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A Second Order Cell-Centered Scheme for Lagrangian Hydrodynamics

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Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems (FVCA 2017)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 200))

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Abstract

We describe a high-order cell-centered Godunov type scheme for Lagrangian hydrodynamics on general unstructured meshes using nodal fluxes. The nodal solver only depends on the angular repartition of the physical variables around the node. A second order extension of the scheme, using a linear reconstruction and a Runge–Kutta method is described.

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Authors and Affiliations

  1. Department IMATH, Conservatoire National des Arts Et Métiers, 2 Rue Conté, 75003, Paris, France

    Théo Corot

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  1. Théo Corot
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Correspondence to Théo Corot .

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Editors and Affiliations

  1. Equipe RAPSODI, Inria Lille - Nord Europe, Villeneuve-d’Ascq, France

    Clément Cancès

  2. Commissariat à l'énergie atomique et aux énergies alternatives, Centre de Saclay, Gif-sur-Yvette, France

    Pascal Omnes

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Corot, T. (2017). A Second Order Cell-Centered Scheme for Lagrangian Hydrodynamics. In: Cancès, C., Omnes, P. (eds) Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems. FVCA 2017. Springer Proceedings in Mathematics & Statistics, vol 200. Springer, Cham. https://doi.org/10.1007/978-3-319-57394-6_5

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