Abstract
The phenomenon of breaking of surface gravity waves on the sea in a coastal zone has much in common with a steady hydraulic jump. When surface waves break a vortex forms which rolls down along the leading slope of the wave, as in the case of the formation of a hydraulic jump. Up to the present time a number of theoretical flow models have been proposed for the region in which a wave front breaks. Many of these studies are discussed in [1, 2]. However, the questions of the origin and dynamics of the vortex and its effect on the flow remain open. With the object of studying these questions in greater detail, the results are given below of numerical and experimental simulation of a hydraulic jump. The results of numerical calculations of the shape of the free surface and the velocity profiles in the various sections agree fairly well with the experimental data.
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M. S. Longuet-Higgins, “The unsolved problem of breaking waves,” Proc. 17th Coastal Engineering Conf., Vol. 1, Sydney (1980), pp. 1–29.
P. A. Madsen and I. A. Svendsen, “Turbulent bores and hydraulic jumps,” J. Fluid Mech.,129, 1 (1983).
V. A. Gushchin and V. N. Kon'shin, “Numerical simulation of flows with a free surface,” in: Aerophysics and Applied Mathematics [in Russian], MFTI, Moscow (1981), pp. 124–126.
O. M. Belotserkovskii, V. A. Gushchin, and V. V. Shchennikov, “The decoupling method in its application to the solution of problems in the dynamics of a viscous incompressible fluid,” Zh. Vychisl. Mat. Mat. Fiz.,15, 197 (1975).
J. J. Stoker, Water Waves, the Mathematical Theory with Applications, Wiley, New York (1957).
C. W. Hirt and B. D. Nichols, “Volume of fluid (VOF) method for the dynamics of free boundaries,” J. Comput. Phys.,39, 201 (1981).
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 3, pp. 103–106, May–June, 1985.
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Belotserkovskii, O.M., Burynin, E.E., Gushchin, V.A. et al. Flow of a fluid across an obstacle with breaking of the wave front. Fluid Dyn 20, 423–426 (1985). https://doi.org/10.1007/BF01049996
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DOI: https://doi.org/10.1007/BF01049996