From 6a470e4c72653524b79d12bc5a640f9a87df1e85 Mon Sep 17 00:00:00 2001 From: Luca Heltai Date: Mon, 25 Aug 2014 11:32:54 +0200 Subject: [PATCH] Made MappingQ compatible with Manifold. --- doc/news/changes.h | 14 +- include/deal.II/fe/mapping_q.h | 91 +- source/fe/mapping_q.cc | 220 +-- tests/manifold/spherical_manifold_05.cc | 91 + tests/manifold/spherical_manifold_05.output | 1733 +++++++++++++++++++ 5 files changed, 2029 insertions(+), 120 deletions(-) create mode 100644 tests/manifold/spherical_manifold_05.cc create mode 100644 tests/manifold/spherical_manifold_05.output diff --git a/doc/news/changes.h b/doc/news/changes.h index 2c11a85ba4..bb77d0f02a 100644 --- a/doc/news/changes.h +++ b/doc/news/changes.h @@ -111,7 +111,14 @@ inconvenience this causes.
    - + +
  1. New: Made MappingQ aware of + Manifold. Now we can use high order mappings that + actually follow the geometry also on the interior of codimension + zero meshes. +
    (Luca Heltai, 2014/09/13) +
    2. +
  2. New: Added two optional parameters to TriaAccessor::center() and a new method TriaAccessor::intermediate_point(). They allow to query for a @@ -122,18 +129,19 @@ inconvenience this causes. TriaAccessor::center() interface when querying for new points.
    (Luca Heltai, 2014/09/13) - +
  3. New: The new tutorial program step-52 explains how to use the new time stepping methods.
    (Bruno Turcksin, Damien Lebrun-Grandie, 2014/09/12) - +
  4. New: The new tutorial program step-53 explains how to deal with complicated geometries.
    (Wolfgang Bangerth, Luca Heltai, 2014/09/02) +
  5. Changed: Namespace std_cxx1x has been renamed to namespace std_cxx11 to match the fact that the corresponding C++ standard diff --git a/include/deal.II/fe/mapping_q.h b/include/deal.II/fe/mapping_q.h index 28e4aefcbf..02016110db 100644 --- a/include/deal.II/fe/mapping_q.h +++ b/include/deal.II/fe/mapping_q.h @@ -22,6 +22,7 @@ #include #include #include +#include DEAL_II_NAMESPACE_OPEN @@ -265,7 +266,35 @@ protected: add_quad_support_points(const typename Triangulation::cell_iterator &cell, std::vector > &a) const; + private: + /** + * Ask the manifold descriptor to return intermediate points on + * lines or faces. The function needs to return one or multiple + * points (depending on the number of elements in the output vector + * @p points that lie inside a line, quad or hex). Whether it is a + * line, quad or hex doesn't really matter to this function but it + * can be inferred from the number of input points in the @p + * surrounding_points vector. + */ + void get_intermediate_points(const Manifold &manifold, + const std::vector > &surrounding_points, + std::vector > &points) const; + + + /** + * Ask the manifold descriptor to return intermediate points on the + * object pointed to by the TriaIterator @p iter. This function + * tries to be backward compatible with respect to the differences + * between Boundary and Manifold, + * querying the first whenever the passed @p manifold can be + * upgraded to a Boundary. + */ + template + void get_intermediate_points_on_object(const Manifold &manifold, + const TriaIterator &iter, + std::vector > &points) const; + virtual typename Mapping::InternalDataBase * @@ -434,6 +463,18 @@ private: */ const FE_Q feq; + + /* + * The default line support points. These are used when computing + * the location in real space of the support points on lines and + * quads, which are asked to the Manifold class. + * + * The number of quadrature points depends on the degree of this + * class, and it matches the number of degrees of freedom of an + * FE_Q<1>(this->degree). + */ + QGaussLobatto<1> line_support_points; + /** * Declare other MappingQ classes friends. */ @@ -461,20 +502,52 @@ void MappingQ<3>::set_laplace_on_hex_vector(Table<2,double> &lohvs) const; template <> void MappingQ<1>::compute_laplace_vector(Table<2,double> &) const; -template <> -void MappingQ<1>::add_line_support_points (const Triangulation<1>::cell_iterator &, - std::vector > &) const; -template <> -void MappingQ<1,2>::add_line_support_points (const Triangulation<1,2>::cell_iterator &, - std::vector > &) const; -template <> -void MappingQ<1,3>::add_line_support_points (const Triangulation<1,3>::cell_iterator &, - std::vector > &) const; + template<> void MappingQ<3>::add_quad_support_points(const Triangulation<3>::cell_iterator &cell, std::vector > &a) const; +// ---- Templated functions ---- // +template +template +void +MappingQ::get_intermediate_points_on_object(const Manifold &manifold, + const TriaIterator &iter, + std::vector > &points) const +{ + const unsigned int structdim = TriaIterator::AccessorType::structure_dimension; + // Try backward compatibility option. + const Boundary *boundary = dynamic_cast *>(&manifold); + if (boundary) // This is actually a boundary. Call old methods. + switch (structdim) + { + case 1: + { + const typename Triangulation::line_iterator line = iter; + boundary->get_intermediate_points_on_line(line, points); + return; + } + case 2: + { + const typename Triangulation::quad_iterator quad = iter; + boundary->get_intermediate_points_on_quad(quad, points); + return; + } + default: + Assert(false, ExcInternalError()); + return; + } + else + { + std::vector > sp(GeometryInfo::vertices_per_cell); + for (unsigned int i=0; ivertex(i); + get_intermediate_points(manifold, sp, points); + } +} + + #endif // DOXYGEN DEAL_II_NAMESPACE_CLOSE diff --git a/source/fe/mapping_q.cc b/source/fe/mapping_q.cc index afc17259d3..835d8405f0 100644 --- a/source/fe/mapping_q.cc +++ b/source/fe/mapping_q.cc @@ -71,7 +71,8 @@ MappingQ<1>::MappingQ (const unsigned int, n_shape_functions(2), renumber(0), use_mapping_q_on_all_cells (false), - feq(degree) + feq(degree), + line_support_points(degree+1) {} @@ -85,7 +86,8 @@ MappingQ<1>::MappingQ (const MappingQ<1> &m): n_shape_functions(2), renumber(0), use_mapping_q_on_all_cells (m.use_mapping_q_on_all_cells), - feq(degree) + feq(degree), + line_support_points(degree+1) {} template<> @@ -128,13 +130,13 @@ MappingQ::MappingQ (const unsigned int p, degree))), use_mapping_q_on_all_cells (use_mapping_q_on_all_cells || (dim != spacedim)), - feq(degree) + feq(degree), + line_support_points(degree+1) { // Construct the tensor product polynomials used as shape functions for the // Qp mapping of cells at the boundary. - const QGaussLobatto<1> points(degree+1); tensor_pols = new TensorProductPolynomials - (Polynomials::generate_complete_Lagrange_basis(points.get_points())); + (Polynomials::generate_complete_Lagrange_basis(line_support_points.get_points())); Assert (n_shape_functions==tensor_pols->n(), ExcInternalError()); Assert(n_inner+n_outer==n_shape_functions, ExcInternalError()); @@ -161,7 +163,8 @@ MappingQ::MappingQ (const MappingQ &mapping) n_shape_functions(mapping.n_shape_functions), renumber(mapping.renumber), use_mapping_q_on_all_cells (mapping.use_mapping_q_on_all_cells), - feq(degree) + feq(degree), + line_support_points(degree+1) { tensor_pols=new TensorProductPolynomials (*mapping.tensor_pols); laplace_on_quad_vector=mapping.laplace_on_quad_vector; @@ -744,101 +747,26 @@ MappingQ::compute_support_points_laplace(const typename Triangulat } - -template <> -void -MappingQ<1>::add_line_support_points (const Triangulation<1>::cell_iterator &, - std::vector > &) const -{ - // there are no points on bounding lines which are to be added - const unsigned int dim=1; - Assert (dim > 1, ExcImpossibleInDim(dim)); -} - - - -template <> -void -MappingQ<1,2>::add_line_support_points (const Triangulation<1,2>::cell_iterator &cell, - std::vector > &a) const -{ - const unsigned int dim = 1; - const unsigned int spacedim = 2; - // Ask for the mid point, if that's the only thing we need. - if (degree==2) - { - const Boundary *const boundary - = &(cell->get_triangulation().get_boundary(cell->material_id())); - a.push_back(boundary->get_new_point_on_line(cell)); - } - else - // otherwise call the more complicated functions and ask for inner points - // from the boundary description - { - std::vector > line_points (degree-1); - - const Boundary *const boundary - = &(cell->get_triangulation().get_boundary(cell->material_id())); - - boundary->get_intermediate_points_on_line (cell, line_points); - // Append all points - a.insert (a.end(), line_points.begin(), line_points.end()); - } -} - - - -template <> -void -MappingQ<1,3>::add_line_support_points (const Triangulation<1,3>::cell_iterator &cell, - std::vector > &a) const -{ - const unsigned int dim = 1; - const unsigned int spacedim = 3; - // Ask for the mid point, if that's the only thing we need. - if (degree==2) - { - const Boundary *const boundary - = &(cell->get_triangulation().get_boundary(cell->material_id())); - a.push_back(boundary->get_new_point_on_line(cell)); - } - else - // otherwise call the more complicated functions and ask for inner points - // from the boundary description - { - std::vector > line_points (degree-1); - - const Boundary *const boundary - = &(cell->get_triangulation().get_boundary(cell->material_id())); - - boundary->get_intermediate_points_on_line (cell, line_points); - // Append all points - a.insert (a.end(), line_points.begin(), line_points.end()); - } -} - - - template void MappingQ::add_line_support_points (const typename Triangulation::cell_iterator &cell, std::vector > &a) const { - static const StraightBoundary straight_boundary; // if we only need the midpoint, then ask for it. if (degree==2) { for (unsigned int line_no=0; line_no::lines_per_cell; ++line_no) { - const typename Triangulation::line_iterator line = cell->line(line_no); - const Boundary *const boundary - = (line->at_boundary()? - &line->get_triangulation().get_boundary(line->boundary_indicator()): - (dim != spacedim) ? - &line->get_triangulation().get_boundary(cell->material_id()): - &straight_boundary); - - a.push_back(boundary->get_new_point_on_line(line)); + const typename Triangulation::line_iterator line = + (dim == 1 ? + static_cast::line_iterator>(cell) : + cell->line(line_no)); + + const Manifold &manifold = + ( ( line->manifold_id() == numbers::invalid_manifold_id ) && + ( dim < spacedim ) ? cell->get_manifold() : + line->get_manifold() ); + a.push_back(manifold.get_new_point_on_line(line)); }; } else @@ -846,21 +774,24 @@ MappingQ::add_line_support_points (const typename Triangulation > line_points (degree-1); - // loop over each of the lines, and if it is at the boundary, then first // get the boundary description and second compute the points on it for (unsigned int line_no=0; line_no::lines_per_cell; ++line_no) { - const typename Triangulation::line_iterator line = cell->line(line_no); + const typename Triangulation::line_iterator + line = (dim == 1 + ? + static_cast::line_iterator>(cell) + : + cell->line(line_no)); - const Boundary *const boundary - = (line->at_boundary()? - &line->get_triangulation().get_boundary(line->boundary_indicator()) : - (dim != spacedim) ? - &line->get_triangulation().get_boundary(cell->material_id()) : - &straight_boundary); + const Manifold &manifold = + ( ( line->manifold_id() == numbers::invalid_manifold_id ) && + ( dim < spacedim ) ? cell->get_manifold() : + line->get_manifold() ); + + get_intermediate_points_on_object (manifold, line, line_points); - boundary->get_intermediate_points_on_line (line, line_points); if (dim==3) { // in 3D, lines might be in wrong orientation. if so, reverse @@ -898,6 +829,9 @@ add_quad_support_points(const Triangulation<3>::cell_iterator &cell, // used if only one line of face quad is at boundary std::vector > b(4*degree); + // Used by the new Manifold interface. This vector collects the + // vertices used to compute the intermediate points. + std::vector > vertices(4); // loop over all faces and collect points on them for (unsigned int face_no=0; face_no::cell_iterator &cell, // points on it if (face->at_boundary()) { - face->get_triangulation().get_boundary(face->boundary_indicator()) - .get_intermediate_points_on_quad (face, quad_points); + get_intermediate_points_on_object(face->get_manifold(), face, quad_points); + // in 3D, the orientation, flip and rotation of the face might not // match what we expect here, namely the standard orientation. thus // reorder points accordingly. since a Mapping uses the same shape @@ -992,9 +926,12 @@ add_quad_support_points(const Triangulation<3>::cell_iterator &cell, } else { - // face is entirely in the interior. get intermediate points - // from a straight boundary object - straight_boundary.get_intermediate_points_on_quad (face, quad_points); + // face is entirely in the interior. get intermediate + // points from the relevant manifold object. + vertices.resize(4); + for (unsigned int i=0; i<4; ++i) + vertices[i] = face->vertex(i); + get_intermediate_points (face->get_manifold(), vertices, quad_points); // in 3D, the orientation, flip and rotation of the face might // not match what we expect here, namely the standard // orientation. thus reorder points accordingly. since a Mapping @@ -1019,9 +956,7 @@ add_quad_support_points(const Triangulation<2,3>::cell_iterator &cell, std::vector > &a) const { std::vector > quad_points ((degree-1)*(degree-1)); - - cell->get_triangulation().get_boundary(cell->material_id()) - .get_intermediate_points_on_quad (cell, quad_points); + get_intermediate_points_on_object (cell->get_manifold(), cell, quad_points); for (unsigned int i=0; i::clone () const } +template +void +MappingQ::get_intermediate_points (const Manifold &manifold, + const std::vector > &surrounding_points, + std::vector > &points) const +{ + Assert(surrounding_points.size() >= 2, ExcMessage("At least 2 surrounding points are required")); + const unsigned int n=points.size(); + Assert(n>0, ExcMessage("You can't ask for 0 intermediate points.")); + std::vector w(surrounding_points.size()); + + switch (surrounding_points.size()) + { + case 2: + { + // If two points are passed, these are the two vertices, and + // we can only compute degree-1 intermediate points. + AssertDimension(n, degree-1); + for (unsigned int i=0; i quadrature(surrounding_points, w); + points[i] = manifold.get_new_point(quadrature); + } + break; + } + + case 4: + { + Assert(spacedim >= 2, ExcImpossibleInDim(spacedim)); + const unsigned m= + static_cast(std::sqrt(static_cast(n))); + // is n a square number + Assert(m*m==n, ExcInternalError()); + + // If four points are passed, these are the two vertices, and + // we can only compute (degree-1)*(degree-1) intermediate + // points. + AssertDimension(m, degree-1); + + for (unsigned int i=0; i quadrature(surrounding_points, w); + points[i*m+j]=manifold.get_new_point(quadrature); + } + } + break; + } + + case 8: + Assert(false, ExcNotImplemented()); + break; + default: + Assert(false, ExcInternalError()); + break; + } +} + // explicit instantiations diff --git a/tests/manifold/spherical_manifold_05.cc b/tests/manifold/spherical_manifold_05.cc new file mode 100644 index 0000000000..ee8708c008 --- /dev/null +++ b/tests/manifold/spherical_manifold_05.cc @@ -0,0 +1,91 @@ +//---------------------------- spherical_manifold_01.cc --------------------------- +// Copyright (C) 2011, 2013 by the mathLab team. +// +// This file is subject to LGPL and may not be distributed +// without copyright and license information. Please refer +// to the file deal.II/doc/license.html for the text and +// further information on this license. +// +//---------------------------- spherical_manifold_04.cc --------------------------- + + +// Test that the flat manifold does what it should on a sphere surface. + +#include "../tests.h" + +#include +#include + + +// all include files you need here +#include + +#include +#include +#include +#include +#include +#include +#include +#include + +#include +#include +#include +#include + +// Helper function +template +void test(unsigned int degree) +{ + deallog << "Testing dim=" << dim <<", degree=" + << degree << std::endl; + + SphericalManifold manifold; + Triangulation tria; + GridGenerator::hyper_shell(tria, Point(), .4, .6, 6); + typename Triangulation::active_cell_iterator cell; + + for(cell = tria.begin_active(); cell != tria.end(); ++cell) + cell->set_all_manifold_ids(1); + + tria.set_manifold(1, manifold); + + MappingQ mapping(degree, true); + FE_Q fe(degree); + DoFHandler dh(tria); + dh.distribute_dofs(fe); + QGaussLobatto quad(degree+1); + + FEValues fe_v(mapping, fe, quad, update_quadrature_points); + + // char fname[50]; + // sprintf(fname, "out_%d_%d.gpl", dim, degree); + // std::ofstream ofile(fname); + std::ostream &ofile = deallog.get_file_stream(); + + for(typename DoFHandler::active_cell_iterator cell = dh.begin_active(); + cell != dh.end(); ++cell) { + fe_v.reinit(cell); + for(unsigned int q=0; q(d); + test<3>(d); + } + return 0; +} + diff --git a/tests/manifold/spherical_manifold_05.output b/tests/manifold/spherical_manifold_05.output new file mode 100644 index 0000000000..cb262e4144 --- /dev/null +++ b/tests/manifold/spherical_manifold_05.output @@ -0,0 +1,1733 @@ + +DEAL::Testing dim=2, degree=1 +0.600000 0.00000 +0.300000 0.519615 +0.400000 0.00000 +0.200000 0.346410 + +0.300000 0.519615 +-0.300000 0.519615 +0.200000 0.346410 +-0.200000 0.346410 + +-0.300000 0.519615 +-0.600000 7.34788e-17 +-0.200000 0.346410 +-0.400000 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