Quartic parameters for acoustic applications of lattice Boltzmann scheme

被引：33

作者：

Dubois, Francois ^{[1
,2
]}

Lallemand, Pierre ^{[3
]}

机构：

[1] Univ Paris 11, Dept Math, F-91405 Orsay, France

[2] Conservatoire Natl Arts & Metiers, Dept Math, Paris, France

[3] CNRS, Paris, France

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2011年 / 61卷 / 12期

关键词：

Taylor expansion method; Linearized Navier-Stokes; MODIFIED EQUATIONS; FLOW; STABILITY; BOUNDARY; MODELS; FLUID;

D O I：

10.1016/j.camwa.2011.01.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using the Taylor expansion method, we show that it is possible to improve the lattice Boltzmann method for acoustic applications. We derive a formal expansion of the eigenvalues of the discrete approximation and fit the parameters of the scheme to enforce fourth order accuracy. The corresponding discrete equations are solved with the help of symbolic manipulation. The solutions are obtained in the case of D3Q27 lattice Boltzmann scheme. Various numerical tests support the coherence of this approach. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：3404 / 3416

页数：13

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