Arbitrary Lagrangian-Eulerian (ALE) methods in compressible fluid dynamics

Kuchařík, Milan; Liska, Richard; Váchal, Pavel; Shashkov, Mikhail

  • Programs and Algorithms of Numerical Mathematics, Publisher: Institute of Mathematics AS CR(Prague), page 178-183

Abstract

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The aim of this paper is to present an Arbitrary Lagrangian-Eulerian (ALE [1] code for simulation of problems in compressible fluid dynamics and plasma physics including heat conduction and laser absorption, in both Cartesian and cylindrical geometries. Various techniques are utilized for mesh adaptation (rezoning), including Winslow smoothing [2], three-step untangling [3] and Reference Jacobian method [4,5]. For conservative transfer (remapping) of variables onto the rezoned mesh, linear interpolation with a posteriori repairs is used by default. Simulation of high velocity impact, for which pure Lagrangian method fails, proves the usefulness of ALE approach.

How to cite

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Kuchařík, Milan, et al. "Arbitrary Lagrangian-Eulerian (ALE) methods in compressible fluid dynamics." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics AS CR, 2006. 178-183. <http://eudml.org/doc/271298>.

@inProceedings{Kuchařík2006,
abstract = {The aim of this paper is to present an Arbitrary Lagrangian-Eulerian (ALE [1] code for simulation of problems in compressible fluid dynamics and plasma physics including heat conduction and laser absorption, in both Cartesian and cylindrical geometries. Various techniques are utilized for mesh adaptation (rezoning), including Winslow smoothing [2], three-step untangling [3] and Reference Jacobian method [4,5]. For conservative transfer (remapping) of variables onto the rezoned mesh, linear interpolation with a posteriori repairs is used by default. Simulation of high velocity impact, for which pure Lagrangian method fails, proves the usefulness of ALE approach.},
author = {Kuchařík, Milan, Liska, Richard, Váchal, Pavel, Shashkov, Mikhail},
booktitle = {Programs and Algorithms of Numerical Mathematics},
location = {Prague},
pages = {178-183},
publisher = {Institute of Mathematics AS CR},
title = {Arbitrary Lagrangian-Eulerian (ALE) methods in compressible fluid dynamics},
url = {http://eudml.org/doc/271298},
year = {2006},
}

TY - CLSWK
AU - Kuchařík, Milan
AU - Liska, Richard
AU - Váchal, Pavel
AU - Shashkov, Mikhail
TI - Arbitrary Lagrangian-Eulerian (ALE) methods in compressible fluid dynamics
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2006
CY - Prague
PB - Institute of Mathematics AS CR
SP - 178
EP - 183
AB - The aim of this paper is to present an Arbitrary Lagrangian-Eulerian (ALE [1] code for simulation of problems in compressible fluid dynamics and plasma physics including heat conduction and laser absorption, in both Cartesian and cylindrical geometries. Various techniques are utilized for mesh adaptation (rezoning), including Winslow smoothing [2], three-step untangling [3] and Reference Jacobian method [4,5]. For conservative transfer (remapping) of variables onto the rezoned mesh, linear interpolation with a posteriori repairs is used by default. Simulation of high velocity impact, for which pure Lagrangian method fails, proves the usefulness of ALE approach.
UR - http://eudml.org/doc/271298
ER -

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