Comments on the energy exchange between internal waves and a shear flow
Frankignoul, C.J. (1972). Comments on the energy exchange between internal waves and a shear flow, in: Nihoul, J.C.J. (Ed.) Third Liège Colloquium on Ocean Hydrodynamics, University of Liège, 3-8 May 1971. Mémoires de la Société Royale des Sciences de Liège. Sixième Série, II: pp. 51-58
In: Nihoul, J.C.J. (Ed.) (1972). Third Liège Colloquium on Ocean Hydrodynamics, University of Liège, 3-8 May 1971. Mémoires de la Société Royale des Sciences de Liège. Sixième Série, II. Société Royale des Sciences de Liège: Liège. 207 pp., more
In: Mémoires de la Société Royale des Sciences de Liège. Sixième Série. Société Royale des Sciences de Liège: Liege. ISSN 0369-1799, more
The energy exchange between internal waves of finite amplitude and a simple steady shear flow is investigated in the case where the overall Richardson number is large. It is shown that the progressive transfer of the wave energy to the mean flow due to the action of the shear is the main exchange mechanism for infinitesimal waves. However, breaking due to gravitational or dynamical instability becomes very important for large amplitude waves, so that a wave theory becomes inadequate for describing energy exchanges between finite amplitude waves and a mean shear current.
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