BGK-based scheme for multicomponent flow calculations
Journal of Computational Physics
A gas-kinetic scheme for multimaterial flows and its application in chemical reactions
Journal of Computational Physics
A non-linear lattice-Boltzmann model for ideal miscible fluids
Future Generation Computer Systems - Special issue: Computational science of lattice Boltzmann modelling
Asymptotic analysis of the lattice Boltzmann equation
Journal of Computational Physics
Using Cahn-Hilliard mobility to simulate coalescence dynamics
Computers & Mathematics with Applications
Journal of Computational Physics
Modelling of high pressure binary droplet collisions
Computers & Mathematics with Applications
Boundary conditions for thermal lattice Boltzmann equation method
Journal of Computational Physics
Lattice Boltzmann method for the convection-diffusion equation in curvilinear coordinate systems
Journal of Computational Physics
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A new lattice Boltzmann model for simulating ideal mixtures has been developed by means of the multiple-relaxation-time (MRT) approach. When compared with the previous single-relaxation-time (SRT) formulation of the same model, based on the continuous kinetic theory, the new model offers the possibility to independently tune the mutual diffusivity and the effects of cross collisions on the effective stress tensor. The additional degrees of freedom, due to the increased set of relaxation time constants used for modeling the cross collisions, allow us to match the experimental data on macroscopic transport coefficients. Two different integration rules, i.e. the forward Euler and the modified mid-point integration rule, were used in order to numerically integrate the developed model. Unfortunately the simpler forward Euler integration rule violates the mass conservation and there is no way to fix the problem by changing the definition of the macroscopic velocity. On the other hand, a small correction has been purposely designed for compensating this error by means of the mid-point integration rule. Some numerical simulations are reported for proving the effectiveness of the proposed corrective factor. For the considered application, the asymptotic analysis, recently suggested as an effective tool for analyzing the macroscopic equations corresponding to the lattice Boltzmann schemes, offers a remarkable advantage in comparison with the classical Chapman-Enskog technique, because it easily deals with leading terms in the distribution functions, which are no more Maxwellian.