Application of spectral forcing in lattice-Boltzmann simulations of homogeneous turbulence

A. ten Cate; E. van Vliet; J. J. Derksen; H. E. A. Van den Akker

doi:10.1016/j.compfluid.2005.06.001

Application of spectral forcing in lattice-Boltzmann simulations of homogeneous turbulence

A. ten Cate, E. van Vliet, J. J. Derksen^*, H. E. A. Van den Akker

^*Corresponding author for this work

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Abstract

An efficient numerical method for the direct simulation of homogeneous turbulent flow has been obtained by combining a spectral forcing algorithm for homogeneous turbulence with a lattice-Boltzmann scheme for solution of the continuity and NavierStokes equations. The spectral forcing scheme of Alvelius [Alvelius K. Random forcing of three-dimensional homogeneous turbulence. Phys Fluids 1999; 11(7):1880-89] is used which allows control of the power input by eliminating the force-velocity correlation in the Fourier domain and enables anisotropic forcing. A priori chosen properties such as the Kolmogorov length scale, the integral length scale and the integral time scale are recovered. This demonstrates that the scheme works accurately with the lattice-Boltzmann method and that all specific features of the forcing scheme are recovered in the lattice-Boltzmann implementation. (c) 2005 Elsevier Ltd. All rights reserved.

Original language	English
Pages (from-to)	1239-1251
Number of pages	13
Journal	Computers & Fluids
Volume	35
Issue number	10
DOIs	https://doi.org/10.1016/j.compfluid.2005.06.001
Publication status	Published - Dec 2006

Keywords

DIRECT NUMERICAL SIMULATIONS
EQUATION
SCHEME
FLOW

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10.1016/j.compfluid.2005.06.001

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title = "Application of spectral forcing in lattice-Boltzmann simulations of homogeneous turbulence",

abstract = "An efficient numerical method for the direct simulation of homogeneous turbulent flow has been obtained by combining a spectral forcing algorithm for homogeneous turbulence with a lattice-Boltzmann scheme for solution of the continuity and NavierStokes equations. The spectral forcing scheme of Alvelius [Alvelius K. Random forcing of three-dimensional homogeneous turbulence. Phys Fluids 1999; 11(7):1880-89] is used which allows control of the power input by eliminating the force-velocity correlation in the Fourier domain and enables anisotropic forcing. A priori chosen properties such as the Kolmogorov length scale, the integral length scale and the integral time scale are recovered. This demonstrates that the scheme works accurately with the lattice-Boltzmann method and that all specific features of the forcing scheme are recovered in the lattice-Boltzmann implementation. (c) 2005 Elsevier Ltd. All rights reserved.",

keywords = "DIRECT NUMERICAL SIMULATIONS, EQUATION, SCHEME, FLOW",

author = "{ten Cate}, A. and {van Vliet}, E. and Derksen, {J. J.} and {Van den Akker}, {H. E. A.}",

year = "2006",

month = dec,

doi = "10.1016/j.compfluid.2005.06.001",

language = "English",

volume = "35",

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TY - JOUR

T1 - Application of spectral forcing in lattice-Boltzmann simulations of homogeneous turbulence

AU - ten Cate, A.

AU - van Vliet, E.

AU - Derksen, J. J.

AU - Van den Akker, H. E. A.

PY - 2006/12

Y1 - 2006/12

N2 - An efficient numerical method for the direct simulation of homogeneous turbulent flow has been obtained by combining a spectral forcing algorithm for homogeneous turbulence with a lattice-Boltzmann scheme for solution of the continuity and NavierStokes equations. The spectral forcing scheme of Alvelius [Alvelius K. Random forcing of three-dimensional homogeneous turbulence. Phys Fluids 1999; 11(7):1880-89] is used which allows control of the power input by eliminating the force-velocity correlation in the Fourier domain and enables anisotropic forcing. A priori chosen properties such as the Kolmogorov length scale, the integral length scale and the integral time scale are recovered. This demonstrates that the scheme works accurately with the lattice-Boltzmann method and that all specific features of the forcing scheme are recovered in the lattice-Boltzmann implementation. (c) 2005 Elsevier Ltd. All rights reserved.

AB - An efficient numerical method for the direct simulation of homogeneous turbulent flow has been obtained by combining a spectral forcing algorithm for homogeneous turbulence with a lattice-Boltzmann scheme for solution of the continuity and NavierStokes equations. The spectral forcing scheme of Alvelius [Alvelius K. Random forcing of three-dimensional homogeneous turbulence. Phys Fluids 1999; 11(7):1880-89] is used which allows control of the power input by eliminating the force-velocity correlation in the Fourier domain and enables anisotropic forcing. A priori chosen properties such as the Kolmogorov length scale, the integral length scale and the integral time scale are recovered. This demonstrates that the scheme works accurately with the lattice-Boltzmann method and that all specific features of the forcing scheme are recovered in the lattice-Boltzmann implementation. (c) 2005 Elsevier Ltd. All rights reserved.

KW - DIRECT NUMERICAL SIMULATIONS

KW - EQUATION

KW - SCHEME

KW - FLOW

U2 - 10.1016/j.compfluid.2005.06.001

DO - 10.1016/j.compfluid.2005.06.001

M3 - Article

SN - 0045-7930

VL - 35

SP - 1239

EP - 1251

JO - Computers & Fluids

JF - Computers & Fluids

IS - 10

ER -

Application of spectral forcing in lattice-Boltzmann simulations of homogeneous turbulence

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Keywords

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