In this article, plane and space Poiseuille flow was simulate of the lattice Boltzmann method. Because Poiseuille solution is one of the simplest solutions Navier-Stokes equations, it is well for exploring opportunities of lattice Boltzmann method. Simulation flows in plane rectangular and ellipsoidal cylindrical pipes assist to detect advantages and disadvantages of original and Dellar’s regularized lattice Boltzmann algorithm on standard lattices with different started and boundaries conditions. LBM’s main excellence is high speed of calculation, but it’s manifest imperfection is using Cartesian grids and not evident generalization on another grid’s types.
