Mean flows induced by internal gravity wave packets propagating in a shear flow

Computer Science

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Gravity Waves, Hydraulics, Internal Waves, Open Channel Flow, Shear Flow, Wave Packets, Euler-Lagrange Equation, Incompressible Fluids, Inviscid Flow, Mean, Steady Flow, Stress Tensors, Wave Propagation

Scientific paper

The paper describes the manner in which a wave packet is affected by changes in its environment and calculates the mean flows induced by these wave packets. Consideration is given to internal gravity waves in an inviscid, incompressible and stably stratified fluid, bounded below by a rigid structure and above by a free surface. The analysis involves waves that propagate relative to a basic state, characterized by a density gradient and a horizontal shear flow on mean motions induced by modulated internal gravity waves in a channel. Emphasis is placed on the generalized Langrangian mean formulation as well as on the Andrews and McIntyre (1978) method of finding appropriate radiation stress tensors. It is concluded that whenever a group velocity of waves equals the basic shear flow, then there will be sufficiently large mean flows with fine microstructure.

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