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An ALE formulation for explicit Runge-Kutta Residual Distribution

Luca Arpaia 1 Mario Ricchiuto 1, 2 Remi Abgrall 1
1 BACCHUS - Parallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems
Inria Bordeaux - Sud-Ouest, UB - Université de Bordeaux, CNRS - Centre National de la Recherche Scientifique : UMR5800
Abstract : In this paper we consider the solution of hyperbolic conservation laws on moving meshes by means of an Arbitrary Lagrangian Eulerian (ALE) formulation. In particular we propose an ALE framework for the genuinely explicit residual distribution schemes of (Ricchiuto and Abgrall {\it J.Comput.Phys} 229, 2010). The discretizations obtained are thoroughly tested on a large number of benchmarks.
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https://hal.inria.fr/hal-00863154
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Submitted on : Wednesday, September 18, 2013 - 6:08:37 PM
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Luca Arpaia, Mario Ricchiuto, Remi Abgrall. An ALE formulation for explicit Runge-Kutta Residual Distribution. [Research Report] RR-8367, INRIA. 2013. ⟨hal-00863154v2⟩

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