Add GridGenerator::eccentric_hyper_shell

Add an eccentric hyper shell geometry that is formed by two spheres
with different center points.

diff --git a/doc/news/changes/minor/20190808MelanieGerault b/doc/news/changes/minor/20190808MelanieGerault
new file mode 100644 (file)
index 0000000..d4db19c
--- /dev/null
+++ b/doc/news/changes/minor/20190808MelanieGerault
@@ -0,0 +1,3 @@
+Added: GridGenerator::eccentric_hyper_shell() a volume contained between two circles or spheres centered around two different points. 
+<br>
+(Melanie Gerault, 2019/08/08)

diff --git a/include/deal.II/grid/grid_generator.h b/include/deal.II/grid/grid_generator.h
index fe2dc7649737b25fc96942c67b1c87d87f891f9a..6612b08df4dced7ec8a0c001a3b49f0d7345abc7 100644 (file)
--- a/include/deal.II/grid/grid_generator.h
+++ b/include/deal.II/grid/grid_generator.h
@@ -957,6 +957,40 @@ namespace GridGenerator
               const unsigned int  n_cells  = 0,
               bool                colorize = false);
 
+  /**
+   * Produce an eccentric hyper-shell, the region between two spheres centered
+   * on two distinct center points. One has to specify the <tt>inner_center</tt>
+   * and <tt>outer_center</tt>, with given <tt>inner_radius</tt> and
+   * <tt>outer_radius</tt>. The number <tt>n_cells</tt> indicates the number of
+   * cells of the resulting triangulation, i.e., how many cells form the ring
+   * (in 2d) or the shell (in 3d).
+   *
+   * By default, the outer boundary has the indicator 1 while the inner boundary
+   * has id 0. In 3d, this applies to both the faces and the edges of these
+   * boundaries.
+   *
+   * A SphericalManifold is attached to the outer boundary with an id of 1 while
+   * another SphericalManifold is attached to the inner boundary with an id of
+   * 0. A TransfiniteInterpolationManifold is attached to all other cells and
+   * faces of the triangulation with an id of 2.
+   *
+   * Here, the number <tt>n_cells</tt> of elements has the same meaning as in
+   * GridGenerator::hyper_shell.
+   *
+   * @note This function is declared to exist for triangulations of all space
+   * dimensions, but throws an error if called in 1d.
+   *
+   * @note The triangulation passed as argument needs to be empty when calling this function.
+   */
+  template <int dim>
+  void
+  eccentric_hyper_shell(Triangulation<dim> &triangulation,
+                        const Point<dim> &  inner_center,
+                        const Point<dim> &  outer_center,
+                        const double        inner_radius,
+                        const double        outer_radius,
+                        const unsigned int  n_cells);
+
   /**
    * Produce a half hyper-shell, i.e. the space between two circles in two
    * space dimensions and the region between two spheres in 3d, with given

diff --git a/source/grid/grid_generator.cc b/source/grid/grid_generator.cc
index 283b553aa00f19c31ec4fe9f00a4f19b9bfaff16..83ef28df0882626ded266d78e4f641eb36d3d2ac 100644 (file)
--- a/source/grid/grid_generator.cc
+++ b/source/grid/grid_generator.cc
@@ -146,7 +146,7 @@ namespace GridGenerator
       // data, we do this only based on
       // topology.
 
-      // For the mesh based on  cube,
+      // For the mesh based on cube,
       // this is highly irregular
       for (Triangulation<2>::cell_iterator cell = tria.begin();
            cell != tria.end();
@@ -2662,7 +2662,6 @@ namespace GridGenerator
     Assert(false, ExcNotImplemented());
   }
 
-
   template <>
   void cylinder_shell(Triangulation<1> &,
                       const double,
@@ -3005,6 +3004,58 @@ namespace GridGenerator
   }
 
 
+
+  template <int dim>
+  void
+  eccentric_hyper_shell(Triangulation<dim> &tria,
+                        const Point<dim> &  inner_center,
+                        const Point<dim> &  outer_center,
+                        const double        inner_radius,
+                        const double        outer_radius,
+                        const unsigned int  n_cells)
+  {
+    GridGenerator::hyper_shell(
+      tria, outer_center, inner_radius, outer_radius, n_cells, true);
+
+    // check the consistency of the dimensions provided
+    Assert(
+      outer_radius - inner_radius > outer_center.distance(inner_center),
+      ExcInternalError(
+        "The inner radius is greater than or equal to the outer radius plus eccentricity."));
+
+    // shift nodes along the inner boundary according to the position of
+    // inner_circle
+    std::set<Point<dim> *> vertices_to_move;
+
+    for (const auto &face : tria.active_face_iterators())
+      if (face->boundary_id() == 0)
+        for (unsigned int v = 0; v < GeometryInfo<dim>::vertices_per_face; ++v)
+          vertices_to_move.insert(&face->vertex(v));
+
+    const auto shift = inner_center - outer_center;
+    for (const auto &p : vertices_to_move)
+      (*p) += shift;
+
+    // the original hyper_shell function assigns the same manifold id
+    // to all cells and faces. Set all manifolds ids to a different
+    // value (2), then use boundary ids to assign different manifolds to
+    // the inner (0) and outer manifolds (1). Use a transfinite manifold
+    // for all faces and cells aside from the boundaries.
+    tria.set_all_manifold_ids(2);
+    GridTools::copy_boundary_to_manifold_id(tria);
+
+    SphericalManifold<dim> inner_manifold(inner_center);
+    SphericalManifold<dim> outer_manifold(outer_center);
+
+    TransfiniteInterpolationManifold<dim> transfinite;
+    transfinite.initialize(tria);
+
+    tria.set_manifold(0, inner_manifold);
+    tria.set_manifold(1, outer_manifold);
+    tria.set_manifold(2, transfinite);
+  }
+
+
   // Implementation for 2D only
   template <>
   void cylinder(Triangulation<2> &tria,

diff --git a/source/grid/grid_generator.inst.in b/source/grid/grid_generator.inst.in
index f07d7ab060ff4e1a7c34afe57188f907042a35ca..6488b904e1088a960f3866fdf1a6d9f73386f1d8 100644 (file)
--- a/source/grid/grid_generator.inst.in
+++ b/source/grid/grid_generator.inst.in
@@ -201,6 +201,14 @@ for (deal_II_dimension : DIMENSIONS)
                               const unsigned int,
                               const bool);
 
+      template void
+      eccentric_hyper_shell(Triangulation<deal_II_dimension> &,
+                            const Point<deal_II_dimension> &,
+                            const Point<deal_II_dimension> &,
+                            const double,
+                            const double,
+                            const unsigned int);
+
     \}
   }
 

diff --git a/tests/grid/grid_generator_eccentric_hyper_shell.cc b/tests/grid/grid_generator_eccentric_hyper_shell.cc
new file mode 100644 (file)
index 0000000..8c82fac
--- /dev/null
+++ b/tests/grid/grid_generator_eccentric_hyper_shell.cc
@@ -0,0 +1,69 @@
+// ---------------------------------------------------------------------
+//
+// Copyright (C) 2005 - 2019 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.md at
+// the top level directory of deal.II.
+//
+// ---------------------------------------------------------------------
+
+
+
+// Test GridGenerator::eccentric_hyper_shell
+
+#include <deal.II/base/tensor.h>
+
+#include <deal.II/grid/grid_generator.h>
+#include <deal.II/grid/grid_out.h>
+#include <deal.II/grid/grid_tools.h>
+#include <deal.II/grid/manifold_lib.h>
+#include <deal.II/grid/tria.h>
+#include <deal.II/grid/tria_accessor.h>
+#include <deal.II/grid/tria_iterator.h>
+
+#include "../tests.h"
+
+
+
+template <int dim>
+void
+test(std::ostream &out)
+{
+  Triangulation<dim> triangulation;
+
+  const Point<dim> outer_center;
+  Point<dim>       inner_center;
+  inner_center[0]           = 0.2;
+  const double inner_radius = 0.5;
+  const double outer_radius = 1.0;
+
+  GridGenerator::eccentric_hyper_shell(triangulation,
+                                       inner_center,
+                                       outer_center,
+                                       inner_radius,
+                                       outer_radius,
+                                       dim == 2 ? 10 : 12);
+
+  triangulation.refine_global(1);
+
+  GridOut go;
+  deallog.get_file_stream() << "Output mesh for dim = " << dim << std::endl
+                            << std::endl;
+  go.write_gnuplot(triangulation, out);
+}
+
+
+int
+main()
+{
+  initlog();
+
+  test<2>(deallog.get_file_stream());
+  test<3>(deallog.get_file_stream());
+}

diff --git a/tests/grid/grid_generator_eccentric_hyper_shell.output b/tests/grid/grid_generator_eccentric_hyper_shell.output
new file mode 100644 (file)
index 0000000..6da8447
--- /dev/null
+++ b/tests/grid/grid_generator_eccentric_hyper_shell.output
@@ -0,0 +1,2589 @@
+
+Output mesh for dim = 2
+
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