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Title: An efficient lattice Boltzmann method for the application on non-uniform Cartesian mesh
Authors: Shu, C. 
Wu, J.
Keywords: Immersed boundary
Lattice Boltzmann method
Local interpolation
Non-uniform Cartesian mesh
Issue Date: 30-May-2010
Citation: Shu, C., Wu, J. (2010-05-30). An efficient lattice Boltzmann method for the application on non-uniform Cartesian mesh. Modern Physics Letters B 24 (13) : 1275-1278. ScholarBank@NUS Repository.
Abstract: An efficient lattice Boltzmann method (LBM) on non-uniform Cartesian mesh is presented in this work. In the standard LBM, the uniform mesh is used. To well capture the boundary layer and in the meantime, to save computational effort, many efforts have been made to improve the LBM so that it can be implemented on the non-uniform mesh. On the other hand, LBM has been combined with other numerical schemes to simulate complex flows recently. To solve immersed boundary (IB) problem efficiently, a new version of LBM on non-uniform Cartesian mesh is proposed in this study. A second-order local interpolation is used to calculate the distribution function at a position different from mesh points. The numerical results from the simulation of flow over a circular cylinder compare well with the data in literature. © 2010 World Scientific Publishing Company.
Source Title: Modern Physics Letters B
ISSN: 02179849
DOI: 10.1142/S0217984910023414
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