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

Abstract

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.

Authors:

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)

Publication Date:: Sat Oct 01 00:00:00 EDT 2016

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

Sponsoring Org.:: USDOE

OSTI Identifier:: 1566106

Report Number(s):: LA-UR-16-23101
Journal ID: ISSN 0021-9991; TRN: US2000966

Grant/Contract Number:: 89233218CNA000001

Resource Type:: Accepted Manuscript

Journal Name:: Journal of Computational Physics

Additional Journal Information:: Journal Volume: 322; Journal Issue: C; Journal ID: ISSN 0021-9991

Publisher:: Elsevier

Country of Publication:: United States

Language:: English

Subject:: 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

Citation Formats


                    Barlow, Andrew, Shashkov, Mikhail Jurievich, Maire, Pierre-Henri, Rieben, Robert, and Rider, WIlliam. Arbitrary Lagrangian–Eulerian methods for modeling high-speed compressible multimaterial flows.  United States: N. p., 2016. 
Web.  doi:10.1016/j.jcp.2016.07.001.

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                    Barlow, Andrew, Shashkov, Mikhail Jurievich, Maire, Pierre-Henri, Rieben, Robert, & Rider, WIlliam. Arbitrary Lagrangian–Eulerian methods for modeling high-speed compressible multimaterial flows.  United States.  https://doi.org/10.1016/j.jcp.2016.07.001

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                    Barlow, Andrew, Shashkov, Mikhail Jurievich, Maire, Pierre-Henri, Rieben, Robert, and Rider, WIlliam. Sat .  
"Arbitrary Lagrangian–Eulerian methods for modeling high-speed compressible multimaterial flows".  United States.  https://doi.org/10.1016/j.jcp.2016.07.001.  https://www.osti.gov/servlets/purl/1566106.

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@article{osti_1566106,

  title        = {Arbitrary Lagrangian–Eulerian methods for modeling high-speed compressible multimaterial flows},

  author       = {Barlow, Andrew and Shashkov, Mikhail Jurievich and Maire, Pierre-Henri and Rieben, Robert and Rider, WIlliam},

  abstractNote = {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.},

  doi          = {10.1016/j.jcp.2016.07.001},

  journal      = {Journal of Computational Physics},

  number       = C,

  volume       = 322,

  place        = {United States},

  year         = {Sat Oct 01 00:00:00 EDT 2016},

  month        = {Sat Oct 01 00:00:00 EDT 2016}

}

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

Abstract

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journal, January 2016

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journal, September 2016

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journal, June 2015

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journal, October 2015

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journal, January 2014

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journal, June 2011

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journal, October 2015

A Tensor Artificial Viscosity Using a Mimetic Finite Difference Algorithm
journal, September 2001

The Construction of Compatible Hydrodynamics Algorithms Utilizing Conservation of Total Energy
journal, October 1998

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journal, January 2000

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journal, May 1998

Formulations of Artificial Viscosity for Multi-dimensional Shock Wave Computations
journal, July 1998

A cell-centered Lagrangian hydrodynamics scheme on general unstructured meshes in arbitrary dimension
journal, August 2009

A cell-centered Lagrangian scheme with the preservation of symmetry and conservation properties for compressible fluid flows in two-dimensional cylindrical geometry
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A new method to introduce constraints in cell-centered Lagrangian schemes
journal, July 2013

The Piecewise Parabolic Method (PPM) for gas-dynamical simulations
journal, April 1984

A curvilinear finite-volume method to solve compressible gas dynamics in semi-Lagrangian coordinates
journal, September 2010

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journal, March 2011

Weak consistency of the cell-centered Lagrangian GLACE scheme on general meshes in any dimension
journal, October 2010

Stabilization of cell-centered compressible Lagrangian methods using subzonal entropy
journal, August 2012

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journal, April 2016

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journal, January 2014

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journal, October 1985

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journal, May 2000

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journal, May 1987

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journal, May 2008

A comparative study of multimaterial Lagrangian and Eulerian methods with pressure relaxation
journal, August 2013

A two-dimensional unstructured cell-centered multi-material ALE scheme using VOF interface reconstruction
journal, August 2010

An efficient linearity and bound preserving conservative interpolation (remapping) on polyhedral meshes
journal, February 2007

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journal, July 2004

Triangular and quadrilateral surface mesh quality optimization using local parametrization
journal, March 2004

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journal, January 2016

Reminiscences about Difference Schemes
journal, July 1999

A swept-intersection-based remapping method in a ReALE framework: A SWEPT-INTERSECTION-BASED REMAPPING METHOD
journal, December 2012

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journal, March 1974

An Arbitrary Lagrangian–Eulerian Computing Method for All Flow Speeds
journal, August 1997

A frame invariant and maximum principle enforcing second-order extension for cell-centered ALE schemes based on local convex hull preservation: ELL-CENTERED ALE SCHEMES EXTENSION BASED ON CONVEX HULL PRESERVATION
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journal, April 2011

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Discretization of hyperelasticity on unstructured mesh with a cell-centered Lagrangian scheme
journal, December 2010

Achieving finite element mesh quality via optimization of the Jacobian matrix norm and associated quantities. Part II?A framework for volume mesh optimization and the condition number of the Jacobian matrix
journal, July 2000

Reference Jacobian Optimization-Based Rezone Strategies for Arbitrary Lagrangian Eulerian Methods
journal, February 2002

Algebraic mesh quality metrics for unstructured initial meshes
journal, January 2003

Hybrid remap for multi-material ALE
journal, July 2011

A comparative study of interface reconstruction methods for multi-material ALE simulations
journal, April 2010

Extension of efficient, swept-integration-based conservative remapping method for meshes with changing connectivity
journal, January 2008

One-step hybrid remapping algorithm for multi-material arbitrary Lagrangian–Eulerian methods
journal, April 2012

Conservative multi-material remap for staggered multi-material Arbitrary Lagrangian–Eulerian methods
journal, February 2014