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A unified sub-cell force-based discretization for cell-centered Lagrangian hydrodynamics on polygonal grids

✍ Scribed by Pierre-Henri Maire


Publisher
John Wiley and Sons
Year
2010
Tongue
English
Weight
286 KB
Volume
65
Category
Article
ISSN
0271-2091

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We present a one-step high-order cell-centered numerical scheme for solving Lagrangian hydrodynamics equations on unstructured grids. The underlying finite volume discretization is constructed through the use of the sub-cell force concept invoking conservation and thermodynamic consistency. The high

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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 thirdorder. We also demonstrate that a proper choice of the numerical fluxes allows to enforce stability