Factorization symmetry in the lattice Boltzmann method

被引：62

作者：

Karlin, Ilya ^{[1
,2
]}

Asinari, Pietro ^{[3
]}

机构：

[1] ETH, Aerothermochem & Combust Syst Lab, CH-8092 Zurich, Switzerland

[2] Univ Southampton, Sch Engn Sci, Southampton SO17 1BJ, Hants, England

[3] Politecn Torino, Dept Energet, Turin, Italy

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2010年 / 389卷 / 08期

关键词：

Kinetic theory; Lattice Boltzmann method; NAVIER-STOKES; BGK MODELS; GALILEAN INVARIANCE;

D O I：

10.1016/j.physa.2009.12.032

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A non-perturbative algebraic theory of the lattice Boltzmann method is developed based oil the syrnmetry of a product It involves three steps (i) Derivation of admissible lattices in one spatial dimension through a matching condition which imposes restricted extension of higher-order Gaussian Moments, (ii) A special quasi-equilibrium distribution function found analytically in closed form on the product-lattice in two and three spatial dimensions, and which proves the factorization of quasi-equilibrium moments, and (iii) An algebraic method of pruning based on a one-into-one relation between groups of discrete velocities and moments. Two routes of constructing lattice Boltzmann equilibria are distinguished The present theory includes previously known limiting and special cases of lattices, and enables automated derivation of lattice Boltzmann models from two-dimensional tables. by finding the roots of one polynomial and solving a few linear systems (C) 2009 Elsevier B.V. All rights reserved

引用

页码：1530 / 1548

页数：19

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