An Example

The major components of parallel unstructured mesh computation are illustrated in the movies below. In this example, an initial mesh is constructed of high-order, triangular shell elements conforming to a spherical domain with holes (click on the images below to see the movies). A load is placed on the region around the top pole of the sphere, and the linear elasticity equations are assembled and solved using the BlockSolve95 linear system solver. The local error on each element is estimated, and the mesh is selectively refined to place more elements where error is large. Solutions are computed on a series of increasingly refined meshes until a user-defined error tolerance is met on all elements of the mesh. The series of refined meshes and their corresponding partitioning on the Intel DELTA are shown in the movies. In the partitioning movie, elements of the same color are assigned to the same partition. Note that the final mesh is most refined at the poles where the sphere has collapsed.

Click on this image to see a series of increasingly refined meshes. The final mesh shows the displacement caused by a load placed at the sphere's pole. (NB, you may have to keep the cursor in the movie window to get the correct color map.)

The stress movie.

Click on this image to see the corresponding series of partitionings of the mesh.

The partition movie.

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