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

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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https://hal.inria.fr/inria-00290717
Contributor : Pierre-Henri Maire <>
Submitted on : Thursday, June 26, 2008 - 11:45:18 AM
Last modification on : Thursday, September 10, 2020 - 8:57:30 AM
Long-term archiving on: : Friday, May 28, 2010 - 10:52:09 PM

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P.H. Maire, Boniface Nkonga. Multi-scale Godunov-type method for cell-centered discrete Lagrangian hydrodynamics.. Journal of Computational Physics, Elsevier, 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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