Comparison of Artificial Dissipation and Limited Flux Schemes in Arbitrary Lagrangian Eulerian Finite Element Formulations

P.N. van der Helm; J. Huétink; R. Akkerman

doi:10.1002/(SICI)1097-0207(19980330)41:6<1057::AID-NME323>3.0.CO;2-4

Comparison of Artificial Dissipation and Limited Flux Schemes in Arbitrary Lagrangian Eulerian Finite Element Formulations

P.N. van der Helm, J. Huétink, R. Akkerman

Faculty of Engineering Technology

Research output: Contribution to journal › Article › Academic › peer-review

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Abstract

A comparison is made between Arbitrary Lagrangian-Eulerian (ALE) finite element formulations for simulation of forming processes based on an artificial dissipation scheme and a limited flux scheme. The first ALE algorithm is based on an averaging procedure used in post-processing of finite element calculations. The second ALE algorithm stems from a finite difference method for compressible fluid dynamics. Both approaches have complementary characteristics with respect to accuracy and implementation.

Original language	English
Pages (from-to)	1057-1076
Journal	International journal for numerical methods in engineering
Volume	41
Issue number	6
DOIs	https://doi.org/10.1002/(SICI)1097-0207(19980330)41:6<1057::AID-NME323>3.0.CO;2-4
Publication status	Published - 1998

Keywords

Advection
Finite volumes
Crosswind diffusion
Finite elements
ALE

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10.1002/(SICI)1097-0207(19980330)41:6<1057::AID-NME323>3.0.CO;2-4

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title = "Comparison of Artificial Dissipation and Limited Flux Schemes in Arbitrary Lagrangian Eulerian Finite Element Formulations",

abstract = "A comparison is made between Arbitrary Lagrangian-Eulerian (ALE) finite element formulations for simulation of forming processes based on an artificial dissipation scheme and a limited flux scheme. The first ALE algorithm is based on an averaging procedure used in post-processing of finite element calculations. The second ALE algorithm stems from a finite difference method for compressible fluid dynamics. Both approaches have complementary characteristics with respect to accuracy and implementation.",

keywords = "Advection, Finite volumes, Crosswind diffusion, Finite elements, ALE",

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AU - van der Helm, P.N.

AU - Huétink, J.

AU - Akkerman, R.

PY - 1998

Y1 - 1998

N2 - A comparison is made between Arbitrary Lagrangian-Eulerian (ALE) finite element formulations for simulation of forming processes based on an artificial dissipation scheme and a limited flux scheme. The first ALE algorithm is based on an averaging procedure used in post-processing of finite element calculations. The second ALE algorithm stems from a finite difference method for compressible fluid dynamics. Both approaches have complementary characteristics with respect to accuracy and implementation.

AB - A comparison is made between Arbitrary Lagrangian-Eulerian (ALE) finite element formulations for simulation of forming processes based on an artificial dissipation scheme and a limited flux scheme. The first ALE algorithm is based on an averaging procedure used in post-processing of finite element calculations. The second ALE algorithm stems from a finite difference method for compressible fluid dynamics. Both approaches have complementary characteristics with respect to accuracy and implementation.

KW - Advection

KW - Finite volumes

KW - Crosswind diffusion

KW - Finite elements

KW - ALE

U2 - 10.1002/(SICI)1097-0207(19980330)41:6<1057::AID-NME323>3.0.CO;2-4

DO - 10.1002/(SICI)1097-0207(19980330)41:6<1057::AID-NME323>3.0.CO;2-4

M3 - Article

SN - 0029-5981

VL - 41

SP - 1057

EP - 1076

JO - International journal for numerical methods in engineering

JF - International journal for numerical methods in engineering

IS - 6

ER -

Comparison of Artificial Dissipation and Limited Flux Schemes in Arbitrary Lagrangian Eulerian Finite Element Formulations

Abstract

Keywords

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