Simulation of Two-Dimensional Taylor-Couette Flow using the Lattice Boltzmann Method Combined with Smoothed Profile Method

다국어 초록 (Multilingual Abstract)

The flow between two rotating concentric cylinders, also known as Taylor-Couette flow system, is one ofthe most widely studied systems in the classical fluid dynamics. In this work, a two-dimensionalTaylor-Couette flow system is simulated using the lattice Boltzmann method combined with the smoothedprofile method. The fluid flow between the rotating cylinders is solved by lattice Boltzmann equation whilethe curved boundaries of the cylinders are treated with a smoothed profile function. To assess the validity ofthe present simulation technique, three different cases of rotation of the cylinders were considered: ⅰ) innercylinder is only rotating, ⅱ) outer cylinder is only rotating, and ⅲ) both inner and outer cylinders arerotating. For all the three cases, the numerical results of the flow velocity in azimuthal direction and thehydrodynamic torque acting on the cylinders are in good agreement with the corresponding analytical solutionresults.

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