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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

Lattice-Boltzmann hydrodynamics on parallel systems

TL;DR: It is shown that high parallel efficiencies can be obtained for both homogeneously and heterogeneously distributed workloads, thus supporting efficient simulations of a variety of realistic systems.
Journal ArticleDOI

Lattice gas automata for reactive systems

TL;DR: The reactive lattice gas automata scheme is described in terms of a simple physical picture to show how an automaton can be constructed to capture the essentials of a reactive molecular dynamics scheme.
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Hybrid lattice-Boltzmann finite-difference simulation of convective flows

TL;DR: In this article, the principle of lattice-Boltzmann techniques is recalled and some of the difficulties to simulate convective flows are discussed, and a hybrid scheme with lattice Boltzmann for fluid velocity variables and finite-difference for the temperature is proposed.
Journal ArticleDOI

A review of volume‐area scaling of glaciers

TL;DR: In this paper, the authors describe the general theory of scaling for glaciers in full three-dimensional detail without simplifications, including an improved derivation of both the volume-area scaling exponent γ and a new multiplicative scaling parameter c. The application of the theory is not entirely straightforward, however, and many of the recently published results contain analyses that are in conflict with the theory as originally described by Bahr et al.
Journal ArticleDOI

A Review on the development of lattice Boltzmann computation of macro fluid flows and heat transfer

TL;DR: The present LBM is hyperbolic and can be solved locally, explicitly, and efficiently on parallel computers and gives progress in the area of incompressible fluid flows, compressable fluid flows and free surface flows.
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