Simulation of evaporation by an extension of the pseudopotential lattice Boltzmann method: a quantitative analysis.

An extension of the pseudopotential lattice Boltzmann method is introduced to simulate heat transfer problems involving phase transition. Using this model, evaporation through a plane interface and two-phase Poiseuille flow were simulated and the macroscopic jump conditions were utilized to evaluate the accuracy of the method. We have found that the simulation results are in very good agreement with the analytical solutions as far as we take into account the extent of the interface during the evaluation.

Regional statistics in confined two-dimensional decaying turbulence.

Two-dimensional decaying turbulence in a square container has been simulated using the lattice Boltzmann method. The probability density function (PDF) of the vorticity and the particle distribution functions have been determined at various regions of the domain. It is shown that, after the initial stage of decay, the regional area averaged enstrophy fluctuates strongly around a mean value in time.

Modeling heat transfer in supercritical fluid using the lattice Boltzmann method.

A lattice Boltzmann model has been developed to simulate heat transfer in supercritical fluids. A supercritical viscous fluid layer between two plates heated from the bottom has been studied. It is demonstrated that the model can be used to study heat transfer near the critical point where the so-called piston effect speeds up the transfer of heat and results in homogeneous heating in the bulk of the layer.

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

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.

Accuracy of the lattice Boltzmann method based on analytical solutions.

In this paper, a simple method is proposed to obtain steady analytical solutions for the lattice Boltzmann method. Based on such analytical results, it is demonstrated how the accuracy of the lattice Boltzmann method can depend on the relative orientation of the lattice and the flow field. It is also demonstrated that the method can be useful to obtain a general class of analytical solutions for the lattice Boltzmann method.