A block-based parallel adaptive scheme for solving the 4D Vlasov equation

Authors:
Olivier Hoenen;Eric Violard
Affiliations:
Laboratoire LSIIT, ICPS, UMR, CNRS, Université Louis Pasteur, Strasbourg;Laboratoire LSIIT, ICPS, UMR, CNRS, Université Louis Pasteur, Strasbourg
Venue:
PPAM'07 Proceedings of the 7th international conference on Parallel processing and applied mathematics
Year:
2007

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Abstract

We present a parallel algorithm for solving the 4D Vlasov equation. Our algorithm is designed for distributed memory architectures. It uses an adaptive numerical method which reduces computational cost. This adaptive method is a semi-Lagrangian scheme based on hierarchical finite elements. It involves a local interpolation operator. Our algorithm handles both irregular data dependencies and the big amount of data by distributing data into blocks. Performance measurements on a PC cluster's confirm the pertinence of our approach. This work is a part of the CALVI project.