Analysis of lattice Boltzmann nodes initialisation in moving boundary problems

被引：60

作者：

Caiazzo, A. ^{[1
]}

机构：

[1] Fraunhofer ITWM, D-67663 Kaiserslautern, Germany

来源：

PROGRESS IN COMPUTATIONAL FLUID DYNAMICS | 2008年 / 8卷 / 1-4期

关键词：

lattice Boltzmann equation; lattice Boltzmann initialisation; asymptotic analysis;

D O I：

10.1504/PCFD.2008.018074

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

The lattice Boltzmann method (LBM) is a numerical scheme based on a fixed grid. Dealing with moving boundary problems, proper routines are needed to initialise the variables at the new nodes, created by the variations of the computational fluid domain. We use asymptotic analysis to investigate the problem and possible solutions. A simple algorithm is proposed, able to achieve the same accuracy as the standard LBM. The theoretical predictions are tested on simple benchmarks.

引用

页码：3 / 10

页数：8

共 13 条

[1] Benzi R., 1992, PHYS REP, V222, P3
[2] Momentum transfer of a Boltzmann-lattice fluid with boundaries
Bouzidi, M
Firdaouss, M
Lallemand, P
[J]. PHYSICS OF FLUIDS, 2001, 13 (11) : 3452 - 3459
[3] CAIAZZO A, 2007, IN PRESS COMPUTERS M
[4] GALDI GP, 1998, INTRO MATH THEORY NA, V1
[5] Multireflection boundary conditions for lattice Boltzmann models -: art. no. 066614
Ginzburg, I
d'Humières, D
[J]. PHYSICAL REVIEW E, 2003, 68 (06): : 666141 - 666143
[6] An extrapolation method for boundary conditions in lattice Boltzmann method
Guo, ZL
Zheng, CG
Shi, BC
[J]. PHYSICS OF FLUIDS, 2002, 14 (06) : 2007 - 2010
[7] One-point boundary condition for the lattice Boltzmann method
Junk, M
Yang, ZX
[J]. PHYSICAL REVIEW E, 2005, 72 (06):
[8] Asymptotic analysis of the lattice Boltzmann equation
Junk, M
Klar, A
Luo, LS
[J]. JOURNAL OF COMPUTATIONAL PHYSICS, 2005, 210 (02) : 676 - 704
[9] Lattice Boltzmann method for moving boundaries
Lallemand, P
Luo, LS
[J]. JOURNAL OF COMPUTATIONAL PHYSICS, 2003, 184 (02) : 406 - 421
[10] Larned J. N., 1894, PSYCHOL REV, P1, DOI DOI 10.1037/H0064711

← 1 2 →