Abstract:
The sub-inertial internal Kelvin wave solutions of a linearized system of the ocean dynamics equations for a semi-infinite two-layer $f$-plane model basin of a constant depth bordering a straight, vertical coast are described. A rigid lid surface condition and no-slip wall boundary condition are considered. The trapped wave equations are presented. Approximate solutions using the asymptotic method are constructed. In the absence of bottom friction, the solution consists of a frictionally modified Kelvin wave and a vertical viscous boundary layer. On the no-slip bottom boundary condition, the solution consists of a modified Kelvin wave, two vertical viscous boundary layers and a large cross-section scale component. Numerical solutions for the Kelvin waves are considered at such values of modelling parameters, when it is necessary to simultaneously take account of lateral viscosity, bottom stress and the friction between layers.
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