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A lattice BGK scheme with general propagation. (English) Zbl 1039.76054
From the summary: Based on a time-splitting scheme for Boltzmann equation with discrete velocities, we propose a new LBGK scheme with general propagation step. In this model, two free parameters are introduced into the propagation step, which can be adjusted to obtain a small kinematic viscosity and improved numerical stability as well. Numerical simulations of two-dimensional Taylor vortex and unsteady Womersley flow are carried out to test the kinematic viscosity, numerical diffusion, and numerical stability of the proposed scheme.

76M28 Particle methods and lattice-gas methods
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
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