Cellular Automata/Fluid Dynamics

The basic idea of simulating fluid dynamics with cellular automata is implementing particle dynamics as cellular automata rules and fluid dynamics would emerge as mean properties of

Differential equation model for incompressible fluidsEdit

We are interested in the flow velocity   that is defined by two differential equations

Navier-Stokes equation
continuity equation

  is the kinematic pressure,   is the pressure,   constant mass density and   is the kinematic share viscosity.


  1. Dieter A. Wolf-Gladrow, Lattice-Gas Cellular Automata and Lattice Boltzmann Models An Introduction, Springer 2000