Abstract
Within the framework of the linear theory of long waves, we study the evolution of a wave process caused by the action of surface pressure periodically varying in time in a bounded basin of variable depth without vertical walls. We assume that the basin is filled with a homogeneous liquid nonperturbed at the initial time and take into account the action of dissipative forces. We obtain the analytic solution of the posed problem. It is used to perform the detailed analysis of the influence of the dissipative forces and the frequency of perturbing pressure on the characteristics of the process of evolution of waves.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Kochin, N. E., Kibel, I. A., and Roze, N. V.Theoretical Hydromechanics, Vol. 1. Moscow: Gostekhizdat (1955).
Gubanova, O. V., Khilko, N. V., and Cherkesov, L. V. Generation of waves in a two-dimensional basin of variable depth by periodic perturbations of atmospheric pressure.Morsk. Gidrofiz. Zh. (1997) No.5, 3–10.
Konovalov, A. V. and Cherkesov, L. V. Investigation of the generation of nonstationary nonlinear long waves by oscillations of atmospheric pressure.Morsk. Gidrofiz. Zh. (1993) No.5, 31–41.
Bakhvalov, N. S., Zhidkov, N. P., and Kobel'kov, G. M.Numerical Methods. Moscow: Nauka (1987).
Additional information
Translated by Peter V. Malyshev and Dmitry V. Malyshev
Rights and permissions
About this article
Cite this article
Gubanova, O.V., Miklashevskaya, N.A. & Cherkesov, L.V. Evolution of waves induced by periodic variations of pressure in a bounded basin of variable depth. Phys. Oceanogr. 11, 99–108 (2000). https://doi.org/10.1007/BF02515297
Issue Date:
DOI: https://doi.org/10.1007/BF02515297