From 27085f9fe50ec3c7870c0a0fcf75e48735da2077 Mon Sep 17 00:00:00 2001 From: Luca Heltai Date: Wed, 6 Aug 2014 14:56:16 +0200 Subject: [PATCH] Added cylindrical Manifold and two tests. --- doc/news/changes.h | 9 + include/deal.II/grid/manifold.h | 16 +- include/deal.II/grid/manifold_lib.h | 66 ++ source/grid/CMakeLists.txt | 1 + source/grid/manifold.cc | 4 +- source/grid/manifold_lib.cc | 81 +- source/grid/manifold_lib.inst.in | 11 +- tests/manifold/cylindrical_manifold_01.cc | 62 ++ tests/manifold/cylindrical_manifold_01.output | 213 ++++++ tests/manifold/cylindrical_manifold_02.cc | 63 ++ tests/manifold/cylindrical_manifold_02.output | 696 ++++++++++++++++++ 11 files changed, 1204 insertions(+), 18 deletions(-) create mode 100644 tests/manifold/cylindrical_manifold_01.cc create mode 100644 tests/manifold/cylindrical_manifold_01.output create mode 100644 tests/manifold/cylindrical_manifold_02.cc create mode 100644 tests/manifold/cylindrical_manifold_02.output diff --git a/doc/news/changes.h b/doc/news/changes.h index 0e92c848cb..d24f09c434 100644 --- a/doc/news/changes.h +++ b/doc/news/changes.h @@ -98,6 +98,15 @@ inconvenience this causes.
    +
  1. New: Added CylindricalManifold descritpion. +
    + This class allows refinement of cylindrical manifolds. It is a good + companion for GridGenerator::cylinder() and the perfect companion + for GridGenerator::cylinder_shell(). +
    + (Luca Heltai, 2014/08/06) +
    2. +
  2. New: Added support for curved interior cells for all Triangulation dimensions.
    diff --git a/include/deal.II/grid/manifold.h b/include/deal.II/grid/manifold.h index 3a8f51d855..b63c4aa981 100644 --- a/include/deal.II/grid/manifold.h +++ b/include/deal.II/grid/manifold.h @@ -298,8 +298,8 @@ public: * to refine, the middle point is not too far from the manifold mid * point, i.e., as long as the coarse mesh size is small enough. */ - virtual Point - get_new_point(const Quadrature &quad) const; + virtual Point + get_new_point(const Quadrature &quad) const; /** @@ -312,6 +312,12 @@ public: virtual Point project_to_manifold (const std::vector > &points, const Point &candidate) const; +protected: + /** + * Tolerance. This tolerance is used to compute distances in double + * precision. Anything below this tolerance is considered zero. + */ + const double tolerance; private: /** @@ -330,12 +336,6 @@ private: */ const Point periodicity; - /** - * Tolerance. This tolerance is used to compute distances in double - * precision. Anything below this tolerance is considered zero. - */ - const double tolerance; - DeclException4(ExcPeriodicBox, int, Point, Point, double, << "The component number " << arg1 << " of the point [ " << arg2 << " ] is not in the interval [ " << -arg4 diff --git a/include/deal.II/grid/manifold_lib.h b/include/deal.II/grid/manifold_lib.h index 654c99ae05..8397511a05 100644 --- a/include/deal.II/grid/manifold_lib.h +++ b/include/deal.II/grid/manifold_lib.h @@ -106,6 +106,72 @@ private: }; +/** + * Cylindrical Manifold description. In three dimensions, points are + * transformed using a cylindrical coordinate system along the + * x-, y- or z-axis (when using the first + * constructor of this class), or an arbitrarily oriented cylinder + * described by the direction of its axis and a point located on the + * axis. + * + * This class was developed to be used in conjunction with the @p + * cylinder or @p cylinder_shell functions of GridGenerator. This + * function will throw an exception whenever spacedim is not equal to + * three. + * + * @ingroup manifold + * + * @author Luca Heltai, 2014 + */ +template +class CylindricalManifold : public FlatManifold +{ +public: + /** + * Constructor. Using default values for the constructor arguments + * yields a cylinder along the x-axis (axis=0). Choose + * axis=1 or axis=2 for a tube along the y- or + * z-axis, respectively. + */ + CylindricalManifold (const unsigned int axis = 0); + + /** + * Constructor. If constructed with this constructor, the manifold + * described is a cylinder with an axis that points in direction + * #direction and goes through the given #point_on_axis. The + * direction may be arbitrarily scaled, and the given point may be + * any point on the axis. + */ + CylindricalManifold (const Point &direction, + const Point &point_on_axis); + + /** + * Compute new points on the CylindricalManifold. See the documentation + * of the base class for a detailed description of what this + * function does. + */ + virtual Point + get_new_point(const Quadrature &quad) const; + +protected: + /** + * The direction vector of the axis. + */ + const Point direction; + + /** + * An arbitrary point on the axis. + */ + const Point point_on_axis; + +private: + /** + * Given a number for the axis, return a vector that denotes this + * direction. + */ + static Point get_axis_vector (const unsigned int axis); +}; + DEAL_II_NAMESPACE_CLOSE #endif diff --git a/source/grid/CMakeLists.txt b/source/grid/CMakeLists.txt index 18e30fe8c7..fff6739c6d 100644 --- a/source/grid/CMakeLists.txt +++ b/source/grid/CMakeLists.txt @@ -44,6 +44,7 @@ SET(_inst grid_tools.inst.in intergrid_map.inst.in manifold.inst.in + manifold_lib.inst.in tria_accessor.inst.in tria_boundary.inst.in tria_boundary_lib.inst.in diff --git a/source/grid/manifold.cc b/source/grid/manifold.cc index 6707cb27ef..b16ab5765f 100644 --- a/source/grid/manifold.cc +++ b/source/grid/manifold.cc @@ -259,8 +259,8 @@ get_new_point_on_hex (const typename Triangulation<3, 3>::hex_iterator &hex) con template FlatManifold::FlatManifold (const Point periodicity, const double tolerance) : - periodicity(periodicity), - tolerance(tolerance) + tolerance(tolerance), + periodicity(periodicity) {} template diff --git a/source/grid/manifold_lib.cc b/source/grid/manifold_lib.cc index 5f0483eee6..efc765ff17 100644 --- a/source/grid/manifold_lib.cc +++ b/source/grid/manifold_lib.cc @@ -125,11 +125,84 @@ SphericalManifold::pull_back(const Point &space_point) c } return p; } + + +// ============================================================ +// CylindricalManifold +// ============================================================ + + +template +Point +CylindricalManifold::get_axis_vector (const unsigned int axis) +{ + Assert (axis < spacedim, ExcIndexRange (axis, 0, spacedim)); + Point axis_vector; + axis_vector[axis] = 1; + return axis_vector; +} + + +template +CylindricalManifold::CylindricalManifold(const unsigned int axis) : + direction (get_axis_vector (axis)), + point_on_axis (Point()) +{ + Assert(spacedim > 1, ExcImpossibleInDim(1)); +} + + +template +CylindricalManifold::CylindricalManifold(const Point &direction, + const Point &point_on_axis) : + direction (direction), + point_on_axis (point_on_axis) +{ + Assert(spacedim > 2, ExcImpossibleInDim(spacedim)); +} + + + + +template +Point +CylindricalManifold:: +get_new_point (const Quadrature &quad) const +{ + const std::vector > &surrounding_points = quad.get_points(); + const std::vector &weights = quad.get_weights(); + + // compute a proposed new point + Point middle = FlatManifold::get_new_point(quad); + + double radius = 0; + Point on_plane; + + for(unsigned int i=0; i vector_from_axis = (middle-point_on_axis) - + ((middle-point_on_axis) * direction) * direction; + + // scale it to the desired length and put everything back together, + // unless we have a point on the axis + if (vector_from_axis.norm() <= this->tolerance * middle.norm()) + return middle; + + else + return (vector_from_axis / vector_from_axis.norm() * radius + + ((middle-point_on_axis) * direction) * direction + + point_on_axis); +} // explicit instantiations -template class SphericalManifold<1,2>; -template class SphericalManifold<2,2>; -template class SphericalManifold<2,3>; -template class SphericalManifold<3,3>; +#include "manifold_lib.inst" DEAL_II_NAMESPACE_CLOSE diff --git a/source/grid/manifold_lib.inst.in b/source/grid/manifold_lib.inst.in index 11bf4195a9..0d3616eb91 100644 --- a/source/grid/manifold_lib.inst.in +++ b/source/grid/manifold_lib.inst.in @@ -15,11 +15,14 @@ // --------------------------------------------------------------------- -for (deal_II_dimension : DIMENSIONS) +for (deal_II_dimension : DIMENSIONS; deal_II_space_dimension : SPACE_DIMENSIONS) { - template class PolarManifold; - template class CylinderManifold; -// template class ConeBoundary; +#if deal_II_space_dimension > 1 && deal_II_dimension <= deal_II_space_dimension + template class SphericalManifold; +#endif +#if deal_II_dimension <= deal_II_space_dimension + template class CylindricalManifold; +#endif } diff --git a/tests/manifold/cylindrical_manifold_01.cc b/tests/manifold/cylindrical_manifold_01.cc new file mode 100644 index 0000000000..62387251e3 --- /dev/null +++ b/tests/manifold/cylindrical_manifold_01.cc @@ -0,0 +1,62 @@ +//---------------------------- cylindrical_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. +// +//---------------------------- cylindrical_manifold_01.cc --------------------------- + + +// Test cylindrical manifold on a cylinder + +#include "../tests.h" +#include +#include + + +// all include files you need here +#include +#include +#include +#include +#include +#include +#include + +// Helper function +template +void test(unsigned int ref=1) +{ + deallog << "Testing dim " << dim + << ", spacedim " << spacedim << std::endl; + + CylindricalManifold manifold; + + Triangulation tria; + GridGenerator::cylinder (tria); + + for(auto cell = tria.begin_active(); cell != tria.end(); ++cell) { + cell->set_all_manifold_ids(1); + } + + tria.set_manifold(1, manifold); + tria.refine_global(1); + + GridOut gridout; + gridout.write_msh(tria, deallog.get_file_stream()); +} + +int main () +{ + std::ofstream logfile("output"); + deallog.attach(logfile); + deallog.depth_console(0); + deallog.threshold_double(1.e-10); + + test<3,3>(); + + return 0; +} + diff --git a/tests/manifold/cylindrical_manifold_01.output b/tests/manifold/cylindrical_manifold_01.output new file mode 100644 index 0000000000..637a2feb5f --- /dev/null +++ b/tests/manifold/cylindrical_manifold_01.output @@ -0,0 +1,213 @@ + +DEAL::Testing dim 3, spacedim 3 +$NOD +125 +1 -1.00000 0.707107 -0.707107 +2 -1.00000 -0.707107 -0.707107 +3 -1.00000 0.292893 -0.292893 +4 -1.00000 -0.292893 -0.292893 +5 -1.00000 0.292893 0.292893 +6 -1.00000 -0.292893 0.292893 +7 -1.00000 0.707107 0.707107 +8 -1.00000 -0.707107 0.707107 +9 0.00000 0.707107 -0.707107 +10 0.00000 -0.707107 -0.707107 +11 0.00000 0.292893 -0.292893 +12 0.00000 -0.292893 -0.292893 +13 0.00000 0.292893 0.292893 +14 0.00000 -0.292893 0.292893 +15 0.00000 0.707107 0.707107 +16 0.00000 -0.707107 0.707107 +17 1.00000 0.707107 -0.707107 +18 1.00000 -0.707107 -0.707107 +19 1.00000 0.292893 -0.292893 +20 1.00000 -0.292893 -0.292893 +21 1.00000 0.292893 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Please refer +// to the file deal.II/doc/license.html for the text and +// further information on this license. +// +//---------------------------- cylindrical_manifold_01.cc --------------------------- + + +// Test cylindrical manifold on cylinder shells. + +#include "../tests.h" +#include +#include + + +// all include files you need here +#include +#include +#include +#include +#include +#include +#include + +// Helper function +template +void test(unsigned int ref=1) +{ + deallog << "Testing dim " << dim + << ", spacedim " << spacedim << std::endl; + + // Here the only allowed axis is z. In cylinder the default is x. + CylindricalManifold manifold(2); + + Triangulation tria; + GridGenerator::cylinder_shell (tria, .5, .1, .25); + + for(auto cell = tria.begin_active(); cell != tria.end(); ++cell) { + cell->set_all_manifold_ids(1); + } + + tria.set_manifold(1, manifold); + tria.refine_global(1); + + GridOut gridout; + gridout.write_msh(tria, deallog.get_file_stream()); +} + +int main () +{ + std::ofstream logfile("output"); + deallog.attach(logfile); + deallog.depth_console(0); + deallog.threshold_double(1.e-10); + + test<3,3>(); + + return 0; +} + diff --git a/tests/manifold/cylindrical_manifold_02.output b/tests/manifold/cylindrical_manifold_02.output new file mode 100644 index 0000000000..42e27553e6 --- /dev/null +++ b/tests/manifold/cylindrical_manifold_02.output @@ -0,0 +1,696 @@ + +DEAL::Testing dim 3, spacedim 3 +$NOD +432 +1 0.250000 0.00000 0.00000 +2 0.176777 0.176777 0.00000 +3 1.53081e-17 0.250000 0.00000 +4 -0.176777 0.176777 0.00000 +5 -0.250000 3.06162e-17 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