Lattice Boltzmann method in hydrodynamics and thermophysics

The variants of two- and three-dimensional lattice Boltzmann methods (LBM) are described for computer simulations of fluids with liquid-vapor phase transitions and heat transfer. Several improvements of LBM are described (correct implementation of the body force term, "pseudoforces" for the method of "passive scalar" for internal energy and implementation of a latent heat of evaporation). The formation of rivulets in a flow along an inclined flat surface, the fall of a droplet onto a rigid nonwettable plane and the process of spinodal decomposition of initially uniform fluid are modelled.