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Symmetrization of Lagrangian gas dynamics in dimension two and multidimensional solvers. (Symétrisation de la dynamique des gaz en dimension deux et solveurs multidimensionnels.) (English. Abridged French version) Zbl 1293.76089
Summary: We propose a new formulation of multidimensional Euler equations in Lagrange coordinates as a system of conservation laws associated with divergent-free constraints. This formulation leads to a natural class of entropic Lagrangian schemes, based on a multidimensional node solver. For the sake of simplicity, the study is done in 2D, but most of the ideas can be generalized in 3D.

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