Please use this identifier to cite or link to this item: https://doi.org/10.1142/S012918310200353X
Title: Simulation of unsteady incompressible flows by using Taylor series expansion- and least square-based lattice Boltzmann method
Authors: Chew, Y.T. 
Shu, C. 
Niu, X.D.
Keywords: Explicit method
Incompressible
Lattice Boltzmann equation
Least square approach
Taylor series expansion
Unsteady flow
Issue Date: Jul-2002
Source: Chew, Y.T., Shu, C., Niu, X.D. (2002-07). Simulation of unsteady incompressible flows by using Taylor series expansion- and least square-based lattice Boltzmann method. International Journal of Modern Physics C 13 (6) : 719-738. ScholarBank@NUS Repository. https://doi.org/10.1142/S012918310200353X
Abstract: In this work, an explicit Taylor series expansion- and least square-based lattice Boltzmann method (LBM) is used to simulate two-dimensional unsteady incompressible viscous flows. The new method is based on the standard LBM with introduction of the Taylor series expansion and the least squares approach. The final equation is an explicit form and essentially has no limitation on mesh structure and lattice model. Since the Taylor series expansion is only applied in the spatial direction, the time accuracy of the new method is kept the same as the standard LBM, which seems to benefit for unsteady flow simulation. To validate the new method, two test problems, that is, the vortex shedding behind a circular cylinder at low Reynolds numbers and the oscillating flow in a lid driven cavity, were considered in this work. Numerical results obtained by the new method agree very well with available data in the literature.
Source Title: International Journal of Modern Physics C
URI: http://scholarbank.nus.edu.sg/handle/10635/61311
ISSN: 01291831
DOI: 10.1142/S012918310200353X
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