Title: Taylor series expansion- and least square-based Lattice Boltzmann method: an efficient approach for simulation of incompressible viscous flows

Authors: C. Shu, X.D. Niu, Y. Peng, Y.T. Chew

Addresses: Department of Mechanical Engineering, National University of Singapore, 119260, Singapore. ' Department of Mechanical Engineering, National University of Singapore, 119260, Singapore. ' Department of Mechanical Engineering, National University of Singapore, 119260, Singapore. ' Department of Mechanical Engineering, National University of Singapore, 119260, Singapore.

Abstract: The Taylor series expansion- and least-square-based Lattice Boltzmann method (TLLBM) is a flexible Lattice Boltzmann approach capable of simulating incompressible viscous flows with arbitrary geometry. The method is based on the standard Lattice Boltzmann equation (LBE), Taylor series expansion and the least square optimisation. The final formulation is an algebraic form and essentially has no limitation on the mesh structure and lattice model. Successful applications of isothermal and thermal incompressible viscous flows have shown that the TLLBM is an efficient and promising version of LBM. In this paper, we will give the details of TLLBM and present some examples of its application.

Keywords: Lattice Boltzmann method; Lattice Boltzmann model; TLLBM; Taylor series expansion; least squares approach; incompressible flow; viscous flows; simulation.

DOI: 10.1504/PCFD.2005.005815

Progress in Computational Fluid Dynamics, An International Journal, 2005 Vol.5 No.1/2, pp.27 - 36

Published online: 08 Dec 2004 *

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