Cellular Automata/Fluid Dynamics

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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]

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