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

JOURNAL OF COMPUTATIONAL PHYSICS

卷:228

Article

Maire, Pierre-Henri¹  Nkonga, Boniface² 

[1] Univ Bordeaux 1, UMR CELIA, F-33405 Talence, France

[2] Univ Bordeaux 1, INRIA Bordeaux Sud Ouest, IMB, F-33405 Talence, France

关键词: Lagrangian hydrodynamics;    Cell-centered scheme;    Godunov-type method;    Compressible flow;    High-order finite volume methods;    Multi-dimensional unstructured mesh;   

DOI  :  10.1016/j.jcp.2008.10.012

来源: Elsevier

【 摘 要 】

This work presents a multi-dimensional 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 velocity 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. (c) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

Free