Simulating Three-Dimensional Hydrodynamics on a Cellular-Automata Machine

Details Simulating Three-Dimensional Hydrodynamics on a Cellular-Automata Machine Simulating Three-Dimensional Hydrodynamics on a Cellular-Automata Machine

1995-08-04

arxiv.org/abs/chao-dyn/9508001v1

Nonlinear Sciences

Chaotic Dynamics

19 pages, REVTeX and epsf macros required

Scientific paper

10.1007/BF02179971

We demonstrate how three-dimensional fluid flow simulations can be carried out on the Cellular Automata Machine 8 (CAM-8), a special-purpose computer for cellular-automata computations. The principal algorithmic innovation is the use of a lattice-gas model with a 16-bit collision operator that is specially adapted to the machine architecture. It is shown how the collision rules can be optimized to obtain a low viscosity of the fluid. Predictions of the viscosity based on a Boltzmann approximation agree well with measurements of the viscosity made on CAM-8. Several test simulations of flows in simple geometries -- channels, pipes, and a cubic array of spheres -- are carried out. Measurements of average flux in these geometries compare well with theoretical predictions.

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