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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Bibliographic Details
Published in:Computer methods in applied mechanics and engineering Vol. 237-240; pp. 10 - 26
Main Authors: Wang, Zhu, Akhtar, Imran, Borggaard, Jeff, Iliescu, Traian
Format: Journal Article
Language:English
Published: Kidlington Elsevier B.V 01.09.2012
Elsevier
Subjects:
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
Online Access:Get full text
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Summary: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.
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ISSN:0045-7825
1879-2138
DOI:10.1016/j.cma.2012.04.015