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Journal Articles Journal of Scientific Computing Year : 2024

Parallel kinetic schemes for conservation laws, with large time steps

Abstract

We propose a new parallel Discontinuous Galerkin method for the approximation of hyperbolic systems of conservation laws. The method remains stable with large time steps, while keeping the complexity of an explicit scheme: it does not require the assembly and resolution of large linear systems for the time iterations. The approach is based on a kinetic representation of the system of conservation laws previously investigated by the authors. In this paper, the approach is extended with a subdomain strategy that improves the parallel scaling of the method on computers with distributed memory.
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Dates and versions

hal-03910307 , version 1 (22-12-2022)
hal-03910307 , version 2 (24-02-2024)

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Pierre Gerhard, Philippe Helluy, Victor Michel-Dansac, Bruno Weber. Parallel kinetic schemes for conservation laws, with large time steps. Journal of Scientific Computing, 2024, 99 (1), ⟨10.1007/s10915-024-02468-7⟩. ⟨hal-03910307v2⟩
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