On the computation of viscous fluid flows by the lattice Boltzmann method

Modification of the lattice Boltzmann method for computation of viscous Newtonian fluid flows is considered. Modified method is based on the splitting of differential operator in Navier–Stokes equation andon the idea of instantaneous Maxwellisation of distribution function. The problems for the system of lattice kinetic equations and for the system of linear diffusion equations are solved while one time step is realized. The efficiency of the method proposed in comparison with the ordinary lattice Boltzmann method is demonstrated on the solution of the problem of planar flow in cavern in wide range of Reynolds number and various grid resolution.