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Inviscid flow about a cylinder rising to a free surface

Published online by Cambridge University Press:  21 April 2006

John G. Telste
Affiliation:
David W. Taylor Naval Ship Research and Development Center, Bethesda, MD 20084–5000, USA

Abstract

The problem of calculating nonlinear two-dimensional free-surface potential flow about a circular cylinder rising to a free surface is solved numerically. The deeplysubmerged circular cylinder is accelerated smoothly from rest to a uniform vertical velocity. A boundary/integral-equation method is used to obtain free-surface elevations and streamlines about the rising cylinder for several final speeds. Results, including pressure forces, are compared with a cylinder rising to a rigid wall and a cylinder moving in an infinite fluid.

Type
Research Article
Copyright
© 1987 Cambridge University Press

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References

Baker, G. R., Meiron, D. I. & Orszag, S. A. 1981 Applications of a generalized vortex method to nonlinear free surface flows. Proc. Third Intl Conf. on Numerical Ship Hydrodynamics. Paris.
Baker, G. R., Meiron, D. I. & Orszag, S. A. 1982 Generalized vortex methods for free-surface flow problems. J. Fluid Mech. 123, 477501.Google Scholar
Batchelor, G. K. 1967 An Introduction to Fluid Dynamics. Cambridge University Press.
Greenhow, M. & Lin, W-M. 1983 Nonlinear free surface effects: experiments and theory. MIT Rep. 83–19.Google Scholar
Greenhow, M. & Lin, W-M. 1985 Numerical simulation of nonlinear free surface flows generated by wedge entry and wavemaker motions. Proc. Fourth Intl Conf. on Numerical Ship Hydrodynamics. Washington, DC.
Haussling, H. J. & Coleman, R. M. 1979 Nonlinear water waves generated by an accelerated circular cylinder. J. Fluid Mech. 92, 767781.Google Scholar
Lin, W-M., Newman, J. N. & Yue, D. K. 1984 Nonlinear forced motions of floating bodies. Proc. 15th Symp. on Naval Hydrodynamics. Hamburg, Germany.
Longuet-Higgins, M. S. & Cokelet, E. D. 1976 The deformation of steep surface waves. I. A numerical method of computation. Proc. R. Soc. Lond. A 350, 126.Google Scholar
Shampine, L. F. & Watts, H. A. 1979 DEPAC-Design of a user oriented package of ODE solvers. Sandia Laboratories Rep. SAND79–2374.Google Scholar
Shapiro, R. 1975 Linear filtering. Math. Comp. 29, 10941097.Google Scholar
Vinje, T. & Brevig, P. 1981 Nonlinear, two-dimensional ship motion. Ship Res. Inst. of Norway, Rep. 112.81.Google Scholar