4.7 Article

Arbitrary Lagrangian-Eulerian methods for modeling high-speed compressible multimaterial flows

Journal

JOURNAL OF COMPUTATIONAL PHYSICS
Volume 322, Issue -, Pages 603-665

Publisher

ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2016.07.001

Keywords

Lagrangian hydrodynamics; Arbitrary-Lagrangian-Eulerian hydrodynamics; Rezone; Remap; Multimaterial cells; Interface-aware sub-scale closure models; Staggered discretization; Cell-centered discretization; High-order methods

Funding

  1. U.S. Department of Energy by Lawrence Livermore National Laboratory [DE-AC52-07NA27344]
  2. National Nuclear Security Administration of the U.S. Department of Energy at Los Alamos National Laboratory [DE-AC52-06NA25396]
  3. DOE Office of Science Advanced Scientific Computing Research (ASCR) Program in Applied Mathematics Research
  4. French National Research Agency (ANR) [ANR-10-IDEX-03-02]

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This paper reviews recent developments in Arbitrary Lagrangian Eulerian (ALE) methods for modeling high speed compressible multimaterial flows in complex geometry on general polygonal meshes. We only consider the indirect ALE approach which consists of three key stages: a Lagrangian stage, in which the solution and the computational mesh are updated; a rezoning stage, in which the nodes of the computational mesh are moved to improve grid quality; and a remapping stage, in which the Lagrangian solution is transferred to the rezoned mesh. (C) 2016 Elsevier Inc. All rights reserved.

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