Genuinely nonlinear models for convection-dominated problems

This paper introduces a general, nonlinear subgrid-scale (SGS) model, having boundedartificial viscosity, for the numerical simulation of convection-dominated problems. We also present a numerical comparison (error analysis and numerical experiments) between this model and the most common SGS model...

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Bibliographic Details
Published inComputers & mathematics with applications (1987) Vol. 48; no. 10; pp. 1677 - 1692
Main Author Iliescu, T.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.11.2004
Subjects
Artificial viscosity
Computer simulation
Error analysis
Mathematical models
Nonlinearity
p-Laplacian
Regularization
Subgrid-scale model
Viscosity
p-Laplacian
Artificial viscosity
Subgrid-scale model
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Summary:This paper introduces a general, nonlinear subgrid-scale (SGS) model, having boundedartificial viscosity, for the numerical simulation of convection-dominated problems. We also present a numerical comparison (error analysis and numerical experiments) between this model and the most common SGS model of Smagorinsky, which uses a p-Laplacian regularization. The numerical experiments for the 2-D convection-dominated convection-diffusion test problem show a clear improvement in solution quality for the new SGS model. This improvement is consistent with the bounded amount of artificial viscosity introduced by the new SGS model in the sharp transition regions.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2003.10.009