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Journal Articles Journal of Computational Physics Year : 2009

Multi-scale Godunov-type method for cell-centered discrete Lagrangian hydrodynamics.

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Abstract

This work presents a multidimensional cell-centered unstructured finite volume scheme for the solution of multimaterial compressible fluid flows written in the Lagrangian formalism. This formulation is considered in the Arbitrary-Lagrangian-Eulerian (ALE) framework with the constraint that the mesh and the fluid velocity coincide. The link between the vertex velocity and the fluid motion is obtained by a formulation of the momentum conservation on a class of multi-scale encased volumes around mesh vertices. The vertex velocity is derived with a nodal Riemann solver constructed in such a way that the mesh motion and the face fluxes are compatible. Finally, the resulting scheme conserves both momentum and total energy and, it satisfies a semi-discrete entropy inequality. The numerical results obtained for some classical 2D and 3D hydrodynamic test cases show the robustness and the accuracy of the proposed algorithm.
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Dates and versions

inria-00290717 , version 1 (26-06-2008)

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P.H. Maire, Boniface Nkonga. Multi-scale Godunov-type method for cell-centered discrete Lagrangian hydrodynamics.. Journal of Computational Physics, 2009, Volume 228 (Issue 3, 20 February 2009), pp.Pages 799-821. ⟨10.1016/j.jcp.2008.10.012⟩. ⟨inria-00290717⟩
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