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Center for Nonlinear Studies |
Lagrangian meshes are plagued with various pathologies (tangling, negative volume, ...), whatever the scheme used. In this second presentation I will focus on a priori stabilization of cell-centered Lagrangian schemes. It will be shown that pathologies of Lagrangian meshes can be analyzed with subzonal entropies which are kind of mixing entropies [1]. This subzonal entropy is added to the total entropy so that correction terms are designed to cell-centered Lagrangian schemes. The two main properties are: the scheme is still consistent in the mimetic sense, the mesh never crashes provided convenient time step is used. The low dissipativity Glace scheme takes huge advantage of this procedure. Test problems show the efficiency of the method.
Host: Mikhail Shashkov. shashkov@lanl.gov, 667-4400