Interactions between Internal Waves and Boundary Layer Vortices

Physical Simulation of Baroclinic Waves and Vortices in the Atmosphere

Interactions between vortices and flexible walls

We give two fundamental solutions for the motion of a point vortex near a flexible wall, up to first order in wall deflection, using computational methods. For a point vortex near an infinite horizontal wall, the deformation of the wall intensifies the flow at the wall near the vortex, and increases the speed of the vortex. Near a circular wall there is a strong mutual amplification of the defl...

Coupling between internal and surface waves

In a fluid system in which two immiscible layers are separated by a sharp free interface, there can be strong coupling between large amplitude nonlinear waves on the interface and waves in the overlying free surface. We study the regime where long waves propagate in the interfacial mode, which are coupled to a modulational regime for the freesurface mode. This is a system of Boussinesq equation...

Experimental Study of Resonant Interactions of Instability Waves in an Airfoil Boundary Layer

The present paper is devoted to the detailed experimental study of weakly nonlinear resonant interactions of Tollmien-Schlichting waves in a specially designed 2D non self-similar boundary layer on an airfoil. The influence of the fundamental frequency on the efficiency of the tuned subharmonic resonance is investigated as well as the influence of frequency and spanwise wavenumber detunings. Th...

Internal Gravity Waves and Hyperbolic Boundary-value Problems†

Talk Abstract Three-dimensional time-harmonic internal gravity waves are generated by oscillating a bounded object in an unbounded stratified fluid. Energy is found in conical wave beams. The problem is to calculate the wave fields for an object of arbitrary shape. It can be formulated as a hyperbolic boundary-value problem. The following aspects are discussed: reduction to boundary integral eq...