On barotropic trapped wave solutions with no-slip boundary conditions
Tóm tắt
Barotropic trapped wave solutions of a linearized system of the ocean dynamics equations are described for a semi-infinite, f-plane model basin of constant depth bordering a straight, vertical coast, for some “typical” values of the model parameters. No-slip boundary conditions are considered. When the wave length is shorter than the Rossby deformation radius, the main features of the wave solutions are as follows: the Kelvin wave exponential offshore decay scale essentially decreases as the wave length decreases, and an additional wave solution propagating in the opposite direction appears.
Tài liệu tham khảo
Marchuk, G.I., Dymnikov, V.P., and Zalesny, V.B., Matematicheskie modeli v geofizicheskoi gidrodinamike i chislennye metody ikh realizatsii (Mathematical Models and Numerical Methods in Geophysical Hydrodynamics), Leningrad: Gidrometeoizdat, 1987.
Le Blond, P. and Mysak, L, Volny v okeane (Waves in the Ocean), Moscow: Mir, 1981.
Mofjeld, H.O., Effects of Vertical Viscosity on Kelvin Waves, J. Phys. Oc., 1980, vol. 10, no. 7, pp. 1039–1050.
Davey, M.K., Hsieh, W.W., and Wajsowics, R.S., The Free KelvinWave with Lateral and Vertical Viscosity, J. Phys. Oc., 1983, vol. 13, no. 12, pp. 2182–2191.
Pedlosky, J., Geofizicheskaya gidrodinamika (Geophysical Hydrodynamics) [Russian translation], Moscow: Mir, 1984.
Kamenkovich, V.M. and Sebekin, B.I., On Reflection of Steady Low-Frequency Waves from Shore in Mid Latitudes of the Ocean. Rectilinear Western Shore, Okeanologiya, 1995, vol. 35, no. 5, pp. 645–657.
Kamenkovich, V.M., Osnovy dinamiki okeana (Fundamentals of Ocean Dynamics), Leningrad: Gidrometeoizdat, 1973.