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tutorial/t12.geo

@@ -2,7 +2,7 @@
  *
  *  Gmsh tutorial 12
  * 
- *  Remeshing with compounds
+ *  Remeshing STL with compounds
  *
  *********************************************************************/
 

tutorial/t13.geo

 /********************************************************************* 
  *
  *  Gmsh tutorial 13
- *
- *  Homology computation
+ * 
+ *  Cross-patch meshing with compounds
  *
  *********************************************************************/
- 
-// Homology computation in Gmsh finds representative chains of
-// (relative) homology spaces using a mesh of a model. Those
-// representatives generate the (relative) homology spaces of the
-// model. Alternatively, Gmsh can only look for the ranks of the
-// (relative) homology spaces, the Betti numbers of the model.
-
-// The generators chains are stored in a given .msh-file as physical
-// groups, whose mesh elements are oriented such that their
-// coefficients are 1 in the generator chain.
-
-// Create an example geometry
-
-m = 0.5; // mesh characteristic length
-h = 2; // height in the z-direction
-
-Point(1) = {0, 0, 0, m};   Point(2) = {10, 0, 0, m};
-Point(3) = {10, 10, 0, m}; Point(4) = {0, 10, 0, m};
-Point(5) = {4, 4, 0, m};   Point(6) = {6, 4, 0, m};
-Point(7) = {6, 6, 0, m};   Point(8) = {4, 6, 0, m};
-
-Point(9) = {2, 0, 0, m};   Point(10) = {8, 0, 0, m};
-Point(11) = {2, 10, 0, m}; Point(12) = {8, 10, 0, m};
-
-Line(1) = {1, 9};  Line(2) = {9, 10}; Line(3) = {10, 2};
-Line(4) = {2, 3};  Line(5) = {3, 12}; Line(6) = {12, 11};
-Line(7) = {11, 4}; Line(8) = {4, 1};  Line(9) = {5, 6};
-Line(10) = {6, 7}; Line(11) = {7, 8}; Line(12) = {8, 5};
-
-Line Loop(13) = {6, 7, 8, 1, 2, 3, 4, 5};
-Line Loop(14) = {11, 12, 9, 10};
-Plane Surface(15) = {13, 14};
-
-Extrude {0, 0, h}{ Surface{15}; }
-
-// Create physical groups, which are used to define the domain of the
-// homology computation and the subdomain of the relative homology
-// computation.
-
-// Whole domain
-Physical Volume(1) = {1};
-
-// Four "terminals" of the model
-Physical Surface(70) = {36};
-Physical Surface(71) = {44};
-Physical Surface(72) = {52};
-Physical Surface(73) = {60};
-
-// Whole domain surface
-bnd[] = Boundary{ Volume{1}; };
-Physical Surface(80) = bnd[];
-
-// Complement of the domain surface respect to the four terminals
-bnd[] -= {36, 44, 52, 60};
-Physical Surface(75) = bnd[];
-
-// Create a mesh of the model
-Mesh 3;
-
-// Find generators of relative homology spaces of the domain modulo
-// the four terminals.  Save the generator chains to t13_hom.msh.
-HomGen("t13_hom.msh") = {{1}, {70, 71, 72, 73}};
-
-// Find the corresponding thin cuts, generators of relative homology
-// spaces modulo the non-terminal domain surface.  Save the cut chains
-// to t13_hom.msh.
-HomGen("t13_hom.msh") = {{1}, {75}};
 
-// Find the corresponding thick cuts.  Save the cut chains to
-// t13_hom.msh.
-HomCut("t13_hom.msh") = {{1}, {70, 71, 72, 73}};
+// Compound geometrical entities can be defined to compute a new
+// parametrization of groups of elementary geometrical entities. This
+// parametrization can then be used for remeshing the compound as if
+// it were a CAD entity.
 
-// More examples:
-//  HomGen("t13_hom.msh") = {{1}, {}}; 
-//  HomGen("t13_hom.msh") = {{}, {}};
-//  HomGen("t13_hom.msh") = {{1}, {80}}; 
-//  HomGen("t13_hom.msh") = {{}, {80}}; 

tutorial/t14.geo

+/********************************************************************* 
+ *
+ *  Gmsh tutorial 14
+ *
+ *  Homology computation
+ *
+ *********************************************************************/
+ 
+// Homology computation in Gmsh finds representative chains of
+// (relative) homology spaces using a mesh of a model. Those
+// representatives generate the (relative) homology spaces of the
+// model. Alternatively, Gmsh can only look for the ranks of the
+// (relative) homology spaces, the Betti numbers of the model.
+
+// The generators chains are stored in a given .msh-file as physical
+// groups, whose mesh elements are oriented such that their
+// coefficients are 1 in the generator chain.
+
+// Create an example geometry
+
+m = 0.5; // mesh characteristic length
+h = 2; // height in the z-direction
+
+Point(1) = {0, 0, 0, m};   Point(2) = {10, 0, 0, m};
+Point(3) = {10, 10, 0, m}; Point(4) = {0, 10, 0, m};
+Point(5) = {4, 4, 0, m};   Point(6) = {6, 4, 0, m};
+Point(7) = {6, 6, 0, m};   Point(8) = {4, 6, 0, m};
+
+Point(9) = {2, 0, 0, m};   Point(10) = {8, 0, 0, m};
+Point(11) = {2, 10, 0, m}; Point(12) = {8, 10, 0, m};
+
+Line(1) = {1, 9};  Line(2) = {9, 10}; Line(3) = {10, 2};
+Line(4) = {2, 3};  Line(5) = {3, 12}; Line(6) = {12, 11};
+Line(7) = {11, 4}; Line(8) = {4, 1};  Line(9) = {5, 6};
+Line(10) = {6, 7}; Line(11) = {7, 8}; Line(12) = {8, 5};
+
+Line Loop(13) = {6, 7, 8, 1, 2, 3, 4, 5};
+Line Loop(14) = {11, 12, 9, 10};
+Plane Surface(15) = {13, 14};
+
+Extrude {0, 0, h}{ Surface{15}; }
+
+// Create physical groups, which are used to define the domain of the
+// homology computation and the subdomain of the relative homology
+// computation.
+
+// Whole domain
+Physical Volume(1) = {1};
+
+// Four "terminals" of the model
+Physical Surface(70) = {36};
+Physical Surface(71) = {44};
+Physical Surface(72) = {52};
+Physical Surface(73) = {60};
+
+// Whole domain surface
+bnd[] = Boundary{ Volume{1}; };
+Physical Surface(80) = bnd[];
+
+// Complement of the domain surface respect to the four terminals
+bnd[] -= {36, 44, 52, 60};
+Physical Surface(75) = bnd[];
+
+// Create a mesh of the model
+Mesh 3;
+
+// Find generators of relative homology spaces of the domain modulo
+// the four terminals.  Save the generator chains to t14_hom.msh.
+HomGen("t14_hom.msh") = {{1}, {70, 71, 72, 73}};
+
+// Find the corresponding thin cuts, generators of relative homology
+// spaces modulo the non-terminal domain surface.  Save the cut chains
+// to t14_hom.msh.
+HomGen("t14_hom.msh") = {{1}, {75}};
+
+// Find the corresponding thick cuts.  Save the cut chains to
+// t14_hom.msh.
+HomCut("t14_hom.msh") = {{1}, {70, 71, 72, 73}};
+
+// More examples:
+//  HomGen("t14_hom.msh") = {{1}, {}}; 
+//  HomGen("t14_hom.msh") = {{}, {}};
+//  HomGen("t14_hom.msh") = {{1}, {80}}; 
+//  HomGen("t14_hom.msh") = {{}, {80}};