Please use this identifier to cite or link to this item: https://doi.org/10.1023/A:1014579125174
Title: A new differential lattice Boltzmann equation and its application to simulate incompressible flows on non-uniform grids
Authors: Chew, Y.T. 
Shu, C. 
Niu, X.D.
Keywords: Differential equation
Incompressible flow
Lattice Boltzmann equation
Taylor series expansion
Issue Date: 2002
Source: Chew, Y.T., Shu, C., Niu, X.D. (2002). A new differential lattice Boltzmann equation and its application to simulate incompressible flows on non-uniform grids. Journal of Statistical Physics 107 (1-2) : 329-342. ScholarBank@NUS Repository. https://doi.org/10.1023/A:1014579125174
Abstract: A new differential lattice Boltzmann equation (LBE) is presented in this work, which is derived from the standard LBE by using Taylor series expansion only in spatial direction with truncation to the second-order derivatives. The obtained differential equation is not a wave-like equation. When a uniform grid is used, the new differential LBE can be exactly reduced to the standard LBE. The new differential LBE can be applied to solve irregular problems with the help of coordinate transformation. The present scheme inherits the merits of the standard LBE. The 2-D driven cavity flow is chosen as a test case to validate the present method. Favorable results are obtained and indicate that the present scheme has good prospects in practical applications.
Source Title: Journal of Statistical Physics
URI: http://scholarbank.nus.edu.sg/handle/10635/73057
ISSN: 00224715
DOI: 10.1023/A:1014579125174
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