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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

On the small-scale dynamical behavior of lattice BGK and lattice Boltzmann schemes

TL;DR: A quantitative assessment of the validity of the lattice BGK and lattice Bolzmann schemes is presented for the two-dimensional weakly compressible Kolmogorov flow and it turns out the lattices BGK is more robust than lattice bolzmann by increasing the Reynolds numbers.
Journal ArticleDOI

Multifractal and entropic properties of landslides in Japan

TL;DR: In this paper, the authors analyzed landslide distributions in two major areas of northern Japan, Tohoku and Hokkaido, for multifractal properties and concluded that the fields possess definite multifractality character.
Journal ArticleDOI

A lattice Boltzmann coupled to finite volumes method for solving phase change problems

TL;DR: In this paper, a numerical scheme coupling lattice Boltzmann and finite volumes approaches has been developed and qualified for test cases of phase change problems, where coupled partial differential equations of momentum conservation equations are solved with a non-uniform LBS method.
Book ChapterDOI

Simulating granular media on the computer

TL;DR: In this paper, the modeling of granular medium on a computer by simulating a packing of elastic spheres via molecular dynamics is discussed. And the authors compare this behavior to deterministic one-dimensional traffic models, and show self-organized critical jamming behind a slower car.
Journal ArticleDOI

Lattice Boltzmann Scheme for Simulating Two-Phase Flows.

TL;DR: In this paper, a finite difference lattice Boltzmann method (FDLBM) for two-phase flows pertinent to isothermal non-ideal fluids is proposed, which introduces pseudo-potential and recovers a full set of hydrodynamic equations for nonideal fluid through the Chapman-Enskog expansion procedure.
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