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.
|Journal||Physical Review E - Statistical, Nonlinear, and Soft Matter Physics|
|Publication status||Published - Mar 1 2005|
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics