# 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 fluids[edit]

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.

## References[edit]

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