ReALE: A reconnection-based arbitrary-Lagrangian-Eulerian method

JOURNAL OF COMPUTATIONAL PHYSICS

卷:229

Article

Loubere, Raphael²  Maire, Pierre-Henri³  Shashkov, Mikhail¹  Breil, Jerome³  Galera, Stephane³ 

[1] Los Alamos Natl Lab, Los Alamos, NM 87545 USA

[2] Univ Toulouse 3, CNRS, Inst Math Toulouse, F-31062 Toulouse 9, France

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

关键词: Lagrangian hydrodynamics;    Cell-centered scheme;    Compressible flow;    Staggered scheme;    Voronoi mesh;    Arbitrary-Lagrangian-Eulerian;    Mesh reconnection;    Multi-dimensional unstructured polygonal mesh;   

DOI  :  10.1016/j.jcp.2010.03.011

来源: Elsevier

【 摘 要 】

We present a new reconnection-based arbitrary-Lagrangian-Eulerian (ALE) method. The main elements in a standard ALE simulation are an explicit Lagrangian phase in which the solution and grid are updated, a rezoning phase in which a new grid is defined, and a remapping phase in which the Lagrangian solution is transferred (conservatively interpolated) onto the new grid. In standard ALE methods the new mesh from the rezone phase is obtained by moving grid nodes without changing connectivity of the mesh. Such rezone strategy has its limitation due to the fixed topology of the mesh. In our new method we allow connectivity of the mesh to change in rezone phase, which leads to general polygonal mesh and allows to follow Lagrangian features of the mesh much better than for standard ALE methods. Rezone strategy with reconnection is based on using Voronoi tessellation. We demonstrate performance of our new method on series of numerical examples and show it superiority in comparison with standard ALE methods without reconnection. (C) 2010 Elsevier Inc. All rights reserved.

【 授权许可】

Free