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Cell-centered discontinuous Galerkin discretizations for two-dimensional scalar conservation laws on unstructured grids and for the one-dimensional Lagrangian hydrodynamics

Abstract : We present cell-centered discontinuous Galerkin discretizations for two-dimensional scalar conservation laws on unstructured grids and also for the one-dimensional Lagrangian hydrodynamics up to third-order. We also demonstrate that a proper choice of the numerical fluxes allows to enforce stability properties of our discretizations.
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https://hal.inria.fr/inria-00538165
Contributor : Rémi Abgrall <>
Submitted on : Monday, November 22, 2010 - 8:52:28 AM
Last modification on : Thursday, February 11, 2021 - 2:56:42 PM
Long-term archiving on: : Thursday, June 30, 2011 - 1:38:10 PM

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François Vilar, P.H. Maire, Remi Abgrall. Cell-centered discontinuous Galerkin discretizations for two-dimensional scalar conservation laws on unstructured grids and for the one-dimensional Lagrangian hydrodynamics. Computers and Fluids, Elsevier, 2010, pp.Article in Press. ⟨10.1016/j.compfluid.2010.07.018⟩. ⟨inria-00538165⟩

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