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ADINA
Structures, Heat Transfer and CFD
Tetrahedral Meshing

Bodies can be triangulated in ADINA using either an advancing front or a Delaunay mesher.

Advancing Front

  • A standard advancing front methodology is applied in 3D space.
  • Sizes are controlled by an octree.
  • Elements are created considering a minimum quality threshold, which can be repeatedly relaxed if the algorithm does not converge.
  • There is no optimization nor smoothing applied to the obtained mesh.

Delaunay

  • A standard 3D Delaunay insertion algorithm is applied in 3D space.
  • It is assumed the input surface mesh given to the mesher is not to be modified, meaning, a strong boundary recovery scheme is employed.
  • Sizes are controlled using interpolation on the current mesh.
  • Resulting mesh is optimized and smoothed.

Remarks

  • The advancing front mesher is relatively slow and lacks robustness for complicated geometries. It however creates high quality meshes when it converges easily.
  • The Delaunay mesher is robust and relatively fast.
  • The Delaunay mesher is ADINA's default mesher because of its robustness. It also supports anisotropic mesh generation and mesh adaptation.
  • Both 3D meshers can be used with either the advancing front or Delaunay surface mesher.

Timings

It is of interest to compare the speeds of the advancing front and Delaunay meshers, and to have an idea of their generation rates. The following tables give numbers of elements generated, CPU times in seconds, and element generation rates per second on an SGI octane for diverse test cases. Note that, for reference, a Pentium II 350 Mhz is about 1.2 times slower than a SGI octane for this type of problems. Each table is preceded by a picture of the input surface mesh. Please click on thumbnail for larger image.

Flow distributor.

This is a very simple model with a large interior.

Method No. of elements CPU time Generation rate
Advancing front 44,000 100 440
Delaunay 53,000 50 1060

Structure.

This is a simple model with a large interior.

Method No. of elements CPU time Generation rate
Advancing front 248,000 674 368
Delaunay 273,000 214 1276

Outer basket.

This is a model with some small features and little interior.

Method No. of elements CPU time Generation rate
Advancing front 100,000 300 333
Delaunay 115,000 137 839

Mechanical part.

This is a model with many small features and little interior. It could not be meshed with the advancing front method.

Method No. of elements CPU time Generation rate
Advancing front N/A N/A N/A
Delaunay 87,000 148 588

Image Gallery

The following images show some meshes obtained with the Delaunay mesher. Please click on thumbnails for larger images.

Mechanical part.
Mechanical part.
Crankshaft.
The Enterprise.
Gears.
Fan.
Lego formula 1.
Ice cream scoop.
Scissors.
Loudspeaker.
Potentiometer.
 

Other ADINA Mesh Generation Features:

Triangular Surface Meshing Quadrilateral Surface Meshing
Mapped Meshing Tetrahedral Meshing Mesh Adaptation-Repair
Anisotropic Meshing Automatic Grading Curvature-based Meshing


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