On Large Eddy Simulation and Variational Multiscale Methods in the numerical simulation of turbulent incompressible flows

Volker John

Applications of Mathematics (2006)

  • Volume: 51, Issue: 4, page 321-353
  • ISSN: 0862-7940

Abstract

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Numerical simulation of turbulent flows is one of the great challenges in Computational Fluid Dynamics (CFD). In general, Direct Numerical Simulation (DNS) is not feasible due to limited computer resources (performance and memory), and the use of a turbulence model becomes necessary. The paper will discuss several aspects of two approaches of turbulent modeling—Large Eddy Simulation (LES) and Variational Multiscale (VMS) models. Topics which will be addressed are the detailed derivation of these models, the analysis of commutation errors in LES models as well as other results from mathematical analysis.

How to cite

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John, Volker. "On Large Eddy Simulation and Variational Multiscale Methods in the numerical simulation of turbulent incompressible flows." Applications of Mathematics 51.4 (2006): 321-353. <http://eudml.org/doc/33258>.

@article{John2006,
abstract = {Numerical simulation of turbulent flows is one of the great challenges in Computational Fluid Dynamics (CFD). In general, Direct Numerical Simulation (DNS) is not feasible due to limited computer resources (performance and memory), and the use of a turbulence model becomes necessary. The paper will discuss several aspects of two approaches of turbulent modeling—Large Eddy Simulation (LES) and Variational Multiscale (VMS) models. Topics which will be addressed are the detailed derivation of these models, the analysis of commutation errors in LES models as well as other results from mathematical analysis.},
author = {John, Volker},
journal = {Applications of Mathematics},
keywords = {incompressible turbulent flows; Large Eddy Simulation (LES); commutation errors; Variational Multiscale (VMS) methods; incompressible turbulent flows; commutation errors},
language = {eng},
number = {4},
pages = {321-353},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On Large Eddy Simulation and Variational Multiscale Methods in the numerical simulation of turbulent incompressible flows},
url = {http://eudml.org/doc/33258},
volume = {51},
year = {2006},
}

TY - JOUR
AU - John, Volker
TI - On Large Eddy Simulation and Variational Multiscale Methods in the numerical simulation of turbulent incompressible flows
JO - Applications of Mathematics
PY - 2006
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 51
IS - 4
SP - 321
EP - 353
AB - Numerical simulation of turbulent flows is one of the great challenges in Computational Fluid Dynamics (CFD). In general, Direct Numerical Simulation (DNS) is not feasible due to limited computer resources (performance and memory), and the use of a turbulence model becomes necessary. The paper will discuss several aspects of two approaches of turbulent modeling—Large Eddy Simulation (LES) and Variational Multiscale (VMS) models. Topics which will be addressed are the detailed derivation of these models, the analysis of commutation errors in LES models as well as other results from mathematical analysis.
LA - eng
KW - incompressible turbulent flows; Large Eddy Simulation (LES); commutation errors; Variational Multiscale (VMS) methods; incompressible turbulent flows; commutation errors
UR - http://eudml.org/doc/33258
ER -

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