MILU-CG Method and the Numerical Study on the Flow around a Rotating Circular Cylinder

Ling Guoping; Ling Guocan

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Ling Guoping, Ling Guocan. MILU-CG Method and the Numerical Study on the Flow around a Rotating Circular Cylinder[J]. Applied Mathematics and Mechanics, 1998, 19(8): 731-739.

Citation:

Ling Guoping, Ling Guocan. MILU-CG Method and the Numerical Study on the Flow around a Rotating Circular Cylinder[J]. Applied Mathematics and Mechanics, 1998, 19(8): 731-739.

Citation:

Ling Guoping, Ling Guocan. MILU-CG Method and the Numerical Study on the Flow around a Rotating Circular Cylinder[J]. Applied Mathematics and Mechanics, 1998, 19(8): 731-739.

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MILU-CG Method and the Numerical Study on the Flow around a Rotating Circular Cylinder

Ling Guoping¹,
Ling Guocan²

1.
Department of Mathematics, Suzhou University, Suzhou 215006, P. R. China;
2.
Institute of Mechanics, Academia Sinica, Beijing 100080, P. R. China

Received Date: 1996-01-31
Rev Recd Date: 1997-12-29
Publish Date: 1998-08-15

Abstract

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(MIL U-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 I(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 pat terns at the states are given for the first time.The maximum lift to drag force ratio can be obtained nearby the critical states.
- rotating circular cylinder,
- vortex pattern,
- finite difference method,
- vortex method,
- preconditioned conjugate gradient method,
- incomplete LU decomposition

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References(12)

References

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