WEIGHTED L2-STABILITY OF THE LATTICE BOLTZMANN METHOD

被引：32

作者：

Junk, Michael ^{[1
]}

Yong, Wen-An ^{[2
]}

机构：

[1] Univ Konstanz, Dept Math & Stat, D-78457 Constance, Germany

[2] Tsinghua Univ, Ctr Appl Math, Beijing 100084, Peoples R China

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 2009年 / 47卷 / 03期

关键词：

the lattice Boltzmann method; the bounce-back rule; stability analysis; weighted L-2-estimate; ASYMPTOTIC ANALYSIS; BOUNDARY-CONDITIONS; STABILITY; EQUATION; MODELS; FLOWS;

D O I：

10.1137/060675216

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article is concerned with the linearized stability of the lattice Boltzmann method both on periodic domains and on bounded domains with the bounce-back rule used at the boundaries. Under a structural hypothesis, we prove that a weighted L-2-norm of the solutions to the linearized lattice Boltzmann method is decreasing with time. Moreover, we show that the structural hypothesis holds true for many lattice Boltzmann models.

引用

页码：1651 / 1665

页数：15

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