内部重力波の斜め反射により生じる平均流について (非線形波動現象の数理とその応用)

Weakly nonlinear analysis is utilized to discuss the mean flow induced by the reflection of an internal gravity wave beam at a uniform rigid slope, in the case where the beam planes of constant phase meet the slope at an arbitrary direction, not necessarily parallel to the isobaths, and the flow cannot be taken as two-dimensional. Along the vertical, the Eulerian mean flow due to such an oblique reflection is equal and opposite to the Stokes drift so the Lagrangian mean flow vanishes, similar to a two-dimensional reflection. The horizontal Eulerian mean flow, however, is controlled by the mean potential vorticity (PV) and the corresponding Lagrangian mean flow is generally nonzero, in contrast to two-dimensional flow where PV identically vamishes. For an oblique reflection, furthermore, viscous dissipation can trigger generation of horizontal mean flow via irreversible production of mean PV, a phenomenon akin to streaming. This report is based on Kataoka& Akylas (2019).