From: bangerth <bangerth@0785d39b-7218-0410-832d-ea1e28bc413d>
Date: Wed, 27 Jun 2012 12:54:01 +0000 (+0000)
Subject: Fix yet another bug in VectorTools::no_normal_flux when dealing with fluxes that... 
X-Git-Url: https://gitweb.dealii.org/cgi-bin/gitweb.cgi?a=commitdiff_plain;h=a97d2f0899d8adb06894a3ec1c9514c904721e84;p=dealii-svn.git

Fix yet another bug in VectorTools::no_normal_flux when dealing with fluxes that are tangential to *two* adjacent faces. This can only possibly have worked before if these faces where parallel to at least one coordinate axes :-(

git-svn-id: https://svn.dealii.org/trunk@25649 0785d39b-7218-0410-832d-ea1e28bc413d
---

diff --git a/deal.II/doc/news/changes.h b/deal.II/doc/news/changes.h
index 48cab3d81b..b998e7f4a8 100644
--- a/deal.II/doc/news/changes.h
+++ b/deal.II/doc/news/changes.h
@@ -47,6 +47,13 @@ used for boundary indicators.
 
 
 <ol>
+<li> Fixed: The function VectorTools::compute_no_normal_flux_constraints had
+a bug that led to an exception whenever we were computing constraints for
+vector fields located on edges shared between two faces of a 3d cell if those
+faces were not parallel to the axes of the coordinate system. This is now fixed.
+<br>
+(Wolfgang Bangerth, Jennifer Worthen, 2012/06/27)
+
 <li>
 Fixed: Due to an apparent bug in autoconf, it was not possible to
 override the <code>F77</code> environment variable to select anything
diff --git a/deal.II/include/deal.II/numerics/vectors.templates.h b/deal.II/include/deal.II/numerics/vectors.templates.h
index 941af268f5..908df25d49 100644
--- a/deal.II/include/deal.II/numerics/vectors.templates.h
+++ b/deal.II/include/deal.II/numerics/vectors.templates.h
@@ -2585,7 +2585,65 @@ namespace VectorTools
           default:
                 Assert (false, ExcNotImplemented());
         }
+    }
+
 
+                                     /**
+                                      * Add the constraint $\vec u \|
+                                      * \vec t$ to the list of
+                                      * constraints. In 2d, this is a
+                                      * single constraint, in 3d these
+                                      * are two constraints
+                                      *
+                                      * Here, $\vec u$ is represented
+                                      * by the set of given DoF
+                                      * indices, and $\vec t$ by the
+                                      * vector specified as the second
+                                      * argument.
+                                      *
+                                      * The function does not add constraints
+                                      * if a degree of freedom is already
+                                      * constrained in the constraints object.
+                                      */
+    template <int dim>
+    void
+    add_tangentiality_constraints (const VectorDoFTuple<dim> &dof_indices,
+				   const Tensor<1,dim>       &tangent_vector,
+				   ConstraintMatrix          &constraints)
+    {
+
+                                       // choose the DoF that has the
+                                       // largest component in the
+                                       // tangent_vector as the
+                                       // independent component, and
+                                       // then constrain the others to
+                                       // it. specifically, if, say,
+                                       // component 0 of the tangent
+                                       // vector t is largest by
+                                       // magnitude, then
+                                       // x1=t[1]/t[0]*x_0, etc.
+      unsigned int largest_component = 0;
+      for (unsigned int d=1; d<dim; ++d)
+	if (std::fabs(tangent_vector[d]) > std::fabs(tangent_vector[largest_component]) + 1e-10)
+	  largest_component = d;
+
+				       // then constrain all of the
+				       // other degrees of freedom in
+				       // terms of the one just found
+      for (unsigned int d=0; d<dim; ++d)
+	if (d != largest_component)
+	  if (!constraints.is_constrained(dof_indices.dof_indices[d])
+	      &&
+	      constraints.can_store_line(dof_indices.dof_indices[d]))
+	    {
+	      constraints.add_line (dof_indices.dof_indices[d]);
+
+	      if (std::fabs (tangent_vector[d]/tangent_vector[largest_component])
+		  > std::numeric_limits<double>::epsilon())
+		constraints.add_entry (dof_indices.dof_indices[d],
+				       dof_indices.dof_indices[largest_component],
+				       tangent_vector[d]/tangent_vector[largest_component]);
+	    }
     }
 
 
@@ -4182,9 +4240,9 @@ namespace VectorTools
   }
 
 
+
   template <int dim, template <int, int> class DH, int spacedim>
   void
-
   compute_no_normal_flux_constraints (const DH<dim,spacedim>         &dof_handler,
                                       const unsigned int     first_vector_component,
                                       const std::set<types::boundary_id_t> &boundary_ids,
@@ -4812,35 +4870,16 @@ namespace VectorTools
                 average_tangent += *t;
               average_tangent /= average_tangent.norm();
 
-                                               // from the tangent
-                                               // vector we now need to
-                                               // again reconstruct dim-1
-                                               // normal directions in
-                                               // which the vector field
-                                               // is to be constrained
-              Tensor<1,dim> constraining_normals[dim-1];
-              internal::
-                compute_orthonormal_vectors<dim> (average_tangent,
-                                                  constraining_normals);
-                                               // normalize again
-              for (unsigned int e=0; e<dim-1; ++e)
-                {
-                  for (unsigned int d=0; d<dim; ++d)
-                    if (std::fabs(constraining_normals[e][d]) < 1e-13)
-                      constraining_normals[e][d] = 0;
-                  constraining_normals[e] /= constraining_normals[e].norm();
-                }
-
                                                // now all that is left
                                                // is that we add the
-                                               // constraints for these
-                                               // dim-1 vectors
+                                               // constraints that the
+                                               // vector is parallel
+                                               // to the tangent
               const internal::VectorDoFTuple<dim> &
                 dof_indices = same_dof_range[0]->first;
-              for (unsigned int c=0; c<dim-1; ++c)
-                internal::add_constraint (dof_indices,
-                                          constraining_normals[c],
-                                          constraints);
+	      internal::add_tangentiality_constraints (dof_indices,
+						       average_tangent,
+						       constraints);
             }
           }
       }
diff --git a/tests/deal.II/no_flux_07/cmp/generic b/tests/deal.II/no_flux_07/cmp/generic
index 1109ca2ea3..072ac0f0bb 100644
--- a/tests/deal.II/no_flux_07/cmp/generic
+++ b/tests/deal.II/no_flux_07/cmp/generic
@@ -39,14 +39,14 @@
     44 = 0
     46 = 0
     47 = 0
-    49 = 0
     48 50:  0.500000
-    52 = 0
+    49 = 0
     51 53:  0.500000
-    55 = 0
+    52 = 0
     54 56:  0.500000
-    58 = 0
+    55 = 0
     57 59:  0.500000
+    58 = 0
     60 62:  0.500000
     63 65:  0.500000
     67 = 0
diff --git a/tests/deal.II/no_flux_09/cmp/generic b/tests/deal.II/no_flux_09/cmp/generic
index 1ac20abe9d..0f18ef7101 100644
--- a/tests/deal.II/no_flux_09/cmp/generic
+++ b/tests/deal.II/no_flux_09/cmp/generic
@@ -1,10 +1,10 @@
 
     2 = 0
     5 = 0
-    8 = 0
     7 6:  -0.4142
-    11 9:  1.0000
-    11 10:  1.0000
+    8 = 0
+    10 9:  -1.0000
+    11 = 0
     19 18:  -0.4889
     19 20:  -0.9881
     22 21:  -1.0000
diff --git a/tests/deal.II/no_flux_10.cc b/tests/deal.II/no_flux_10.cc
index 39ed06e0d8..a1bb12929d 100644
--- a/tests/deal.II/no_flux_10.cc
+++ b/tests/deal.II/no_flux_10.cc
@@ -31,46 +31,16 @@
 #include <grid/tria.h>
 #include <grid/grid_generator.h>
 #include <grid/tria_boundary_lib.h>
+#include <grid/grid_out.h>
 #include <dofs/dof_handler.h>
 #include <fe/fe_system.h>
-#include <fe/mapping_q1.h>
+#include <fe/mapping_q.h>
 #include <numerics/vectors.h>
 #include <numerics/data_out.h>
 #include <base/exceptions.h>
 #include <base/function.h>
 
 
-template <int dim>
-static void
-colorize_sixty_deg_hyper_shell(Triangulation<dim> & tria,
-			       const Point<dim>& center,
-			       const double inner_radius,
-			       const double outer_radius);
-
-template<int dim>
-static void sixty_deg_hyper_shell (Triangulation<dim>   &tria,
-				   const Point<dim>     &center,
-				   const double        inner_radius,
-				   const double        outer_radius,
-				   const unsigned int  n_cells = 0,
-				   const bool colorize = false);
-
-template <int dim>
-class SixtyDegHyperShellBoundary : public HyperShellBoundary<dim>
-{
-  public:
-
-    SixtyDegHyperShellBoundary (const Point<dim> &center,
-				const double inner_radius,
-				const double outer_radius);
-
-  private:
-    const double inner_radius;
-    const double outer_radius;
-};
-
-// Implementation for 3D only
-template <>
 void
 colorize_sixty_deg_hyper_shell(Triangulation<3> & tria,
 			       const Point<3>& center,
@@ -145,73 +115,44 @@ colorize_sixty_deg_hyper_shell(Triangulation<3> & tria,
       }
 }
 
-// Implementation for 3D only
-template <>
 void sixty_deg_hyper_shell (Triangulation<3> & tria,
 			    const Point<3>& center,
 			    const double inner_radius,
-			    const double outer_radius,
-			    const unsigned int n,
-			    const bool colorize)
+			    const double outer_radius)
 {
-				   //  Assert ((inner_radius > 0) && (inner_radius < outer_radius),
-				   //          ExcInvalidRadii ());
-  if (n == 0 || n == 2)
-    {
-      const double r0 = inner_radius;
-      const double r1 = outer_radius;
-
-      std::vector<Point<3> > vertices;
-
-      vertices.push_back (center+Point<3>( 1.0/sqrt(5.)*r0, 1.0/sqrt(5.)*r0, sqrt(3./5.)*r0));   //8 -> 0
-      vertices.push_back (center+Point<3>( 1.0/sqrt(5.)*r1, 1.0/sqrt(5.)*r1, sqrt(3./5.)*r1));   //9 -> 1
-      vertices.push_back (center+Point<3>( 1.0/sqrt(5.)*r0, -1.0/sqrt(5.)*r0, sqrt(3./5.)*r0));  //10 -> 2
-      vertices.push_back (center+Point<3>( 1.0/sqrt(5.)*r1, -1.0/sqrt(5.)*r1, sqrt(3./5.)*r1));  //11 -> 3
-      vertices.push_back (center+Point<3>( -1.0/sqrt(5.)*r0, 1.0/sqrt(5.)*r0, sqrt(3./5.)*r0));  //14 -> 4
-      vertices.push_back (center+Point<3>( -1.0/sqrt(5.)*r1, 1.0/sqrt(5.)*r1, sqrt(3./5.)*r1));  //15 -> 5
-      vertices.push_back (center+Point<3>( -1.0/sqrt(5.)*r0, -1.0/sqrt(5.)*r0, sqrt(3./5.)*r0)); //16 -> 6
-      vertices.push_back (center+Point<3>( -1.0/sqrt(5.)*r1, -1.0/sqrt(5.)*r1, sqrt(3./5.)*r1)); //17 -> 7
-
-      const int cell_vertices[1][8] = {
-	    {6, 2, 4, 0, 7, 3, 5, 1},
-      };
-
-      std::vector<CellData<3> > cells(1);
-
-      for (unsigned int i=0; i<1; ++i)
-        {
-          for (unsigned int j=0; j<8; ++j)
-            cells[i].vertices[j] = cell_vertices[i][j];
-          cells[i].material_id = 0;
-        }
-
-      tria.create_triangulation ( vertices, cells, SubCellData());      // no boundary information
-    }
-  else
+  const double r0 = inner_radius;
+  const double r1 = outer_radius;
+
+  std::vector<Point<3> > vertices;
+
+  vertices.push_back (center+Point<3>( 1.0/sqrt(5.)*r0, 1.0/sqrt(5.)*r0, sqrt(3./5.)*r0));   //8 -> 0
+  vertices.push_back (center+Point<3>( 1.0/sqrt(5.)*r1, 1.0/sqrt(5.)*r1, sqrt(3./5.)*r1));   //9 -> 1
+  vertices.push_back (center+Point<3>( 1.0/sqrt(5.)*r0, -1.0/sqrt(5.)*r0, sqrt(3./5.)*r0));  //10 -> 2
+  vertices.push_back (center+Point<3>( 1.0/sqrt(5.)*r1, -1.0/sqrt(5.)*r1, sqrt(3./5.)*r1));  //11 -> 3
+  vertices.push_back (center+Point<3>( -1.0/sqrt(5.)*r0, 1.0/sqrt(5.)*r0, sqrt(3./5.)*r0));  //14 -> 4
+  vertices.push_back (center+Point<3>( -1.0/sqrt(5.)*r1, 1.0/sqrt(5.)*r1, sqrt(3./5.)*r1));  //15 -> 5
+  vertices.push_back (center+Point<3>( -1.0/sqrt(5.)*r0, -1.0/sqrt(5.)*r0, sqrt(3./5.)*r0)); //16 -> 6
+  vertices.push_back (center+Point<3>( -1.0/sqrt(5.)*r1, -1.0/sqrt(5.)*r1, sqrt(3./5.)*r1)); //17 -> 7
+
+  const int cell_vertices[1][8] = {
+	{6, 2, 4, 0, 7, 3, 5, 1},
+  };
+
+  std::vector<CellData<3> > cells(1);
+
+  for (unsigned int i=0; i<1; ++i)
     {
-      AssertThrow(false, ExcNotImplemented());
+      for (unsigned int j=0; j<8; ++j)
+	cells[i].vertices[j] = cell_vertices[i][j];
+      cells[i].material_id = 0;
     }
 
-  if (colorize)
-    colorize_sixty_deg_hyper_shell(tria, center, inner_radius, outer_radius);
-}
+  tria.create_triangulation ( vertices, cells, SubCellData());      // no boundary information
 
-template<int dim>
-SixtyDegHyperShellBoundary<dim>::SixtyDegHyperShellBoundary (const Point<dim> &center,
-							     const double inner_radius,
-							     const double outer_radius)
-                :
-                HyperShellBoundary<dim> (center),
-                inner_radius (inner_radius),
-                outer_radius (outer_radius)
-{
-  if (dim > 2)
-    Assert ((inner_radius >= 0) &&
-            (outer_radius > 0) &&
-            (outer_radius > inner_radius),
-            ExcMessage ("Inner and outer radii must be specified explicitly in 3d."));
+  colorize_sixty_deg_hyper_shell(tria, center, inner_radius, outer_radius);
 }
 
+
 template <int dim>
 void run()
 {
@@ -223,18 +164,29 @@ void run()
   sixty_deg_hyper_shell (triangulation,
 			 Point<dim>(),
 			 0.5,
-			 1.0,
-			 2,
-			 true);
+			 1.0);
 
-  static SixtyDegHyperShellBoundary<dim> boundary(Point<dim>(),
-						  0.5,
-						  1.0);
+  static HyperShellBoundary<dim> boundary((Point<dim>()));
   triangulation.set_boundary (0, boundary);
-  triangulation.set_boundary (1, boundary);
+
+				   // write out the mesh. may not be
+				   // strictly necessary here, but is
+				   // a good test for functionality
+				   // that may not actually be tested
+				   // anywhere else
+  MappingQ<3> m(4);
+  GridOut go;
+  GridOutFlags::Gnuplot gof;
+  gof.n_boundary_face_points = 6;
+  go.set_flags (gof);
+  go.write_gnuplot (triangulation, deallog.get_file_stream(), &m);
 
   dof_handler.distribute_dofs (fe);
 
+  for (unsigned int f=0; f<6; ++f)
+    deallog << "Face=" << f << ", boundary_id="
+	    << (int)triangulation.begin_active()->face(f)->boundary_indicator() << std::endl;
+
   std::set<unsigned char> no_normal_flux_boundaries;
   no_normal_flux_boundaries.insert (0);
   no_normal_flux_boundaries.insert (2);
@@ -243,9 +195,10 @@ void run()
      no_normal_flux_boundaries,
      constraints);
 
-  constraints.close();
   constraints.print(deallog.get_file_stream());
 
+  deallog.get_file_stream() << std::flush;
+  constraints.close();
 
   deallog << "OK" << std::endl;
 }
diff --git a/tests/deal.II/no_flux_10/cmp/generic b/tests/deal.II/no_flux_10/cmp/generic
index 1ac20abe9d..33b19bd8cf 100644
--- a/tests/deal.II/no_flux_10/cmp/generic
+++ b/tests/deal.II/no_flux_10/cmp/generic
@@ -1,22 +1,2076 @@
 
-    2 = 0
-    5 = 0
-    8 = 0
-    7 6:  -0.4142
-    11 9:  1.0000
-    11 10:  1.0000
-    19 18:  -0.4889
-    19 20:  -0.9881
-    22 21:  -1.0000
-    22 23:  -0.8648
-    25 = 0
-    26 = 0
-    27 = 0
-    28 = 0
-    29 = 0
-    31 = 0
-    34 = 0
-    35 33:  -1.0000
-    37 = 0
-    40 = 0
-    41 39:  -0.4142
+-0.2236 -0.2236 0.3873 0 0
+-0.2556 -0.2556 0.4426 0 0
+-0.2583 -0.1831 0.4473 0 0
+-0.2364 -0.1626 0.4095 0 0
+-0.2236 -0.2236 0.3873 0 0
+
+
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+-0.2364 -0.1626 0.4095 0 0
+
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+-0.2451 -0.0987 0.4245 0 0
+
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+
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+
+
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+
+
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+
+
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+
+
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+
+
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+
+
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+
+
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+0.3194 0.3194 0.7746 0 0
+
+
+DEAL::Face=0, boundary_id=3
+DEAL::Face=1, boundary_id=2
+DEAL::Face=2, boundary_id=5
+DEAL::Face=3, boundary_id=4
+DEAL::Face=4, boundary_id=0
+DEAL::Face=5, boundary_id=1
+    2 0:  0.5774
+    2 1:  0.5774
+    3 4:  0.2500
+    5 4:  0.4330
+    8 6:  0.5774
+    8 7:  -0.5774
+    9 10:  -0.2500
+    11 10:  -0.4330
+    15 17:  0.5774
+    21 23:  0.5774
+DEAL::OK