Vertical Momentum Transfer Induced by Internal Inertial-Gravity Waves in Flow with Account of Turbulent Viscosity and Diffusion

Free internal waves in a two-dimensional vertically inhomogeneous stratified flow are considered in the Boussinesq approximation with account of the Earth's rotation and turbulent viscosity and diffusion. The third-order implicite Adams method is used to solve numerically the boundary-value problem for the amplitudr of vertical velocity of internal waves. It is found that the eigenfunction and the wave frequency are complex. Taking turbulent viscosity and diffusion into account leads to the fact that the imaginary part of wave frequency is negative, i.e., wave is damped. The vertical wave momentum fluxes are nonzero and can be commensurable with or greater than the corresponding turbulent fluxes.