title: Bias in the direct numerical simulation of isotropic turbulence using the lattice Boltzmann method.
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.
authors.affiliation: Simulator Development Department, KFKI Atomic Energy Research Institute, Budapest, Hungary. gah@sunserve.kfki.hu
authors.forename: Gábor
authors.initials: G
authors.lastname: Házi