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

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

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 Navier-Stokes 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.

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

Access to Document

10.1016/j.compfluid.2005.06.001

Cite this

@article{7912e9dfcd244261a169a3dc2c85bfbe,

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 Navier-Stokes 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.",

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

year = "2006",

month = dec,

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

language = "English",

volume = "35",

pages = "1239--1251",

journal = "Computers and Fluids",

issn = "0045-7930",

number = "10",

}

TY - JOUR

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

AU - Cate, A. ten

AU - Vliet, E. van

AU - Derksen, J. J.

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

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 Navier-Stokes 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.

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 Navier-Stokes 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.

UR - https://www.scopus.com/pages/publications/33747833094

U2 - 10.1016/j.compfluid.2005.06.001

DO - 10.1016/j.compfluid.2005.06.001

M3 - Article

AN - SCOPUS:33747833094

SN - 0045-7930

VL - 35

SP - 1239

EP - 1251

JO - Computers and Fluids

JF - Computers and Fluids

IS - 10

ER -

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

Abstract

Access to Document

Other files and links

Fingerprint

Cite this