Lattice Boltzmann method: simulation of isothermal low-speed flows

In this work, lattice Boltzmann method on standard lattices was descript as one of the modern method of computation fluid dynamics. The article has main theorems, which prove computational algorithm, different type’s boundary conditions and defect in Galilean invariance. Moreover, the paper has some theoretical background about physical kinetic theory, Hermite polynomials and numeric integration. Here has not any new scientist discoveries, but has explanation of basic lattice Boltzmann theory.