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Article Dans Une Revue Communications in Mathematical Sciences Année : 2020

Path-conservative in-cell discontinuous reconstruction schemes for non conservative hyperbolic systems

Résumé

We are interested in the numerical approximation of discontinuous solutions in nonconservative hyperbolic systems. We introduce the basics of a new strategy based on in-cell discontinuous reconstructions to deal with this challenging topic, and apply it to a 2x2 non-conservative toy model, and a 3x3 gas dynamics system in Lagrangian coordinates. The strategy allows in particular to compute exactly isolated shocks. Numerical evidences are proposed.
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Dates et versions

hal-03993060 , version 1 (12-04-2023)

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Citer

Christophe Chalons. Path-conservative in-cell discontinuous reconstruction schemes for non conservative hyperbolic systems. Communications in Mathematical Sciences, 2020, 18 (1), pp.1-30. ⟨10.4310/CMS.2020.v18.n1.a1⟩. ⟨hal-03993060⟩
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