On the properties of internal trapped waves in a model of ocean dynamics

Аuthors

Levin V. A.^*, Smirnov S. V.^**

Institute of Automation and Control Processes far Eastern Branch of the Russian Academy of Sciences (IACP FEB RAS), 5, Radio st., Vladivostok, 690041, Russia

*e-mail: levin@iacp.dvo.ru
**e-mail: smirnoff@iacp.dvo.ru

Abstract

The effects of viscosity and spatial finite-differencing on internal coastal trapped waves in numerical models are investigated using thef-plane shallow-water equations approximated on Arakawa В grid. Semi-infinite model basin of constant depth is bordering a straight, vertical coast. No-slip boundary conditions are considered. The solutions are presented for some «typical» values of model parameters. We found, that together with the Kelvin wave, an additional short wave solution propagating in the opposite direction appears.

Keywords:

hydrodynamic modeling, finite difference, coastal Kelvin wave