Journal ArticleDOI
Viscous flow computations with the method of lattice Boltzmann equation
TLDR
In this paper, the lattice Boltzmann equation (LBE) is applied to high Reynolds number incompressible flows, some critical issues need to be addressed, noticeably flexible spatial resolution, boundary treatments for curved solid wall, dispersion and mode of relaxation, and turbulence model.About:
This article is published in Progress in Aerospace Sciences.The article was published on 2003-07-01. It has received 861 citations till now. The article focuses on the topics: Fluid dynamics & Reynolds number.read more
Citations
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An evaluation of lattice Boltzmann schemes for porous medium flow simulation
C. Pan,Li-Shi Luo,Cass T. Miller +2 more
TL;DR: In this article, the capability and accuracy of the lattice Boltzmann equation (LBE) for modeling flow through porous media was evaluated with the multiple-relaxation-time (MRT) and Bhatnagar-Gross-Krook (BGK) collision operators.
Journal ArticleDOI
Asymptotic analysis of the lattice Boltzmann equation
TL;DR: In this paper, the authors apply the asymptotic analysis directly to the fully discrete Boltzmann equation, as opposed to the usual practice of analyzing a continuous equation obtained through the Taylor-expansion of the LBE.
Journal Article
Two-relaxation-time Lattice Boltzmann scheme: About parametrization, velocity, pressure and mixed boundary conditions
TL;DR: In this paper, a two-relaxation-time (TRT) Lattice Boltzmann model for hydrodynamic equations with variable source terms based on equivalent equilibrium functions is derived.
Journal ArticleDOI
Numerical investigation of MHD effects on Al2O3–water nanofluid flow and heat transfer in a semi-annulus enclosure using LBM
TL;DR: In this paper, free convection heat transfer in a concentric annulus between a cold square and heated elliptic cylinders in the presence of magnetic field is investigated, and the Lattice Boltzmann method is applied to solve the governing equations.
Journal ArticleDOI
Lattice Boltzmann method for MHD natural convection heat transfer using nanofluid
TL;DR: In this paper, the lattice Boltzmann method is used to investigate magnetohydrodynamic flow utilizing Cu-water nanofluid in a concentric annulus, and numerical results for flow and heat transfer characteristics are obtained for various values of Hartmann number ( Ha ǫ = 0 to 40), nanoparticle volume fraction ( ϕ Â = 0, 0.02, 0., 0.04 and 0.06), Rayleigh number ( Ra Â= 10 4,10 5 and 10 6 ), and aspect ratio ( λ Â
References
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Journal ArticleDOI
General circulation experiments with the primitive equations
TL;DR: In this article, an extended period numerical integration of a baroclinic primitive equation model has been made for the simulation and the study of the dynamics of the atmosphere's general circulation, and the solution corresponding to external gravitational propagation is filtered by requiring the vertically integrated divergence to vanish identically.
Journal ArticleDOI
A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems
TL;DR: In this paper, a kinetic theory approach to collision processes in ionized and neutral gases is presented, which is adequate for the unified treatment of the dynamic properties of gases over a continuous range of pressures from the Knudsen limit to the high pressure limit where the aerodynamic equations are valid.
Journal ArticleDOI
Lattice boltzmann method for fluid flows
Shiyi Chen,Gary D. Doolen +1 more
TL;DR: An overview of the lattice Boltzmann method, a parallel and efficient algorithm for simulating single-phase and multiphase fluid flows and for incorporating additional physical complexities, is presented.
Small amplitude processes in charged and neutral one-component systems
TL;DR: In this article, a kinetic theory approach to collision processes in ionized and neutral gases is presented, which is adequate for the unified treatment of the dynamic properties of gases over a continuous range of pressures from the Knudsen limit to the high pressure limit where the aerodynamic equations are valid.
Journal ArticleDOI
Lattice BGK Models for Navier-Stokes Equation
TL;DR: In this article, the Navier-Stokes equation is obtained from the kinetic BGK equation at the second-order approximation with a properly chosen equilibrium distribution, with a relaxation parameter that influences the stability of the new scheme.