Grid Motion Via Swapping
Grid Motion Via Swapping.
Two simple, academic, examples of grid movements obtained with the aid of the edge-swapping technique are illustrated in Movie 2 and Movie 3. In the first case a circle is rotating inside a fixed one. The inner row of elements slide over the external one in a axis symmetrical manner. Such proces is stopped by the arise of small asymmetries of the mesh, i.e. edges that connect directly external boundary nodes with the internal boundary nodes. The example of Movie 2 is, of course, pathological but highlights how the edge-swapping technique allows large displacement of the boundaries.
If the ratio betwen the typical size of the elements and the typical size of the domain is small enough, the arbitrary large deformations can be allowed. In Movie 3 is reported the example similar to the one of Movie 2, but the size of both the grid and the domain are different. A 360 degrees revolution can be obtained only resorting to mesh deformation and edge-swapping, preserving the initial grid quality.
 Movie 2. Example of mesh movement performed by mesh deformation and swapping. |
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If the ratio betwen the typical size of the elements and the typical size of the domain is small enough, the arbitrary large deformations can be allowed. In Movie 3 is reported the example similar to the one of Movie 2, but the size of both the grid and the domain are different. A 360 degrees revolution can be obtained only resorting to mesh deformation and edge-swapping, preserving the initial grid quality.
 Movie 3. Examples of large displacements performed by mesh deformation and swapping. |
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| Click here to download |