3 차원 입자와법을 이용한 높은 스트롤수로 진동하는 구에 대한 유동장의 수치해석

다국어 초록 (Multilingual Abstract)

In this paper, we investigated the flow of an incompressible viscous fluid past a sphere which is oscillated one-dimensionally over flow regimes including laminar flow at Reynolds number of 100, 200 and Strouhal number of up to 5000. In order to analyze flow and estimate critical Strouhal number, we introduce threedimensional vortex element method. With this method, separation only appears in decreasing velocity region during the high Strouhal numbers. We find out that vorticity distribution around sphere is proportionl to the Strouhal number. And we can decide that low Strouhal number is below 100, high Strouhal number is above 500 from many results. Thus the critical Strouhal number(St) effected to the flow field is expected to be 100＜St＜500.

목차 (Table of Contents)

• Abstract
• 1. 서론
• 2. 입자와법
• 3. 고속화 알고리즘
• 4. 정지해 있는 구
• 5. 진동하는 구
• 6. 결론
• 참고문헌

참고문헌 (Reference)

1 Ploumhans P, "Vortex Methods for High-Resolution Simulation of Viscous Flow Past Bluff Bodies of General Geometry" 165 : 354-406, 2000

2 Ploumhans P, "Vortex Methods for Direct Numerical Simulation of Three-dimensional Bluff Body Flows:Appication to the Sphere at Re=300,500,and 1000" 178 : 427-463, 2002

3 Fornberg. B, "Steady Viscous Flow Past a Sphere at High Reynolds Numbers" 190 : 471-489, 1988

4 Alassar R.S, "Oscillatng Viscous Flow Over a Sphere" 26 (26): 661-682, 1997

5 Chorin, A. J, "Numerical Study of Slightly Viscous Flow" 57 : 785-790, 1973

6 Blackburn H.M, "Mass and Momentum Transport from a Sphere in Steady and Oscillatory Flows" 14 (14): 3997-4011, 2002

7 Kim D, "Laminar Flow Past a Sphere Rotating in the Streamwise Direction" 461 : 365-386, 2002

8 Odar F, "Forces on a Sphere Accelerating in a Viscous Fluid" 18 : 302-314, 1964

9 Mei R, "Flow Past a Spehre with an Oscillation in the Free-stream Velocity and Unsteady Drag at Finite Reynolds Number" 237 : 323-341, 1992

10 Winckelmans G.S, "Contribu-tions to Vortex Patricle Methods for the Computation of Three-dimensional Incompressible Unsteady Flows" 109 : 247-273, 1993

11 Sakamoto, H, "A Study on Vortex Shedding from Spheres in Uniform Flow" 112 : 386-392, 1990

12 Lee S.H, "A New Fast Algorithm for N-Body Simulation" 17-20, 2004

13 Barnes, J, "A Hierarchical O(NlogN) Force-Calculation Algorithm" 324 : 446-449, 1986