Please use this identifier to cite or link to this item: https://doi.org/10.1142/S0129183103004929
Title: An axisymmetric lattice Boltzmann model for simulation of Taylor-Couette flows between two concentric cylinders
Authors: Niu, X.D.
Shu, C. 
Chew, Y.T. 
Keywords: Cylindrical polar co-ordinates
Source term
Taylor-Couette flow
Transformed lattice Boltzmann equation
Issue Date: Jul-2003
Source: Niu, X.D., Shu, C., Chew, Y.T. (2003-07). An axisymmetric lattice Boltzmann model for simulation of Taylor-Couette flows between two concentric cylinders. International Journal of Modern Physics C 14 (6) : 785-796. ScholarBank@NUS Repository. https://doi.org/10.1142/S0129183103004929
Abstract: Recently, Halliday et al. presented an idea by inserting the "source" terms into the two-dimensional (2D) lattice Boltzmann equation (LBE) so that the emergent dynamics of the lattice fluid can be transformed into the cylindrical polar system. This paper further extends the idea of Halliday et al. to include the effect of azimuthal rotation. The terms related to the azimuthal effect are considered as inertia forces. By using our recently developed Taylor-series-expansion and least-square-based lattice Boltzmann method (TLLBM) for the transformed LBE and a second order explicit finite difference method for the azimuthal moment equation, Taylor-Couette flows between two concentric cylinders with the inner cylinder rotating were simulated. To show the performance of the proposed model, the same problem was also simulated by the three-dimensional (3D) LBM. Numerical results showed that the present axisymmetric model is much more efficient than the 3D model for an axisymmetric flow problem.
Source Title: International Journal of Modern Physics C
URI: http://scholarbank.nus.edu.sg/handle/10635/59429
ISSN: 01291831
DOI: 10.1142/S0129183103004929
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