Lattice Boltzmann Method

The lattice Boltzmann method is a discrete computational method based upon the lattice gas automata — a simplified, fictitious molecular model. It consists of three basic tasks: lattice Boltzmann equation, lattice pattern and local equilibrium distribution function. The former two are standard, which is the same for fluid flows. The latter determines what flow equations are solved by the lattice Boltzmann model, which is often derived for certain flow equations such as the equations for shallow water flows. These tasks are described in this chapter and some related aspects are also discussed.