Spectral Formulation of Internal Wave Interaction.
WASHINGTON UNIV SEATTLE SCHOOL OF OCEANOGRAPHY
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Fourier representations of the equations of motion for a rotating stratified fluid are obtained both in two-dimensional and three-dimensional wave number space. It is shown that these spectral equations can be further transformed to reveal explicitly the interaction between waves and waves and between waves and eddies by decomposing the Fourier coefficients in terms of three basis functions, that correspond to the upward propagating and the downward propagating wave modes and the zero frequency horizontal eddy mode in the linear analysis. In the case of two-dimensional rotating stratified fluid motion, the transformation is made and full spectral equations up to second moments for these basis functions are derived. Author
- Fluid Mechanics