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JOURNALS // Sibirskii Zhurnal Vychislitel'noi Matematiki // Archive

Sib. Zh. Vychisl. Mat., 2009 Volume 12, Number 4, Pages 449–463 (Mi sjvm139)

On barotropic trapped wave solutions with no-slip boundary conditions

S. V. Smirnov

Institute for Automation and Control Processes, Far Eastern Branch of the Russian Academy of Sciences

Abstract: Barotropic trapped wave solutions of a linearized system of the ocean dynamics equations are described, for semi-infinite, $f$-plane model basin of a 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, an additional wave solution propagating in the opposite direction appears.

Key words: ocean dynamics, trapped waves, Kelvin wave.

UDC: 517.955.8+551.466

Received: 30.01.2008
Revised: 24.03.2009


 English version:
Numerical Analysis and Applications, 2009, 2:4, 364–376

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© Steklov Math. Inst. of RAS, 2026