Hybrid remap for multi-material ALE

Abstract Remapping is one of the essential parts of most arbitrary Lagrangian–Eulerian (ALE) methods. In this short paper we focus on multi-material fluid flows. We present a hybrid remapping method combining the swept remapping algorithm in pure regions with the intersection-based remapping algorithm close to material interfaces. We describe the hybrid remapping method in two formulations, as a one-step and a two-step procedure and compare behaviour of both approaches with the standard intersection-based algorithm using several numerical examples.

[1]  Len G. Margolin,et al.  Second-order sign-preserving conservative interpolation (remapping) on general grids , 2003 .

[2]  D. Benson Computational methods in Lagrangian and Eulerian hydrocodes , 1992 .

[3]  Mikhail J. Shashkov,et al.  Reconstruction of multi-material interfaces from moment data , 2008, J. Comput. Phys..

[4]  Jérôme Breil,et al.  Two-step hybrid conservative remapping for multimaterial arbitrary Lagrangian-Eulerian methods , 2011, J. Comput. Phys..

[5]  C. W. Hirt,et al.  An Arbitrary Lagrangian-Eulerian Computing Method for All Flow Speeds , 1997 .

[6]  L. Margolin Introduction to “An Arbitrary Lagrangian-Eulerian Computing Method for All Flow Speeds” , 1997 .

[7]  Mikhail J. Shashkov,et al.  One-step hybrid remapping algorithm for multi-material arbitrary Lagrangian-Eulerian methods , 2012, J. Comput. Phys..

[8]  J. S. Peery,et al.  Multi-Material ALE methods in unstructured grids , 2000 .

[9]  Pierre-Henri Maire,et al.  Two-Step Hybrid Remapping (Conservative Interpolation) for Multimaterial Arbitrary Lagrangian-Eulerian Methods LA-UR-10-05438 , 2010 .

[10]  Rao V. Garimella,et al.  A comparative study of interface reconstruction methods for multi-material ALE simulations , 2010 .

[11]  A. Huerta,et al.  Arbitrary Lagrangian–Eulerian Methods , 2004 .

[12]  J. Hyvärinen,et al.  An Arbitrary Lagrangian-Eulerian finite element method , 1998 .

[13]  Raphaël Loubère,et al.  A subcell remapping method on staggered polygonal grids for arbitrary-Lagrangian-Eulerian methods , 2005 .