A New Extrapolation Treatment for Boundary Conditions in Lattice Boltzmann Method
WANG Zheng-Dao1,2,3, YANG Jian-Fei1,2,3, WEI Yi-Kun4, QIAN Yue-Hong1,2,3,5**
1Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072 2Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai 200072 3Shanghai Program for Innovative Research Team in Universities, Shanghai 200072 4Faculty of Mechanical Engineering and Automatic, Zhejiang Sci-Tech University, Hangzhou 310018 5Department of Mechanical and Aerospace Enigineering, UC Irvine, CA 92617, USA
Abstract:The lattice Boltzmann method is widely used in solving hydrodynamics for various systems. The accuracy of the extrapolation method for boundary conditions and Mei's method for curved boundary is not high enough. We propose a modified extrapolation method for boundary conditions. Numerical simulations conform the higher accuracy and stability compared with the other methods.
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