Milu-CG method and the numerical study on the flow around a rotating circular cylinder |
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| Authors: | Ling Guoping Ling Guocan |
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| Affiliation: | 1. Department of Mathematics. Suzhou University. Suzhou 215006. P, R. China;2. Institute of Mechanics, Academia Sinica, Beijing 100080, P. R. China |
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| Abstract: | A hybrid finite difference method and vortex method (HDV), which is based on domain decomposition and proposed by the authors (1992), is improved by using a modified incomplete LU decomposition conjugate gradient method (MILU-CG), and a high order implicit difference algorithm. The flow around a rotating circular cylinder at Reynolds number Re=1000, 200 and the angular to rectilinear speed ratio a∈(0.5,3.25) is studied numerically. The long-time full developed features about the variations of the vortex patterns in the wake, and drag, lift forces on the cylinder are given. The calculated streamline contours agreed well with the experimental visualized flow pictures. The existence of critical states and the vortex patterns at the states are given for the first time. The maximum lift to drag force ratio can be obtained nearby the critical states. Project supported by the Natural Science Foundations. of Province Jiangsu of China and the Laboratory for Nonlinear Mechanics, Institute of Mechanics, Academia Sinica |
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| Keywords: | rotating circular cylinder vortex pattern finite difference method vortex method preconditioned conjugate gradient method incomplete LU decomposition |
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