Two-step hybrid conservative remapping for multimaterial arbitrary Lagrangian-Eulerian methods

  • Authors:

  • Markus Berndt;JéRôMe Breil;StéPhane Galera;Milan Kucharik;Pierre-Henri Maire;Mikhail Shashkov

  • Affiliations:

  • Los Alamos National Laboratory, CCS-2, Los Alamos, NM 87545, USA;UMR CELIA, Université Bordeaux I 351, Cours de la Libération, 33 405 Talence, France;INRIA, Team Bacchus, 351 Cours de la Libération, 33405 Talence Cedex, France;Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, Brehova 7, Praha 1, 115 19, Czech Republic;CEA-CESTA BP 2, 33 114 Le Barp, France;Los Alamos National Laboratory, XCP-4, Los Alamos, NM 87545, USA

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2011

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Abstract

We present a new hybrid conservative remapping algorithm for multimaterial Arbitrary Lagrangian-Eulerian (ALE) methods. The hybrid remapping is performed in two steps. In the first step, only nodes of the grid that lie inside subdomains occupied by single materials are moved. At this stage, computationally cheap swept-region remapping is used. In the second step, nodes that are vertices of mixed cells (cells containing several materials) and vertices of some cells in a buffer zone around mixed cells are moved. At this stage, intersection-based remapping is used. The hybrid algorithm results in computational expense that lies between swept-region and intersection-based remapping We demonstrate the performance of our new method for both structured and unstructured polygonal grids in two dimensions, as well as for cell-centered and staggered discretizations.