scheme of MRT lattice Boltzmann method for viscous fluid flow
YANG Fan, SHI Xu-Ming, GUO Xue-Yan, CHEN Tie-Jun, WU Yu-Lin
(1. School of Energy and Power Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China; 2. State Key Laboratory of Hydroscience and Engineering, Tsinghua University, Beijing 100084, China)
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 multiblock 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.
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