Parallel kinetic schemes for conservation laws, with large time steps
Numerical Analysis
2024-02-27 v1 Numerical Analysis
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.
Cite
@article{arxiv.2212.11010,
title = {Parallel kinetic schemes for conservation laws, with large time steps},
author = {Pierre Gerhard and Philippe Helluy and Victor Michel-Dansac and Bruno Weber},
journal= {arXiv preprint arXiv:2212.11010},
year = {2024}
}