Please use this identifier to cite or link to this item: https://doi.org/10.1103/PhysRevE.65.036708
Title: Taylor-series expansion and least-squares-based lattice Boltzmann method: Two-dimensional formulation and its applications
Authors: Shu, C. 
Niu, X.D.
Chew, Y.T. 
Issue Date: Mar-2002
Source: Shu, C., Niu, X.D., Chew, Y.T. (2002-03). Taylor-series expansion and least-squares-based lattice Boltzmann method: Two-dimensional formulation and its applications. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 65 (3) : 036708/1-036708/13. ScholarBank@NUS Repository. https://doi.org/10.1103/PhysRevE.65.036708
Abstract: An explicit lattice Boltzmann method (LBM) is developed in this paper to simulate flows in an arbitrary geometry. The method is based on the standard LBM, Taylor-series expansion, and the least-squares approach. The final formulation is an algebraic form and essentially has no limitation on the mesh structure and lattice model. Theoretical analysis for the one-dimensional (ID) case showed that the version of the LBM could recover the Navier-Stokes equations with second order accuracy. A generalized hydrodynamic analysis is conducted to study the wave-number dependence of shear viscosity for the method. Numerical simulations of the 2D lid-driven flow in a square cavity and a polar cavity flow as well as the "no flow" simulation in a square cavity have been carried out. Favorable results were obtained and compared well with available data in the literature, indicating that the present method has good prospects in practical applications. ©2002 The American Physical Society.
Source Title: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
URI: http://scholarbank.nus.edu.sg/handle/10635/61463
ISSN: 15393755
DOI: 10.1103/PhysRevE.65.036708
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