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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.

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