Two-dimensional interpolation-supplemented and Taylor-series expansion-based lattice Boltzmann method and its application

Two-dimensional interpolation-supplemented and Taylor-series expansion-based lattice Boltzmann method (ITLBM) is proposed to simulate flows in the non-uniform grids. The proposed method is based on the standard lattice Boltzmann method, interpolation-supplemented and Taylor-series expansion. The fin...

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Published inCommunications in nonlinear science & numerical simulation Vol. 12; no. 7; pp. 1162 - 1171
Main Authors Han, Shan-Ling, Zhu, Ping, Lin, Zhong-Qin
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.10.2007
Subjects
ITLBM
Lattice Boltzmann method
Non-uniform grids
Recirculation length
ITLBM
Non-uniform grids
Recirculation length
Lattice Boltzmann method
47.11.+j
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Summary:Two-dimensional interpolation-supplemented and Taylor-series expansion-based lattice Boltzmann method (ITLBM) is proposed to simulate flows in the non-uniform grids. The proposed method is based on the standard lattice Boltzmann method, interpolation-supplemented and Taylor-series expansion. The final formulation can be used on any mesh structure and lattice Boltzmann model. Numerical test of a two-dimensional channel flow around a square cylinder has been studied. The computational efficient and recirculation length at Re=1, 15 are obtained. Comparing the results from the ITLBM with those from the standard LBM, it has been concluded that the proposed method has good prospects in the hydrodynamic and aerodynamic engineering applications.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1007-5704
1878-7274
DOI:10.1016/j.cnsns.2005.11.011