多弛豫时间格子波尔兹曼方法的分块算法

doi:10.3969/j.issn.1674-8530.2013.01.012

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Abstract In the last 20 years or so, there has been rapid progress in developing the lattice Boltzmann method (LBM) for solving a variety of fluid dynamic problems. Compared with the single relaxation time (SRT) collision model, the multiple relaxation time (MRT) one has better computational stability. In order to obtain a high resolution near a solid body, a multiblock scheme is developed for the MRT lattice Boltzmann method. The interface conditions are derived to make sure the continuity of mass, momentum and stresses across the interface between any two blocks can be satisfied. Further a temporal interpolation at an interface is also performed to ensure information at correct time level to be used. For validation the numerical simulations of the unsteady flows past a circular cylinder at Re=100 was carried out. It was showed that the spatial oscillations in the regions with large velocity or pressure gradients such as stagnation point are suppressed in a great deal with increasing grid resolution, and the predicted drag and lift coefficients agree well with the benchmark data.

Key words： lattice Boltzmann method;multiple relaxation time;multiblock scheme;grid refinement flows past a circular cylinder

Received: 22 October 2012 Published: 31 January 2013

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	Articles by authors
	YANG Fan
	SHI Xu-Ming
	GUO Xue-Yan
	CHEN Tie-Jun
	WU Yu-Lin

Cite this article:

YANG Fan,SHI Xu-Ming,GUO Xue-Yan等. scheme of MRT lattice Boltzmann method for viscous fluid flow[J]. Journal of Drainage and Irrigation Machinery Engin, 2013, 31(1): 56-60.

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http://zzs.ujs.edu.cn/pgjx/EN/10.3969/j.issn.1674-8530.2013.01.012 OR http://zzs.ujs.edu.cn/pgjx/EN/Y2013/V31/I1/56

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