Simulating Uniform Motion in Lattice Computers I : Constant Speed Particle
نویسندگان
چکیده
Euclidean n-space can be discretely represented as an n-dimensional lattice, and a mesh computer can be naturally associated with each (possibly nite) subset of such a lattice, where the processors are at the lattice points in the subset and the mesh's interconnections correspond to minimal length vectors between the lattice points associated with processors. An algorithm template is presented for analogical simulation, in such mesh computers, of constant speed, particle motion in euclidean n-space, and a particular instance of the template is reened for constant speed straight-line particle translation. Discussed are the possibilties of using this algorithm for simulating constant speed solid body motion and the possible utility of this algorithm for circumventing, in a new way, the diiculties, pointed out by Frisch and Hasslacher, in simulating 3-dimensional uid ow in lattice gas cellular automata.
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