Abstract
A method of solving the initial boundary-value problem of the horizontal motion of a circular cylinder under the interface between two liquids is developed within the framework of nonlinear theory and implemented numerically. Profiles of generated waves and hydrodynamic loads are calculated for the problem of the acceleration of a circular cylinder under the free surface of a heavy liquid. The phenomenon of wave breaking is considered in detail.
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References
R. W. Yeung, “Numerical methods in free-surface flows,”Annu. Rev. Liquid Mech.,4, 395–442 (1982).
J. E. Romate, “The numerical simulation of nonlinear gravity waves,”Eng. Anal.,7, No. 4, 152–166 (1990).
I. V. Sturova, “Numerical calculations in problems of the generation of plane surface waves,” Preprint No. 5, Computing Center, Sib. Div., Acad. of Sci. of the USSR, Krasnoyarsk, (1990).
L. Chen and W. S. Vorus, “Application of a vortex method to free surface flows,”Int. J. Num. Meth. Fluids,14, No. 11, 1289–1310 (1992).
Y. J. Kim and J. H. Hwang, “Time-domain calculation of nonlinear free-surface flows around two-dimensional lifting foils,” in:Proc. Int. Conf. Hydrodyn., Wuxi (1994), pp. 436–442.
J. L. Hess, “Higher-order numerical solution of the integral equation for the two-dimensional Neumann problem,”Comput. Meth. Appl. Mech. Eng.,2, No. 1, 1–15 (1973).
G. R. Baker, D. I. Meiron, and S. A. Orszag, “Application of a generalized vortex method to nonlinear free-surface flows,” in:Proc. 3rd Int. Conf. on Numer. Ship Hydrodyn., Paris (1981), pp. 179–191.
G. E. Forsythe, M. A. Malcolm, and C. B. Moler,Computer Methods for Mathematical Computations, Prentice-Hall, Englewood Cliffs, New Jersey (1977).
M. S. Longuet-Higgins and E. D. Cokelet, “The deformation of steep surface waves on water. I. A numerical method of computations,”Proc. Roy. Soc., London,A350, 1–26 (1976).
K. E. Afanas’ev, “Solution of nonlinear problems of the hydrodynamics of an ideal liquid with free boundaries by the finite- and boundary-element methods,” Doct. Dissertation in Phys.-Math. Sci. Kemerovo (1997).
D. N. Gorelov,The Theory of a Wing in Unsteady Flow [in Russian], Izd. Novosib. Univ., Novosibirsk (1975).
Additional information
Omsk Department, Sobolev Institute of Mathematics, Siberian Division, Russian Academy of Sciences, Omsk 644099. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 40, No. 3, pp. 37–43, May–June, 1999.
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Gorlov, S.I. Unsteady nonlinear problem of the horizontal motion of a contour under the interface between two liquids. J Appl Mech Tech Phys 40, 393–398 (1999). https://doi.org/10.1007/BF02468392
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DOI: https://doi.org/10.1007/BF02468392