Proper orthogonal decomposition closure models for turbulent flows: A numerical comparison

This paper puts forth two new closure models for the proper orthogonal decomposition reduced-order modeling of structurally dominated turbulent flows: the dynamic subgrid-scale model and the variational multiscale model. These models, which are considered state-of-the-art in large eddy simulation, t...

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Vydané v:	Computer methods in applied mechanics and engineering Ročník 237-240; s. 10 - 26
Hlavní autori:	Wang, Zhu, Akhtar, Imran, Borggaard, Jeff, Iliescu, Traian
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Kidlington Elsevier B.V 01.09.2012 Elsevier
Predmet:	Computational fluid dynamics Computational methods in fluid dynamics Computer simulation Dynamic subgrid-scale model Dynamics Exact sciences and technology Fluid dynamics Fluid flow Fundamental areas of phenomenology (including applications) Large eddy simulation Mathematical models Physics Proper Orthogonal Decomposition Reduced-order modeling Turbulence Turbulence simulation and modeling Turbulent flow Turbulent flows, convection, and heat transfer Variational multiscale model Dynamic subgrid-scale model Proper orthogonal decomposition Turbulence Large eddy simulation Variational multiscale model Reduced-order modeling Performance evaluation Mixing Turbulent flow Scale models Scaling laws Variational calculus Modelling Karhunen-Loeve transforms Reduced order systems Kinetic energy Dynamic model Singular value decomposition Computational fluid dynamics Subgrid scale method Spectra Reynolds stress Closure model Reduction method Multiscale method Principal component analysis
ISSN:	0045-7825, 1879-2138
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Popis
Shrnutí:	This paper puts forth two new closure models for the proper orthogonal decomposition reduced-order modeling of structurally dominated turbulent flows: the dynamic subgrid-scale model and the variational multiscale model. These models, which are considered state-of-the-art in large eddy simulation, together with the mixing length and the Smagorinsky closure models, are tested in the numerical simulation of 3D turbulent flow past a circular cylinder at Re=1000. Five criteria are used to judge the performance of the proper orthogonal decomposition reduced-order models: the kinetic energy spectrum, the mean velocity, the Reynolds stresses, the root mean square values of the velocity fluctuations, and the time evolution of the POD coefficients. All the numerical results are benchmarked against a direct numerical simulation. Based on these numerical results, we conclude that the dynamic subgrid-scale and the variational multiscale models are the most accurate.
Bibliografia:	ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23
ISSN:	0045-7825 1879-2138
DOI:	10.1016/j.cma.2012.04.015