Numerical solution for laminar unsteady flow about fixed and oscillating cylinders

• Autorzy: Baranyi L. , Shirakashi M.
• Konferencja: International Conference on Numerical Mathematics and Computational Mechanics : NMCM'98 (8 th ; August 1998 ; Miskolc ; Hungary)
• Języki publikacji: EN

Abstrakty

EN

This paper presents a finite-difference solution of two-dimensional, time dependent incompressible Navier-Stokes equations for laminar flow about fixed and oscillating cylinders placed in an otherwise uniform flow. Using boundary fitted coordinates, the equations are transformed to a non-inertial reference frame fixed to the cylinder. The primitive variable formulation is used for the solution of the problem. A special transformation provides a fine grid scale near the cylinder walls and a coarse grid in the far field. Forward difference is used in time, fourth order central difference in space exept for convective terms for which a modified third-order upwind scheme is used. Velocity values are obtained explicitly , and the successive vortex shedding values were compared with experimental results for rigid cylinders and a very good agreement has been obtained. Amplitude bounds of locked-in vortex shedding due to forced crossflow oscilation of a circular cylinder are also determined for Re = 180.

Słowa kluczowe

EN

Navier-Stokes equation; unsteady flow; incompressible flow; bluff body

PL

równanie Naviera-Stokesa; przepływ nieustalony; przepływ nieściśliwy; ciało o kształcie urwistym

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Computer Assisted Mechanics and Engineering Sciences
• Rocznik: 1999
• Tom: Vol. 6, No. 3-4
• Strony: 263--277
• Opis fizyczny: Bibliogr. 15 poz., rys., tab., wykr.

Twórcy

autor

Baranyi L.

• Department of Fluid and Heat Engineering, University of Miskolc, H-3515 Miskolc-Egyetemváros, Hungary

autor

Shirakashi M.

• Department of Mechanical Engineering, Nagaoka University of Technology, 1603-1 Kamitomioka, Nagaoka, 940-2188 Japan

Bibliografia

• [1] P.W. Bearman. Developments in the understanding of bluff body flows. Proceedings of the Int. Conf. on Fluid Engineering, Vol. 1, Tokyo, Japan, 53-61, 1997.
• [2] M. Braza, P. Chassaing, H.H. Minh. Numerical study and physical analysis of the pressure and velocity fields in the near wake of a circular cylinder. Journal of Fluid Mechanics, 165, 79-130, 1986.
• [3] R. Chilukuri. Incompressible laminar flow past a transversely vibrating cylinder. Journal of Fluids Engineering, 109, 166-171, 1987.
• [A] C.A.J. Fletcher. Computational Techniques for Fluid Dynamics, Vol. 2. Springer, 2nd Ed., Berlin, 1997.
• [5] F.H. Harlow, J.E. Welch. Numerical calculation of time-dependent viscous incompressible flow of fuid with free surface. Physics of Fluids, 8, 2182-2189, 1965.
• [6] R.D. Henderson, D. Barkley. Secondary instability in the wake of a circular cylinder. Physics of Flutds, 8, 1683-1685, 1996.
• [7] S.E. Hurlbut, M.L. Spaulding, F.M. White. Numerical solution for laminar two dimensional flow about a cylinder oscillating in a uniform stream. Journal of Fluids Engineering, 104, 214-222, 1982.
• [8] G.E. Karniadakis, G.S. Triantafyllou. Frequency selection and asymptotic states in laminar wakes. Journal of Fluid Mechanics, 199, 441-469, 1989.
• [9] T. Kawamura. Computation of high Reynolds number flow around a circular cylinder with surface roughness. Proceedings of the Zźnd Aerospace Sciences Meeting, Reno, Nevada, AIAA-84-0340, 1-11, 1984.
• [10] J. Kim, P. Moin. Application of a fractional-step method to incompressible Navier-Stokes equations. Journal of Computational Physics, 59, 308-323, 1985.
• [11] J.R. Meneghini, P.W. Bearman. Numerical simulation of high amplitude oscillatory flow about a circular cylinder. Journal of Fluids and Structures, 9, 435-455, 1995.
• [12] K. Ogane, H. Sakuta, H.M. Bea, T. Takahashi, M. Shirakashi. Numerical analysis for lock-in phenomenon of vibrating cylinder in uniform flow. Proceedings of the 7Tth Int. Conf. on Numerical Methods in Laminar and Turbulent Flow, Vol. 2, Stanford, U.S.A., 1374-1384, 1991.
• [13] P.J. Roache. Computational Fluid Dynamics. Hermosa Publishers, Albuquerque, 1982.
• [14] A. Roshko. On the development of turbulent wakes from vortex streets. NACA Rep., 1191, 1954.
• [15] H. Schlichting. Grenzschicht-Theorie. Verlag G. Braun, Karlsruhe, 1965.