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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

Non-Newtonian Poiseuille flow of a gas in a pipe

TL;DR: In this paper, the Bhatnagar-Gross-Krook kinetic model of the Boltzmann equation is solved for the steady cylindrical Poiseuille flow fed by a constant gravity field.
Journal ArticleDOI

Fluid-structure interaction using lattice Boltzmann method: Moving boundary treatment and discussion of compressible effect

TL;DR: Wang et al. as discussed by the authors investigated fluid-structure interaction using lattice Boltzmann method (LBM), where a new simple treatment for moving boundary was introduced, and they found a delay of fluid force in the simulation of compact cylinder array, and concluded that Mach number and boundary force term have a great influence on the accuracy of calculation results.
Journal ArticleDOI

Lagrangian Particle Approach to Large Eddy Simulations of Hydrodynamic Turbulence

TL;DR: In this paper, an energy transfer term which is quadratic in the velocity and formally time reversal invariant is proposed to simulate turbulent flows without resolving all the scales of motion.
Journal ArticleDOI

New insights into the classical mechanics of particle systems

TL;DR: In this article, the second law of thermodynamics is used to ensure that constitutive equations do not permit a violation of thermodynamic properties of particle-particle interactions, such as inertia, moment, and power balances.
Proceedings ArticleDOI

Lattice Boltzmann Simulation of Electroosmotic Flows in Micro- and Nanochannels

TL;DR: In this paper, a Lattice Boltzmann Model (LBM) with the Poisson-Boltzmann equation for charge distribution is presented for the simulation of electroosmotic transport in straight rectangular micro- and nanochannels.
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