Abstract
A blockwise approach to parallel structured adaptive mesh refinement is considered. The initial, coarse grid is divided into n 1 × n 2 blocks. Subsequent refinements are carried out with respect to entire blocks.
The paper addresses the issue of choosing n 1 and n 2 optimally. A theoretical model for the execution time is formulated. Subsequently, it is suggested how to minimize the execution time with respect to the number of blocks. The approach is validated for test cases, where it successfully predicts the optimal choice of granularity. Finally, it is discussed how this can be automatized and integrated into the SAMR code.
The research was supported by the Swedish Foundation for Strategic Research via the programme Industrial Computational Mathematics, and by Uppsala University via a faculty grant.
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Thuné, M., Söderberg, S. (2001). Optimal Parameter Values for a Parallel Structured Adaptive Mesh Refinement Algorithm. In: Sørevik, T., Manne, F., Gebremedhin, A.H., Moe, R. (eds) Applied Parallel Computing. New Paradigms for HPC in Industry and Academia. PARA 2000. Lecture Notes in Computer Science, vol 1947. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-70734-4_22
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DOI: https://doi.org/10.1007/3-540-70734-4_22
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