Mathematical modeling of the generation of topographic internal waves by nonstationary currents
First Online: 04 June 2011 Received: 01 June 2009 DOI:
Cite this article as: Sannikov, V.F. Phys Oceanogr (2011) 20: 410. doi:10.1007/s11110-011-9095-5
In the linear statement, within the framework of long-wave approximation, we develop a mathematical model for the numerical analysis of the fields of internal waves generated by a local unevenness of the bottom in a nonstationary spatially homogeneous flow. For the corresponding problem, we obtain the solution suitable for numerical calculations. We study the effects connected with periodic changes in the direction of currents and analyze the horizontal distribution of amplitudes for a single internal mode and the dependence of this distribution on the Coriolis parameter.
Translated from Morskoi Gidrofizicheskii Zhurnal, No. 6, pp. 16–23, November–December, 2010.
L. V. Cherkesov, V. I. Vlasenko, N. M. Stashchuk, A. M. Suvorov, and V. V. Fomin,
Hydrodynamics of Sea Waves [in Russian], Naukova Dumka, Kiev (1992).
Sharman, “Three-dimensional structure of forced gravity waves and lee waves,”
J. Atmosph. Sci.,
, 664–681 (2004).
L. N. Sretenskii, “On the waves induced by a ship moving along a circular path,”
Izv. Akad. Nauk SSSR. O.T.N.,
1, 13–22 (1946).
A. E. Bukatov and V. V. Zharkov, “Generation of three-dimensional bending oscillations of a floating elastic plate in the case of motion of a concentrated load along a complex path,”
Prikl. Mat. Tekh. Fiz.,
38, No. 3, 164–173 (1997).
A. E. Bukatov and V. V. Zharkov, “The floating continuous ice cover flexural oscillations when a load is moving along a complicated trajectory,”
Int. J. Offshor. Pol. Eng.,
11, No. 1, 1–8 (2001).
S. V. Alekseenko and A. A. Cherep, “Formation of spiral waves in the process of circular motion of a source in dispersive media,”
Dokl. Ros. Akad. Nauk,
327, No. 3, 306–310 (1992).
V. F. Sannikov, “Focusing of internal waves generated by the nonuniform motion of a region of atmospheric pressures,”
Morsk. Gidrofiz. Zh., No. 5, 22–29 (2006).
A. P. Prudnikov, Yu. A. Brychkov, and O. I. Marichev,
Integrals and Series. Special Functions [in Russian], Nauka, Moscow (1983). Copyright information
© Springer Science+Business Media, Inc. 2011