Simulating Three-Dimensional Hydrodynamics on a Cellular-Automata Machine
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.
Cite
@article{arxiv.chao-dyn/9508001,
title = {Simulating Three-Dimensional Hydrodynamics on a Cellular-Automata Machine},
author = {Christopher Adler and Bruce M. Boghosian and Eirik G. Flekkøy and Norman Margolus and Daniel H. Rothman},
journal= {arXiv preprint arXiv:chao-dyn/9508001},
year = {2009}
}
Comments
19 pages, REVTeX and epsf macros required