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Lattice-Gas Automata for the Navier-Stokes Equation

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TLDR
It is shown that a class of deterministic lattice gases with discrete Boolean elements simulates the Navier-Stokes equation, anc, and can be used to design simple, massively parallel computing machines.
Abstract
We show that a class of deterministic lattice gases with discrete Boolean elements simulates the Navier-Stokes equation, anc can be used to design simple, massively parallel computing machines.

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Journal ArticleDOI

Dimension-Splitting for Simplifying Diffusion in Lattice-Gas Models

TL;DR: In this article, a simplified technique for incorporating diffusive phenomena into lattice-gas molecular dynamics models is introduced, where spatial interactions take place one dimension at a time, with a separate fractional timestep devoted to each dimension, and with all dimensions treated identically.
Journal ArticleDOI

Lattice gas automaton simulation of acoustic streaming in a two-dimensional pipe

TL;DR: In this paper, the lattice gas automaton fluid modelling technique is used to study acoustic streaming phenomena arising from the interaction of sound waves with no-slip boundaries in a two-dimensional pipe.
Dissertation

The I/O bulb and the luminous room

TL;DR: A new device called the I/O Bulb is introduced, an evolution of the common lightbulb capable of emitting structured light and performing simultaneous optical capture, and this basic notion is extended to suggest an architecture called the Luminous Room, in which every portion of an enclosed space is treated by one or another of many coordinated I/ O Bulbs.
Journal ArticleDOI

Cellular automata in 1+1, 2+1 and 3+1 dimensions, constants of motion and coherent structures

TL;DR: A general method to construct nonlinear cellular automata in arbitrary space dimensions from the compatibility of pairs of linear operators is developed, giving examples in 1 + 1, 2 + 1 and 3 + 1 dimensions.
Journal ArticleDOI

Maxwellian gas undergoing a stationary Poiseuille flow in a pipe

TL;DR: In this article, the hierarchy of moment equations derived from the nonlinear Boltzmann equation is solved for a gas of Maxwell molecules undergoing a stationary Poiseuille flow induced by an external force in a pipe.
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