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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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Setting the length and time scales of a cellular automaton dune model from the analysis of superimposed bed forms

TL;DR: In this article, a 3D cellular automaton model for bed form dynamics is presented, in which individual physical processes such as erosion, deposition, and transport are implemented by nearest neighbor interactions and a time-dependent stochastic process.
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Simulation of the rock microfracturing process under uniaxial compression using an elasto-plastic cellular automaton

TL;DR: In this article, an elasto-plastic cellular automaton (EPCA) with the associated code was developed to simulate the non-linear fracturing process of rocks under uniaxial compression.
Journal ArticleDOI

Truncation error analysis of lattice Boltzmann methods

TL;DR: In this paper, a truncation error analysis for models based on the lattice Boltzmann (LB) equation is performed, which involves two steps: the recursive application of the LB equation and a Taylor series expansion.
Journal ArticleDOI

Eddy Formation in Obstructed Fluid Flow: A Molecular-Dynamics Study

TL;DR: Pour des nombres de Reynolds suffisamment eleves le champ d'ecoulement presente des caracteristiques communes aux fluides reels en particulier l'apparition de tourbillons, des decollements de tourbillon et un sillage oscillatoire.
Journal ArticleDOI

An enthalpy-based lattice Boltzmann model for diffusion dominated solid liquid phase transformation

TL;DR: In this article, an extended lattice Boltzmann (LB) formulation is developed for simulation of three-dimensional heat diffusion, coupled with solid-liquid phase transition aspects, which is subsequently utilized to simulate a generic laser surface melting process and compared with the continuum model results obtained by solving the governing equation for energy transport.
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