Literature cited
H. B. Bigelow and W. T. Edmondson, Marine Wind Waves and Surf [Russian translation], IL, Moscow (1951).
Yu. M. Krylov, Spectral Methods of Investigating and Calculating Wind Waves [in Russian], Gidrometeoizdat, Leningrad (1966).
I. T. Selezov and V. V. Sorokina, “Investigation of refraction of surface gravity waves in the case of a linear change in the depth of the fluid,” Gidromekhanika, No. 34 (1976).
E. M. Selyuk, Investigation, Calculations, and Forecasts of Wind Waves on Reservoirs [in Russian], Gidrometeoizdat, Leningrad (1961).
J. J. Stoker, Water Waves, Wiley, New York (1957).
B. A. Shulyak, Physics of Waves on the Surface of a Granular Mass and Fluíd [in Russian], Nauka, Moscow (1971).
J. A. Bertelsen, I. G. Johnsson, and O. Skovgaard, “Refraction of surface gravity waves. Numerical calculation of wave orthogonals and heights,” Rept. Dan. Center Appl. Math. Mech., No. 36 (1972).
J. B. Keller, “Surface waves on water of nonuniform depth,” J. Fluid Mech., No. 4 (1958).
W. H. Munk and R. S. Arthur, “Wave intensity along a refraction ray,” Natl. Bur. Stand. U.S. Circ. 521, Gravity Waves (1952).
G. Sager, “Refraktion von Meerswellen bei ebenem Abfall des Bodens,” Gerlands Beitr. Geophys.,82, No. 3 (1973).
G. Sager, “Refraktion von √gh-Wellen bei Abfall des bodens nach dem Profil einer Parabel,” Gerlands Beitr. Geophys.,82, No. 5 (1973).
G. Sager, “Refraktion von √gh-Wellen bei hyperbolischen Abfall des Bodens,” Gerlands Beitr. Geophys.,82, No. 4 (1973).
M. C. Shen, “Ray method for surface waves on fluid of variable depth,” SIAM Rev.,17, No. 1 (1975).
Additional information
Translated from Gidrotekhnicheskoe Stroitel'stvo, No. 1, pp. 39–42, January, 1981.
Rights and permissions
About this article
Cite this article
Selezov, I.T., Sorokina, V.V. Numerical investigation of refraction of surface gravity waves by the ray method. Hydrotechnical Construction 15, 46–50 (1981). https://doi.org/10.1007/BF01435118
Issue Date:
DOI: https://doi.org/10.1007/BF01435118