Abstract: | Compared to conventional techniques in computational fluid dynamics, the lattice Boltzmann method (LBM) seems to be a completely different approach to solve the incompressible Navier–Stokes equation. The aim of this article is to correct this impression by showing the close relation of LBM to two standard methods: relaxation schemes and explicit finite difference discretizations. As a side effect, new starting points for a discretization of the incompressible Navier–Stokes equation are obtained. © John Wiley & Sons, Inc. Numer Methods Partial Differential Eq 17:383 402, 2001 |