Lattice Boltzmann Model and Geophysical Hydrodynamic Equation
FENG Shi-De1,2, YANG Jing-Long3, GAO Xian-Lin4, JI Zhong-Zhen1
1State Key Laboratory of Numerical Modelling for
Atmospheric Sciences and Geophysical Fluid Dynamics,Institute of
Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029
2School of Mechanical Engineering, Nanjing University of Science & Technology, Nanjing 210094
3Department of Engineering Mechanics, Tsinghua University, Bejing 100084
4Northchina Institute of Computing Technology, Ministry of
Information Industry, Beijing 100083
Lattice Boltzmann Model and Geophysical Hydrodynamic Equation
1State Key Laboratory of Numerical Modelling for
Atmospheric Sciences and Geophysical Fluid Dynamics,Institute of
Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029
2School of Mechanical Engineering, Nanjing University of Science & Technology, Nanjing 210094
3Department of Engineering Mechanics, Tsinghua University, Bejing 100084
4Northchina Institute of Computing Technology, Ministry of
Information Industry, Beijing 100083
Abstract： A lattice Boltzmann equation model in a rotating system is developed by introducing the Coriolis force effect. The geophysical hydrodynamic equation can be derived from this model. Numerical computations are performed to simulate the cylindrical annulus experiment and Benard convection. The numerical results have shown the flow behaviour of large-scale geostrophic current and Benard convection cells, which verifies the applicability of this model in both theory and experiment.
2002, Vol. 19 
