MILU-CG METHOD AND THE NUMERICAL STUDY ON THE FLOW AROUND A ROTATINGCIRCULAR CYLINDER

Applied Mathematics and Mechanics (English Edition) ›› 1998, Vol. 19 ›› Issue (8): 783-792.

MILU-CG METHOD AND THE NUMERICAL STUDY ON THE FLOW AROUND A ROTATINGCIRCULAR CYLINDER

凌国平¹, 凌国灿²

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

收稿日期:1996-06-30 修回日期:1997-12-29 出版日期:1998-08-18 发布日期:1998-08-18
基金资助:
Project supported by the Natural Science Foundations.of Province Jiangsu of China and the Laboratory for Nonlinear Mechanics, Institute of Mechanics, Academia Sinica

MILU-CG METHOD AND THE NUMERICAL STUDY ON THE FLOW AROUND A ROTATING CIRCULAR CYLINDER

Ling Guoping¹, Ling Guocan ²

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

Received:1996-06-30 Revised:1997-12-29 Online:1998-08-18 Published:1998-08-18
Supported by:
Project supported by the Natural Science Foundations.of Province Jiangsu of China and the Laboratory for Nonlinear Mechanics, Institute of Mechanics, Academia Sinica

摘要/Abstract

摘要： 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 R_c= 1000. 200 and the angular to rectilinear speed ratio.α∈(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 frag force ratio can be obtained nearby the critical states.

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 R_c= 1000. 200 and the angular to rectilinear speed ratio.α∈(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 frag force ratio can be obtained nearby the critical states.

凌国平;凌国灿. MILU-CG METHOD AND THE NUMERICAL STUDY ON THE FLOW AROUND A ROTATINGCIRCULAR CYLINDER[J]. Applied Mathematics and Mechanics (English Edition), 1998, 19(8): 783-792.

Ling Guoping;Ling Guocan . MILU-CG METHOD AND THE NUMERICAL STUDY ON THE FLOW AROUND A ROTATING CIRCULAR CYLINDER[J]. Applied Mathematics and Mechanics (English Edition), 1998, 19(8): 783-792.

参考文献

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MILU-CG METHOD AND THE NUMERICAL STUDY ON THE FLOW AROUND A ROTATINGCIRCULAR CYLINDER

MILU-CG METHOD AND THE NUMERICAL STUDY ON THE FLOW AROUND A ROTATING CIRCULAR CYLINDER

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