Three-dimensional aspects of nonlinear stratified flow over topography near the hydrostatic limit (Q2711501)

The authors study three-dimensional finite-amplitude internal wave disturbances of inviscid incompressible fluid nonlinearly stratified near the hydrostatic limit, over a bottom with local deformation more elongated in the spanwise direction than in the streamwise direction. The analysis is made in two different cases: a channel of finite depth, and vertically unbounded uniformly stratified flow. The stream function and potential are unkowns of the problem. The authors non-dimensionalize the equations and solve the corresponding boundary value problem using a perturbation method. A matching procedure is applied to the inner flow around the bottom topography, and to the outer flow away from the topography. The results of the analysis are compared with related two-dimensional results obtained by other authors.