Accuracy of the Lattice-Boltzmann Method-Reference-Cited by-同舟云学术

Accuracy of the Lattice-Boltzmann Method

Published:1997-08 Issue:04 Volume:08 Page:747-752
ISSN:0129-1831
Container-title:International Journal of Modern Physics C
language:en
Short-container-title:Int. J. Mod. Phys. C

Author:

Maier Robert S.¹,Bernard Robert S.²

Affiliation:

1. Army High Performance Computing Research Center, 1100 Washington Avenue So., Minneapolis, MN 55415, USA

2. Waterways Experiment Station, Corps of Engineers, 3909 Halls Ferry Road, Vicksburg, MS 39180-6199, USA

Abstract

The accuracy of the lattice-Boltzmann method (LBM) is moderated by several factors, including Mach number, spatial resolution, boundary conditions, and the lattice mean free path. Results obtained with 3D lattices suggest that the accuracy of certain two-dimensional (2D) flows, such as Poiseuille and Couette flow, persist even when the mean free path between collisions is large, but that of the 3D duct flow deteriorates markedly when the mean free path exceeds the lattice spacing. Accuracy in general decreases with Knudsen number and Mach number, and the product of these two quantities is a useful index for the applicability of LBM to 3D low-Reynolds-number flow. The influence of boundary representations on LBM accuracy is captured by the proposed index, when the accuracy of the prescribed boundary conditions is consistent with that of LBM.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computational Theory and Mathematics,Computer Science Applications,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129183197000631

Reference12 articles.

1. Use of the Boltzmann Equation to Simulate Lattice-Gas Automata

2. Boltzmann Approach to Lattice Gas Simulations

3. A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems

4. Recovery of the Navier-Stokes equations using a lattice-gas Boltzmann method

5. Accuracy of discrete-velocity BGK models for the simulation of the incompressible Navier-Stokes equations

Cited by 15 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Analysis of the Lattice Boltzmann Equation;The Lattice Boltzmann Method;2016-11-08

2. Lattice-Boltzmann accuracy in pore-scale flow simulation;Journal of Computational Physics;2010-01

3. Comparison between lattice Boltzmann method and Navier–Stokes high order schemes for computational aeroacoustics;Journal of Computational Physics;2009-03

4. Multiple-relaxation-time model for the correct thermohydrodynamic equations;Physical Review E;2008-08-12

5. NATURAL CONVECTION STUDY IN AN ENCLOSURE WITH DIFFERENT ASPECT RATIOS;International Journal of Modern Physics C;2007-12