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