Bias in the direct numerical simulation of isotropic turbulence using the lattice Boltzmann method

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Abstract

Direct numerical simulation of homogeneous, isotropic turbulence using the lattice Boltzmann method is revised. Two-point pressure and velocity correlations are studied and analytical results are derived taking into account the dynamics of the lattice Boltzmann equation. Using the parameters of a two-dimensional (D2Q9) and a three-dimensional (D3Q19) model, it is demonstrated that correlation functions obtained from lattice Boltzmann simulations may have systematic errors at large separation distances due to the second-order error terms.

Original languageEnglish
Article number036705
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume71
Issue number3
DOIs
Publication statusPublished - Mar 2005

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Lattice Boltzmann Equation
isotropic turbulence
Systematic Error
Lattice Boltzmann
Lattice Boltzmann Method
Error term
direct numerical simulation
Correlation Function
Turbulence
Three-dimensional
Simulation
three dimensional models
systematic errors
Model
Direct numerical Simulation
simulation

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

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abstract = "Direct numerical simulation of homogeneous, isotropic turbulence using the lattice Boltzmann method is revised. Two-point pressure and velocity correlations are studied and analytical results are derived taking into account the dynamics of the lattice Boltzmann equation. Using the parameters of a two-dimensional (D2Q9) and a three-dimensional (D3Q19) model, it is demonstrated that correlation functions obtained from lattice Boltzmann simulations may have systematic errors at large separation distances due to the second-order error terms.",
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