Adaptive Mesh Refinement for Parallel Processors

Cover Adaptive Mesh Refinement for Parallel Processors
Adaptive Mesh Refinement for Parallel Processors
Marsha J Berger
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4. TheParallelizationof . A_MR.
Since the binary decomposition partitions the domain into rectangles, it seems well suited for appli- cation 10 AMR, which also partiticxis space into rectangles. Of course, with AMR the partition must be a functicxi of time. \Mienever the grid hierarchy is changed, the partition must be changed. The decomposi- tion is implemented by partitioning the grids in the grid hierarchy at a given time for assignment to dif- ferent processors. (Note that this is not the s
...ame as distributing the original grids in the hierarchy them- selves).
When I started this work, my original idea was to f)artition the entire grid structure, based on all grids in the grid hierarchy. This is illustrated in Figure 7a. This is the largest granularity possible. If the coarse and fine grids in the same region of space are owned by the same processor, the updating step of the algo- rithm does not incur inter-processor communication. Although this is theoretically preferable, it is not jwactical.


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