Abstract
A discrete vortex method was incorporated into a time domain boundary element algorithm for the numerical simulation of normal oscillating flow past a flat plate. Significant computational advantages result because of the relatively simple approach to the handling of separation at the sharp edges while working only with the boundary values.
The separated vortex sheet issuing from a sharp edge in normal flow is modelled by a series of discrete vortices introduced one at a time into the flow field at given time intervals. The motion of each vortex is traced over time using its convection velocity. For low Keulegan-Carpenter numbers, vortex shedding takes place close to the edge. The discrete vortex method can, in such cases, be looked upon as the inner region solution to the problem of flow past the normal plate. This inner region solution has to be matched with the outer potential flow solution. The combination of boundary element and discrete vortex methods provides this matching and at the same time do not require calculations inside the domain.
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References
Chorin A.J., ‘Numerical study of slightly viscous flow’, J Fluid Mech, Vol 57, pp 787, 1973.
Clements R.R. and Maull D.J., ‘The representation of sheets of vorticity by discrete vortices’, Prog Aerospace Science, Vol 16(2), pp 129, 1975.
Fink P.T. and Soh W.K., ‘Calculation of vortex sheets in unsteady flow and applications in ship hydrodynamics’, Proceedings of the 10th Symp on Naval Hydrodynamics, pp463–491, Cambridge, Massachussetts, 1974.
Wong L.H. and Calisal S.M., ‘Vortex shedding from sharp edges in oscillatory flow’, Proceedings of the 2nd World Conf on Expt Heat Transfer, Fluid Mech and Thermodynamics, pp 232–239, Dubrovnik, Yugoslavia, 1991.
Graham J.M.R., ‘The forces on sharp-edged cylinders in oscillatory flow at low Keulegan-Carpenter numbers’, J Fluid Mech, Vol 97(1), pp331–346, 1980.
Downie M.J., Bearman P.W. and Graham J.M.R., ‘Effect of vortex shedding on the coupled roll response of bodies in waves’, J Fluid Mech, Vol 189, pp 243–264, 1988.
Faltinsen O.M., ‘A numerical nonlinear method of sloshing in tanks with two dimensional flow’, J Ship Res, Vol 22(3), pp 193–202, 1978.
Grosenbaugh M.A. and Yeung R.W., ‘Nonlinear free-surface flow at a two-dimensional bow’, J Fluid Mech, Vol 209, pp 57–75, 1989.
Isaacson M. and Cheung K.F., ’second order wave diffraction around two-dimensional bodies by time domain method’, Applied Ocean Res, Vol 13(3), 1991.
Pawlowski J.S., Baddour R.E. and Hookey N.A., ‘The development of second generation direct solution numerical models of large motions of floating bodies in waves’, Proceedings of Marine Dynamics Conference, pp 43–49, St John’s, Newfoundland, 1991.
Brebbia C.A., The Boundary Element Method for Engineers, Pentech Press, London, 1978.
Kudo K., ‘Hydrodynamic forces of the oscillating flat plate, Proc 3rd Int Conf Num Ship Hydrodynamics’, pp 347–357, Paris, 1981.
Keulegan G.H. and Carpenter L.H., ‘Forces on cylinders and plates in an oscillating fluid’, J R National Bureau of Standards, Vol 60(5), 1958.
Graham J.M.R., ‘Numerical simulation of steady and unsteady flow about sharp-edged bodies’, Proc Int Symp on Separated Flow Around Marine Structures, pp 347–373, Trondheim, 1985.
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© 1992 Computational Mechanics Publications
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Wong, L.H., Calisal, S. (1992). Including Sharp Edge Vortex Shedding in Boundary Integral Solutions for Two Dimensional Potential Flows. In: Brebbia, C.A., Partridge, P.W. (eds) Boundary Elements in Fluid Dynamics. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2876-6_10
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DOI: https://doi.org/10.1007/978-94-011-2876-6_10
Publisher Name: Springer, Dordrecht
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