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

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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 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.",

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AU - Cate, A. ten

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AU - Derksen, J. J.

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

PY - 2006/12

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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.

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VL - 35

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JO - Computers and Fluids

JF - Computers and Fluids

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

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