High-order implicit palindromic discontinuous Galerkin method for kinetic-relaxation approximation

Abstract : We construct a high order discontinuous Galerkin method for solving general hyperbolic systems of conservation laws. The method is CFL-less, matrix-free, has the complexity of an explicit scheme and can be of arbitrary order in space and time. The construction is based on: (a) the representation of the system of conservation laws by a kinetic vectorial representation with a stiff relaxation term; (b) a matrix-free, CFL-less implicit discontinuous Galerkin transport solver; and (c) a stiffly accurate composition method for time integration. The method is validated on several one-dimensional test cases. It is then applied on two-dimensional and three-dimensional test cases: flow past a cylinder, magnetohydrodynamics and multifluid sedimentation.
Type de document :
Pré-publication, Document de travail
2018
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https://hal.archives-ouvertes.fr/hal-01706614
Contributeur : Philippe Helluy <>
Soumis le : lundi 12 février 2018 - 15:40:46
Dernière modification le : mercredi 14 mars 2018 - 16:43:14
Document(s) archivé(s) le : samedi 5 mai 2018 - 17:37:57

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helluy-relax.pdf
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  • HAL Id : hal-01706614, version 1
  • ARXIV : 1802.04590

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David Coulette, Emmanuel Franck, Philippe Helluy, Michel Mehrenberger, Laurent Navoret. High-order implicit palindromic discontinuous Galerkin method for kinetic-relaxation approximation. 2018. 〈hal-01706614〉

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