A POD-Based Variational Multiscale Method for Large Eddy Simulation of Turbulent Channel Flows

L. Chen; Xu Qu Hu

doi:10.1142/S0219876217500499

A POD-Based Variational Multiscale Method for Large Eddy Simulation of Turbulent Channel Flows

L. Chen, Xu Qu Hu^*

^*Corresponding author for this work

Aerodynamics

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

8 Citations (Scopus)

Abstract

A POD-based variational multiscale method (VMM) for large eddy simulation (LES) of turbulent channel flows is proposed. The incompressible Navier–Stokes equations are solved using a residual-based VMM technique, and the residual-based model coefficient is adopted from Taylor et al. [1998] “Finite element modeling of blood flow in arteries,” Comput. Methods in Appl. Mech. Eng. 158(1–2), 155–196. A generalized-(Formula presented.) method is applied for the temporal integration. Numerical results show that four or higher wall-normal modes need to be applied for reproducing most of the turbulent characteristics. Results of large vortex structures and the low velocity streaks prove that the turbulent channel flows are well estimated by the proposed approach. The statistical analysis of the turbulent velocities confirms its reliability in turbulent channel flows.

Original language	English
Number of pages	19
Journal	International Journal of Computational Methods
Volume	14
Issue number	5
DOIs	https://doi.org/10.1142/S0219876217500499
Publication status	Published - 2016

Keywords

proper orthogonal decomposition
turbulent channel flow
Variational multiscale method

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10.1142/S0219876217500499

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title = "A POD-Based Variational Multiscale Method for Large Eddy Simulation of Turbulent Channel Flows",

abstract = "A POD-based variational multiscale method (VMM) for large eddy simulation (LES) of turbulent channel flows is proposed. The incompressible Navier–Stokes equations are solved using a residual-based VMM technique, and the residual-based model coefficient is adopted from Taylor et al. [1998] “Finite element modeling of blood flow in arteries,” Comput. Methods in Appl. Mech. Eng. 158(1–2), 155–196. A generalized-(Formula presented.) method is applied for the temporal integration. Numerical results show that four or higher wall-normal modes need to be applied for reproducing most of the turbulent characteristics. Results of large vortex structures and the low velocity streaks prove that the turbulent channel flows are well estimated by the proposed approach. The statistical analysis of the turbulent velocities confirms its reliability in turbulent channel flows.",

keywords = "proper orthogonal decomposition, turbulent channel flow, Variational multiscale method",

author = "L. Chen and Hu, {Xu Qu}",

year = "2016",

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journal = "International Journal of Computational Methods",

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TY - JOUR

T1 - A POD-Based Variational Multiscale Method for Large Eddy Simulation of Turbulent Channel Flows

AU - Chen, L.

AU - Hu, Xu Qu

PY - 2016

Y1 - 2016

N2 - A POD-based variational multiscale method (VMM) for large eddy simulation (LES) of turbulent channel flows is proposed. The incompressible Navier–Stokes equations are solved using a residual-based VMM technique, and the residual-based model coefficient is adopted from Taylor et al. [1998] “Finite element modeling of blood flow in arteries,” Comput. Methods in Appl. Mech. Eng. 158(1–2), 155–196. A generalized-(Formula presented.) method is applied for the temporal integration. Numerical results show that four or higher wall-normal modes need to be applied for reproducing most of the turbulent characteristics. Results of large vortex structures and the low velocity streaks prove that the turbulent channel flows are well estimated by the proposed approach. The statistical analysis of the turbulent velocities confirms its reliability in turbulent channel flows.

AB - A POD-based variational multiscale method (VMM) for large eddy simulation (LES) of turbulent channel flows is proposed. The incompressible Navier–Stokes equations are solved using a residual-based VMM technique, and the residual-based model coefficient is adopted from Taylor et al. [1998] “Finite element modeling of blood flow in arteries,” Comput. Methods in Appl. Mech. Eng. 158(1–2), 155–196. A generalized-(Formula presented.) method is applied for the temporal integration. Numerical results show that four or higher wall-normal modes need to be applied for reproducing most of the turbulent characteristics. Results of large vortex structures and the low velocity streaks prove that the turbulent channel flows are well estimated by the proposed approach. The statistical analysis of the turbulent velocities confirms its reliability in turbulent channel flows.

KW - proper orthogonal decomposition

KW - turbulent channel flow

KW - Variational multiscale method

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DO - 10.1142/S0219876217500499

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JO - International Journal of Computational Methods

JF - International Journal of Computational Methods

IS - 5

ER -

A POD-Based Variational Multiscale Method for Large Eddy Simulation of Turbulent Channel Flows

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Keywords

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