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A cell centred Lagrangian Godunov scheme for shock hydrodynamics. (English) Zbl 1431.76006
Summary: A new cell centred Lagrangian Godunov scheme for shock hydrodynamics is proposed. The new method uses a transient dual grid to define the motion of the vertices in a way that is consistent with the geometric conservation law.

MSC:
76-06 Proceedings, conferences, collections, etc. pertaining to fluid mechanics
76M12 Finite volume methods applied to problems in fluid mechanics
76L05 Shock waves and blast waves in fluid mechanics
Keywords:
Lagrangian; Godunov
Software:
HE-E1GODF
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References:
[1] Maire, P.-H., A high-order cell-centered Lagrangian scheme for two-dimensional compressible fluid flows on unstructured mesh, J comput phys, 228, 7, 2391-2425, (2009) · Zbl 1156.76434
[2] Barlow, A.J., A compatible finite element multi-material ALE hydrodynamics algorithm, Int J numer methods fluids, 56, 953-964, (2008) · Zbl 1169.76030
[3] Einfeldt, B.; Munz, C.D.; Roe, P.L.; Sjogreen, B., On Godunov type methods near low densities, J comput phys, 92, 273-294, (1991) · Zbl 0709.76102
[4] Toro, Eleuterio F., Riemann solvers and numerical methods for fluid dynamics: a practical introduction, (2009), Springer · Zbl 1227.76006
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