討論流體環繞圓柱體之流場的研究在過去幾十年來有相當多的學者，投入相當多的時間，以不同的方法來討論此一問題。其中包括理論解析，數值解析以及實驗等。而此一問題最終為探討流體作用於圓柱上之作用力，這在水利及海洋工程上之應用相當的廣泛而且重要。因此，討論此一問題有其相當之必要性。基本上來說，對與流體環繞圓柱問題的研究可以從幾種情況來加以討論：一為流體以流速v0流經固定(fixed) 圓柱；二為流體流經以速度vθ旋轉的圓柱(rotating cylinder)；三為流體流經可移動之圓柱後流場的變化與圓柱受力情況。前兩種情況已被許多學者廣泛地討論過，本文則是利用二維的有限差分數值方法來討論此一問題，除了分析前人的研究外，並針對流體流經可移動的圓柱體分析所造成流場的變化與圓柱的受力情況。此外在數值處理上由於整個計算量相當的大，因此本模式配合平行運算的方式來處理本問題，以增加其計算效率，此亦為本問題討論的重點。

In the past few decades, many people spent a lot of time and used many different ways, which includes analytic method, numerical method, and experimental observations for investigating the flow around circular cylinder problem. Eventually, the purpose of these investigations is to determinate the force acting on the cylinder and which is very useful and important for marine and hydraulic engineering. Essentially, it can be divided into three circumstances, (i) the flow around a fixed cylinder, (ii) the flow around a rotating cylinder, (iii) the flow around a moving cylinder. The first two conditions have already been will discussed. Consequently, besides analyzing the first two conditions and comparing with reference papers, the purpose of this present is discussing the variation of the flow field and the force acting on the cylinder by using finite difference method. Because of the considerable quantity of computation, using parallel computing for this model to speedup the numerical process is also one of the issues of the present.

ABSTRACT I
中文摘要
目錄
圖目錄
符號表
第1章 概論
第2章 理論分析
第3章 數值方法
第4章 結果與討論
第5章 結論與建議
參考文獻
附錄A 轉換係數
附圖

Badr, H. M., Coutanceau, M., Dennis, S. C. R., Menard, C. 1990 Unsteady flow past a rotating circular cylinder at Reynolds numbers 103and 104. Journal of Fluid Mechanics 220, 459-484.

Badr, H. M. Dennis, S. C. R. 1985 Time-dependent viscous flow past an impulsively started rotating and translating circular cylinder. Journal of Fluid Mechanics 158, 447-488.

Bar-Lev, M., Yang, H. T. 1975 Infinit flow field over an impulsively started circular cylinder. Journal of Fluid Mechanics 72, 625-647.

Blasius, H. 1908 Grenzchichten in Flussigkeiten mit Kleiner Reibug. Z. Angew. Math. Phys. NACA TM-1256 56,p. 1.

Bouard, R., Coutanceau, M. 1980 The early stage of development of the wake behind an impulsively started cylinder for 40£Re£104. Journal of Fluid Mechanics 101, 583-607.

Chang, C. C., Chern, R. L. 1991 A numerical study of flow around an impulsively started circular cylinder by a deterministic vortex method. Journal of Fluid Mechanics 233, 243-263.

Chang, C. C., Chern, R. L. 1991 Vortex shedding from an impulsively started rotating and translating circular cylinder. Journal of Fluid Mechanics 233, 265-298.

Christiansen, J. P. 1973 Vortex method for flow simulation. Journal of Computational Physics 13, 363.

Collins, W. M., Dennis, S. C. R. 1973a The initial flow past an impulsively started circular cylinder. Q. J. Mech. Appl. Maths 26, 53-75.

Collins, W. M., Dennis, S. C. R. 1973b Flow past an impulsively started circular cylinder. Journal of Fluid Mechanics 60, 105-127.

Coutanceau, M., Menard, C. 1985 Influence of rotation on the near wake development behind an impulsively started circular cylinder. Journal of Fluid Mechanics 158, 399-446.

Dennis, S. C. R., Kocabiyik, S. 1991 An asymptotic matching condition for unsteady boundary-layer flows governed by the Navier-Stokes equations. IMA J. Appl. Maths 47, 91-98.

Koumoutsakos, P., Leonard, A. 1993 Improved boundary integral method for inviscid boundary condition applications. AIAA journal. 31,404-404

Koumoutsakos, P., Leonard, A., Pepin, F. 1994 Boundary conditions for viscous vortex methods. Journal of Computational Physics 113, 52.

Koumoutsakos, P., Leonard, A. 1995 High-resolution simulations of the flow around an impulsively started cylinder using vortex methods. Journal of Fluid Mechanics 296, 1-38.

Payne, R. B. 1958 Calculations of unsteady viscous flow past a circular cylinder. Journal of Fluid Mechanics 4, 81-86.

Prandtl, W. 1925 The magnus effect and windpowered ships. Wissenschaften 13, 93-108.


Smith, P. A., Stansby, P. K. 1988 Impulsively started flow around a circular cylinder by the vortex method. Journal of Fluid Mechanics 194, 45-77.

Ta Phuoc Loc 1980 Numerical analysis of unsteady secondary vortices generated by an impulsively started circular. Journal of Fluid Mechanics 100, 111-128.

Ta Phuoc Loc, Bouard, R. 1985 Numerical solution of the early stage of the unsteady viscous flow around a circular cylinder：a comparison with experimental visualization and measurement. Journal of Fluid Mechanics 160, 93-117.

Wang, X., Dalton, C. 1991 Numerical solution for impulsively started and decelerated viscous flow past a circular cylinder. Intl J. Numer. Meth. Fluids 12, 383-400.

Wu, J. C. 1976 Numerical boundary conditions for viscous flow problems. AIAA Journal 14, 1042-4049.

Wu, J.-Z., Wu, X., Ma, H., Wu, J.-M. 1995 Dynamic vorticity condition:theory and numerical implementation. Intl J. Numer. Meth. fluids.