Journal of Fluid Mechanics



On the three-dimensional internal waves excited by topography in the flow of a stratified fluid


Hideshi Hanazaki a1
a1 National Institute for Environmental Studies, Tsukuba, Ibaraki 305, Japan

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Abstract

A numerical study of the three-dimensional internal waves excited by topography in the flow of a stratified fluid is described. In the resonant flow of a nearly two-layer fluid, it is found that the time-development of the nonlinearly excited waves agrees qualitatively with the solution of the forced KP equation or the forced extended KP equation. In this case, the upstream-advancing solitary waves become asymptotically straight crested because of abnormal reflection at the sidewall similar to Mach reflection. The same phenomenon also occurs in the subcritical flow of a nearly two-layer fluid. However, in the subcritical flow of a linearly stratified Boussinesq fluid, the two-dimensionalization of the upstream waves can be interpreted as the separation of the lateral modes due to the differences in the group velocity of the linear wave, although this does not mean in general that the generation of upstream waves is describable by the linearized equation.

(Published Online April 26 2006)
(Received December 22 1992)
(Revised September 12 1993)



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