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

Barlow, Andrew; Shashkov, Mikhail Jurievich; Maire, Pierre-Henri; Rieben, Robert; Rider, WIlliam

doi:10.1016/j.jcp.2016.07.001

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

Journal Article · Sat Oct 01 00:00:00 EDT 2016 · Journal of Computational Physics

DOI:https://doi.org/10.1016/j.jcp.2016.07.001· OSTI ID:1566106

Barlow, Andrew ^[1];

^[2]; Maire, Pierre-Henri ^[3]; Rieben, Robert ^[4]; Rider, WIlliam ^[5]

Atomic Weapons Establishment (AWE), Berkshire (United Kingdom)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Alternative Energies and Atomic Energy Commission (CEA), Le Barp (France)
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sandia National Lab. (SNL-CA), Livermore, CA (United States)

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.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: 89233218CNA000001

OSTI ID:: 1566106

Report Number(s):: LA-UR-16-23101; TRN: US2000966

Journal Information:: Journal of Computational Physics, Vol. 322, Issue C; ISSN 0021-9991

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 106 works

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A Unified Framework for the Solution of Hyperbolic PDE Systems Using High Order Direct Arbitrary-Lagrangian–Eulerian Schemes on Moving Unstructured Meshes with Topology Change Gaburro, Elena Archives of Computational Methods in Engineering https://doi.org/10.1007/s11831-020-09411-7	journal	February 2020
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A Comparison of Different Finite Element Methods in the Thermal Analysis of Friction Stir Welding (FSW) Meyghani, Bahman; Awang, Mokhtar; Emamian, Seyed Sattar Metals, Vol. 7, Issue 10 https://doi.org/10.3390/met7100450	journal	October 2017
A reconstructed discontinuous Galerkin method for multi‐material hydrodynamics with sharp interfaces Pandare, Aditya K.; Waltz, Jacob; Bakosi, Jozsef International Journal for Numerical Methods in Fluids, Vol. 92, Issue 8 https://doi.org/10.1002/fld.4810	journal	January 2020
A Lagrangian meshfree method applied to linear and nonlinear elasticity Walker, Wade A. PLOS ONE, Vol. 12, Issue 10 https://doi.org/10.1371/journal.pone.0186345	journal	October 2017

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Related Subjects

97 MATHEMATICS AND COMPUTING
Lagrangian hydrodynamics
Arbitrary-Lagrangian–Eulerian hydrodynamics
Rezone
Remap
Multimaterial cellsInterface-aware sub-scale closure models
Staggered discretization
Cell-centered discretization
High-order methods