On the Modification of Lattice Boltzmann Method for the Modelling of Viscous Incompressible Flows

Modification of the lattice Boltzmann method for computation of viscous incompressible fluid flows is proposed.<br/>The method is based on the splitting of differential operator in Navier - Stokes equation and on the idea of<br/>instantaneous Maxwellisation of distribution function. The method is based on explicit schemes and didn't<br/>have any problems with parallelization of computations. The stability of the method is demonstrated using<br/>von Neumann method in a wide range of input parameter values. The efficiency of the method proposed is<br/>demonstrated on the solution of the problem on the planar cavity flow.