Simulating Three-Dimensional Hydrodynamics on a Cellular-Automata Machine

Christopher Adler; Bruce M. Boghosian; Eirik G. Flekkøy; Norman Margolus; Daniel H. Rothman

doi:10.1007/bf02179971

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Simulating Three-Dimensional Hydrodynamics on a Cellular-Automata Machine

Christopher Adler·Bruce M. Boghosian·Eirik G. Flekkøy·Norman Margolus·Daniel H. Rothman

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Abstract

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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Christopher Adler, Bruce M. Boghosian, Eirik G. Flekkøy, Norman Margolus, Daniel H. Rothman. 1995-08-04. Simulating Three-Dimensional Hydrodynamics on a Cellular-Automata Machine. https://doi.org/10.1007/bf02179971

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