 --- /dev/null +++ b/tests/manifold/transfinite_manifold_07.output @@ -0,0 +1,1155 @@ + +# vtk DataFile Version 3.0 +#This file was generated +ASCII +DATASET UNSTRUCTURED_GRID + +POINTS 176 double +0.100000 0.00000 0 +0.350000 -0.250000 0 +0.350000 0.250000 0 +0.600000 0.00000 0 +0.100000 0.00000 0 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