Path-conservative In-cell Discontinuous Reconstruction schemes for non conservative hyperbolic systems

Abstract : We are interested in the numerical approximation of discontinuous solutions in non conservative 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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https://hal.archives-ouvertes.fr/hal-02263335
Contributor : Christophe Chalons <>
Submitted on : Sunday, August 4, 2019 - 7:40:40 AM
Last modification on : Wednesday, August 7, 2019 - 1:12:00 AM

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Christophe Chalons. Path-conservative In-cell Discontinuous Reconstruction schemes for non conservative hyperbolic systems. 2019. ⟨hal-02263335⟩

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