From: Wolfgang Bangerth Date: Mon, 7 Apr 2014 18:04:21 +0000 (+0000) Subject: Patch by Denis Davydov: Add an optional argument to GridTools::laplace_transform... X-Git-Tag: v8.2.0-rc1~644 X-Git-Url: https://gitweb.dealii.org/cgi-bin/gitweb.cgi?a=commitdiff_plain;h=c6269079be0c852190f1924a24063dd7016d9cf1;p=dealii.git Patch by Denis Davydov: Add an optional argument to GridTools::laplace_transform that indicates the local stiffness. git-svn-id: https://svn.dealii.org/trunk@32725 0785d39b-7218-0410-832d-ea1e28bc413d --- diff --git a/deal.II/doc/news/changes.h b/deal.II/doc/news/changes.h index a49dcacfe2..bcc902bd80 100644 --- a/deal.II/doc/news/changes.h +++ b/deal.II/doc/news/changes.h @@ -1,4 +1,4 @@ - // --------------------------------------------------------------------- +// --------------------------------------------------------------------- // $Id$ // // Copyright (C) 2013, 2014 by the deal.II authors @@ -148,10 +148,16 @@ inconvenience this causes.

Specific improvements

    +
  1. New: GridTools::laplace_transform() now takes an addition, optional + parameter that indicates the "stiffness" of the mapping. +
    + (Denis Davydov, Jean-Paul Pelteret, 2014/04/07) +
    2. +
  2. Fixed: DoFTools::extract_constant_modes now correctly identifies both constant modes in the scalar element FE_Q_DG0, which has been realized by a few modifications in how the constant modes propagate from the element to - the extract_constant_modes function. + the extract_constant_modes() function.
    (Martin Kronbichler, 2014/04/04)
    3. diff --git a/deal.II/include/deal.II/grid/grid_generator.h b/deal.II/include/deal.II/grid/grid_generator.h index 15625f4677..efdd65a8ae 100644 --- a/deal.II/include/deal.II/grid/grid_generator.h +++ b/deal.II/include/deal.II/grid/grid_generator.h @@ -22,6 +22,7 @@ #include #include #include +#include #include #include @@ -692,11 +693,21 @@ namespace GridGenerator * * In 1d, this function is not currently implemented. * + * An optional @p coefficient for the Laplace problem an be used to control the amount of + * mesh deformation in different parts of the domain. + * Larger values make cells less prone to deformation (effectively increasing their stiffness). + * The coefficient is evaluated in the coordinate system of the old, + * undeformed configuration of the triangulation as input, i.e., before + * the transformation is applied. + * Should this function be provided, sensible results can only be expected if + * all coefficients are positive. + * * @deprecated This function has been moved to GridTools::laplace_transform */ template void laplace_transformation (Triangulation &tria, - const std::map > &new_points) DEAL_II_DEPRECATED; + const std::map > &new_points, + const Function *coefficient = 0) DEAL_II_DEPRECATED; /** * Exception diff --git a/deal.II/include/deal.II/grid/grid_tools.h b/deal.II/include/deal.II/grid/grid_tools.h index 1622a618f1..09377b3774 100644 --- a/deal.II/include/deal.II/grid/grid_tools.h +++ b/deal.II/include/deal.II/grid/grid_tools.h @@ -261,11 +261,20 @@ namespace GridTools * @param[in,out] tria The Triangulation object. This object is changed in-place, * i.e., the previous locations of vertices are overwritten. * + * @param[in] coefficient An optional coefficient for the Laplace problem. + * Larger values make cells less prone to deformation (effectively increasing their stiffness). + * The coefficient is evaluated in the coordinate system of the old, + * undeformed configuration of the triangulation as input, i.e., before + * the transformation is applied. + * Should this function be provided, sensible results can only be expected if + * all coefficients are positive. + * * @note This function is not currently implemented for the 1d case. */ template void laplace_transform (const std::map > &new_points, - Triangulation &tria); + Triangulation &tria, + const Function *coefficient = 0); /** * Scale the entire triangulation diff --git a/deal.II/source/grid/grid_generator.cc b/deal.II/source/grid/grid_generator.cc index d20a4acfab..479e84ac1b 100644 --- a/deal.II/source/grid/grid_generator.cc +++ b/deal.II/source/grid/grid_generator.cc @@ -3425,7 +3425,10 @@ namespace GridGenerator // and create the triangulation SubCellData subcell_data; std::vector considered_vertices; - GridTools::delete_duplicated_vertices (vertices, cells, subcell_data, considered_vertices); + GridTools::delete_duplicated_vertices (vertices, cells, + subcell_data, + considered_vertices); + result.clear (); result.create_triangulation (vertices, cells, subcell_data); } @@ -3554,7 +3557,8 @@ namespace GridGenerator // Implementation for 1D only template <> void laplace_transformation (Triangulation<1> &, - const std::map > &) + const std::map > &, + const Function<1> *) { Assert(false, ExcNotImplemented()); } @@ -3563,7 +3567,8 @@ namespace GridGenerator // Implementation for dimensions except 1 template void laplace_transformation (Triangulation &tria, - const std::map > &new_points) + const std::map > &new_points, + const Function *coefficient) { // first provide everything that is // needed for solving a Laplace @@ -3587,7 +3592,7 @@ namespace GridGenerator QGauss quadrature(4); - MatrixCreator::create_laplace_matrix(mapping_q1, dof_handler, quadrature, S); + MatrixCreator::create_laplace_matrix(mapping_q1, dof_handler, quadrature, S,coefficient); // set up the boundary values for // the laplace problem diff --git a/deal.II/source/grid/grid_generator.inst.in b/deal.II/source/grid/grid_generator.inst.in index 684d5a0d62..913a91ab07 100644 --- a/deal.II/source/grid/grid_generator.inst.in +++ b/deal.II/source/grid/grid_generator.inst.in @@ -92,7 +92,8 @@ namespace GridGenerator \{ #if deal_II_dimension > 1 template void laplace_transformation (Triangulation &, - const std::map > &); + const std::map > &, + const Function *); #endif \} diff --git a/deal.II/source/grid/grid_tools.cc b/deal.II/source/grid/grid_tools.cc index 84e781be1e..34888a24bb 100644 --- a/deal.II/source/grid/grid_tools.cc +++ b/deal.II/source/grid/grid_tools.cc @@ -623,11 +623,12 @@ namespace GridTools template void laplace_transform (const std::map > &new_points, - Triangulation &triangulation) + Triangulation &triangulation, + const Function *coefficient) { //TODO: Move implementation of this function into the current // namespace - GridGenerator::laplace_transformation(triangulation, new_points); + GridGenerator::laplace_transformation(triangulation, new_points, coefficient); } diff --git a/deal.II/source/grid/grid_tools.inst.in b/deal.II/source/grid/grid_tools.inst.in index a85fc66fb5..20e2102a5c 100644 --- a/deal.II/source/grid/grid_tools.inst.in +++ b/deal.II/source/grid/grid_tools.inst.in @@ -238,7 +238,8 @@ for (deal_II_dimension : DIMENSIONS; deal_II_space_dimension : SPACE_DIMENSIONS template void laplace_transform (const std::map > &new_points, - Triangulation &triangulation); + Triangulation &triangulation, + const Function *coefficient); template Triangulation::DistortedCellList diff --git a/tests/deal.II/grid_transform.cc b/tests/deal.II/grid_transform.cc index b417626514..3c6dcb2f0e 100644 --- a/tests/deal.II/grid_transform.cc +++ b/tests/deal.II/grid_transform.cc @@ -1,7 +1,7 @@ // --------------------------------------------------------------------- // $Id$ // -// Copyright (C) 1998 - 2013 by the deal.II authors +// Copyright (C) 1998 - 2014 by the deal.II authors // // This file is part of the deal.II library. // @@ -15,6 +15,8 @@ // --------------------------------------------------------------------- +// test the deformation of a circular annulus to a domain where the central +// circle is displaced #include "../tests.h" diff --git a/tests/deal.II/grid_transform_coefficient.cc b/tests/deal.II/grid_transform_coefficient.cc new file mode 100644 index 0000000000..beee2dd480 --- /dev/null +++ b/tests/deal.II/grid_transform_coefficient.cc @@ -0,0 +1,123 @@ +// --------------------------------------------------------------------- +// $Id$ +// +// Copyright (C) 1998 - 2014 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. +// +// --------------------------------------------------------------------- + +// like grid_transform, but use a spatially variable coefficient + + +#include "../tests.h" +#include +#include +#include +#include +#include +#include +#include + +#include +#include + + +template +class Coefficient : public Function +{ +public: + virtual double value (const Point &p, + const unsigned int) const + { + return (p[0]>0 ? 10 : 1); + } +}; + + +int main () +{ + const unsigned int dim=2; + Point origin; + HyperShellBoundary boundary(origin); + MappingQ mapping(2); + Triangulation tria; + tria.set_boundary(0, boundary); + const double inner_radius=1.; + const double outer_radius=5.; + GridGenerator::hyper_shell(tria, origin, inner_radius, outer_radius, 8); + tria.refine_global(2); + + // build up a map of vertex indices + // of boundary vertices to the new + // boundary points + std::map > new_points; + + // new center and new radius + // of the inner circle. + const Point n_center(0,-1); + const double n_radius=0.5; + + Triangulation::cell_iterator cell=tria.begin_active(), + endc=tria.end(); + Triangulation::face_iterator face; + for (; cell!=endc; ++cell) + { + if (cell->at_boundary()) + for (unsigned int face_no=0; face_no::faces_per_cell; ++face_no) + { + face=cell->face(face_no); + if (face->at_boundary()) + for (unsigned int vertex_no=0; + vertex_no::vertices_per_face; ++vertex_no) + { + const Point &v=face->vertex(vertex_no); + if (std::fabs(std::sqrt(v.square())-outer_radius)<1e-12) + { + // leave the + // point, where + // they are. + new_points.insert(std::pair > ( + face->vertex_index(vertex_no), v)); + } + else if (std::fabs(std::sqrt(v.square())-inner_radius)<1e-12) + { + // move the + // center of + // the inner + // circle to + // (-1,0) and + // take half + // the radius + // of the + // circle. + new_points.insert(std::pair > ( + face->vertex_index(vertex_no), n_radius/inner_radius*v+n_center)); + face->set_boundary_indicator(1); + } + else + Assert(false, ExcInternalError()); + } + } + } + + const Coefficient c; + GridGenerator::laplace_transformation (tria, new_points, &c); + HyperBallBoundary inner_ball(n_center, n_radius); + tria.set_boundary(1, inner_ball); + + GridOut grid_out; + std::ofstream eps_stream2("output"); + grid_out.write_eps(tria, eps_stream2, &mapping); + + tria.clear(); + + return 0; +} diff --git a/tests/deal.II/grid_transform_coefficient.output b/tests/deal.II/grid_transform_coefficient.output new file mode 100644 index 0000000000..74f8f2d6b9 --- /dev/null +++ b/tests/deal.II/grid_transform_coefficient.output @@ -0,0 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