A 8-neighbor model lattice Boltzmann method applied to mathematical-physical equations

被引：8

作者：

An, Bo ^{[1
]}

Bergada, J. M. ^{[2
]}

机构：

[1] Univ Politecn Madrid, Escuela Tecn Super Ingenieros Aeronaut, Madrid 20852, Spain

[2] Univ Politecn Cataluna, ESEIAAT UPC Colom, BarcelonaTech, Terrassa 11, Barcelona 08222, Spain

来源：

APPLIED MATHEMATICAL MODELLING | 2017年 / 42卷

关键词：

8-neighbor model (9-bit model); Lattice Boltzmann method; Mathematical-physical equations; EXTRAPOLATION METHOD; BOUNDARY-CONDITIONS; SIMULATION; FLOWS;

D O I：

10.1016/j.apm.2016.10.016

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A lattice Boltzmann method (LBM) 8-neighbor model (9-bit model) is presented to solve mathematical-physical equations, such as, Laplace equation, Poisson equation, Wave equation and Burgers equation. The 9-bit model has been verified by several test cases. Numerical simulations, including 1D and 2D cases, of each problem are shown, respectively. Comparisons are made between numerical predictions and analytic solutions or available numerical results from previous researchers. It turned out that the 9-bit model is computationally effective and accurate for all different mathematical-physical equations studied. The main benefits of the new model proposed is that it is faster than the previous existing models and has a better accuracy. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：363 / 381

页数：19

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