ON THE PARAMETRIC GENERATION OF INERTIAL OSCILLATIONS BY TIDAL CURRENTS

Inertial oscillations are calculated numerically using the equations o f the hydrodynamics of incompressible heavy fluid which are linearized with respect to a tidal current with a meridional shear (the currents are the solutions of the tidal Laplace equations). The parameter doma ins, where two main tidal components become unstable, are obtained. In a particular case, the model system is reduced to the Mathieu equatio n, and the parameters (latitude and a modulation parameter proportiona l to the amplitude of the tidal flow) of a parametric resonance betwee n the inertial and the basic tidal currents are determined.