Abstract
Applicability of discrete vortex approximation was tested experimentally for four types of flow conditions; an oscillating airfoil, roll-up of wake vortex layer originated from an oscillating plate, an impulsively started flat plate with an angle-of-attack and a two-dimensional rotating elliptic airfoil. Detailed flow visualization reveals the mechanism of creation, growth and migration of vortices and the comparison with those predicted by discrete vortex method has been done. It is concluded that this numerical simulation method is most usefull to predict global feature of the flow fields and care must be taken not to excessively increase the spacial and time resolution.
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Baker,G.R. (1980) A test of the method of Fink and Soh for following vortex-sheet motion, J.Fluid Mech. vol. 100 pp.209–220
Basu,B.C. and Hancock,G.J. (1978) The unsteady motion of a two-dimensional aerofoil in incompressible inviscid flow, J Fluid Mech. vol.87 pp.159–178
Bearman,P.W. and Graham,J.M.R. (1980) Vortex shedding from bluff bodies in oscillatory flow: A report on Euromech 119, J.Fluid Mech. vo1.99 pp.225–245
Bratt,B.A. (1953) Flow patterns in the wake of an oscillating aerofoil, R and M 2773
Chorin,A.J. and Bernard,P.S. (1973) Discretization of a vortex sheet with an example of roll-up, J.Comp.Phys. vol.13 pp.423–429
Ericsson, L.E. (1979) Karman vortex shedding and the effect of body motion, AIAA J. vol.18 pp.935–944
Fink,P.T. and Soh,W.K. (1978) A new approach to roll-up calculation of vortex sheets, Proc.R.Soc.Lond.A. vol.362 pp.195–208
Geissler,W. (1978) Nonlinear unsteady potential flow calculation for three-dimensional oscillating wings, AIAA J. vol.16 pp.1168–1174
Graham,J.M.R. (1980) The forces on sharp-edged cylinders in oscillatory flow at low Keulegan-Carpenter numbers, J.Fluid Mech. vo1.97 pp.331–346
Huang,M-K and Chow,C-Y (1982) Trapping of a free vortex by Joukowski airfoil, AIAA J. vol.20 pp.292–298
Iversen,J.D. (1979) Autorotating flat-plate wings: the effect of the moment of inertia, geometry and Reynolds number, J.Fluid Mech. vol.92 pp.327–348
Kaden,H. (1931) Aufwicklung einer unstabilen Unsteigkeitsflach, Ing.Arch. vol.2 pp.149–239
Katz,J. (1981) A discrete vortex method for the non-steady separated flow over an airfoil, J.Fluid Mech. vol.102 pp.315–328
Kiya,M and Arie,M (1977) A contribution to an inviscid vortex-shedding model for an inclined flat plate in uniform flow, J Fluid M. vo1.82 pp.223–240
Koromilas,C.A. and Telionis,D.P. (1980) Unsteady laminar separation: an experimental study, J.Fluid Mech. vol.97 pp.347–384
Kuwahara,K. and H.Takami (1973) Numerical studies of two-dimensional vortex motion by a system of point vortices, J.Phys.Soc.Japan vol.34 pp.247–253
Kuwahara,K. (1973) Numerical study of flow past an inclined flat plate by an inviscid model, J.Phys.Soc.Japan vol.35 pp.1545–1551
Kuwahara,K. (1978) Study of flow past a circular cylinder by an inviscid model, J.Phys.Soc.Japan vol.45 pp.292–297
Leonard,A. (1980) Vortex methods for flow simulation, J.Comp.Phys. vol.37 pp.289–335
Lugt,H.J. and Ohring,S. (1977) Rotating elliptic cylinders in a viscous fluid at rest or in a parallel stream, J.Fluid Mech. vol.79 pp.127–156
Lugt,H.J. (1980) Autorotation of an elliptic cylinder about an axis perpendicular to the flow, J.Fluid Mech. vol.99 pp.817–840
McCroskey,W.J. (1977) Some current research in unsteady fluid dynamics-the 1976 Freeman scholar lecture, J.Fluids Engrg. vol.99pp8–38
McCroskey,W.J. (1982) Unsteady airfoils, Ann.Rev.Fluid Mech. vol.14 pp.285–311
McCroskey,W.J. and Pucci,S.L. (1982) Viscous-inviscid interaction on oscillating airfoil in subsonic flow, AIAA J. vol.20 pp.167–174
Moore,D.W. (1974) A numerical study of the rolled-up of a finite vortex sheet, J.Fluid Mech. vol.63 pp.225–2335
Mueller,T.J. and Batill,S.F (1982) Experimental studies of separtion on a two-dimensional airfoil at low Reynolds numbers, AIAA J. vol.20 pp.457–463
Ono,K.,Kuwahara,K.and Oshima,K. (1980) Numerical analysis of dynamic stall phenomena of an oscillating airfoil by the discrete vortex approximation, 7 Int.Conf.Numeri.Method.Fluid Dyn. Springer-Verlag pp.310–315
Oshima,Y. and Oshima,K. (1980) Vortical flow behind an oscillating airfoil, Theo.Appl.Mech. 15 ICTAM pp357–368
Pullin,D.I. (1978) The large:scale structure of unsteady self-similar rolled-up vortex sheets, J. Fluid Mech. vol.88 pp.401–430
Pullin,D.I. and Perry,A.E. (1980) Some flow visualization experiments on the starting vortex, J.Fluid Mech. vol.97 pp.239–255
Pullin,D.I. and Phillips,R.C. (1981) On a generalization of Kaden's problem, J.Fluid Mech. vol.104 pp.45–53
Rosenhead,L. (1931) The formation of vortices from a surface of discontinuity, Proc.R.Soc.A. vol.134 pp.170–192
Saffman,P.G. and Sheffield,J.S. (1977) Flow over a wing with an attached free vortex, Studies Appl.Math. vol.57 pp.107–117
Saffman,P.G. and Baker,G.R. (1979) Vortex interactions, Ann.Rev.Fluid Mech. vol.11 pp.95–122
Sarpkaya,T. and Schoaff,R.L. (1979) Inviscid model of two-dimensional vortex shedding by a circular cylinder, AIAA J. vol.17 pp.1193–1200
Sears,W.R. (1976) Unsteady motion of airfoils with boundary-layer separation, AIAA J. vol.14 pp.216–220
Smith,E.H. (1971) Autorotating wings: an experimental investigation, J.Fluid Mech. vol.50 pp.513–534
Sugavanam, A. and Wu,J.C. (1982) Numerical study of separated turbulent flow over airfoils, AIAA J. vol.20 pp.464–470
Williams,III,J.C. (1977) Incompressible boundary-layer separation, Ann.Rev.Fluid Mech. vol.9 pp.113–144
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Oshima, K., Oshima, Y. (1982). Flow simulation by discrete vortex method. In: Krause, E. (eds) Eighth International Conference on Numerical Methods in Fluid Dynamics. Lecture Notes in Physics, vol 170. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-11948-5_6
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DOI: https://doi.org/10.1007/3-540-11948-5_6
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