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A cell-centered Lagrangian hydrodynamics scheme on general unstructured meshes in arbitrary dimension. (English) Zbl 1168.76029
Summary: We describe a cell-centered Godunov scheme for Lagrangian gas dynamics on general unstructured meshes in arbitrary dimension. The construction of the scheme is based upon the definition of some geometric vectors which are defined on a moving mesh. The finite volume solver is node-based and compatible with mesh displacement. We also discuss boundary conditions. Numerical results on basic 3D tests show the efficiency of this approach. We consider a quasi-incompressible test problem for which our nodal solver gives very good results if compared with other Godunov solvers. We briefly discuss the compatibility with ALE and/or AMR techniques, and detail the coefficients of the isoparametric element in the appendix.

76M12 Finite volume methods applied to problems in fluid mechanics
76N15 Gas dynamics (general theory)
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