Fully Nonlinear Internal Solitary Waves
Internal solitary waves (ISWs) are finite amplitude waves of permanent form that travel along density interfaces in stably stratified fluids. They owe their existence to an exact balance between non-linear wave steepening effects and linear wave dispersion. They are common in all stratified flows especially coastal seas, straits, fjords and the atmospheric boundary layer. In the ocean, they are a source of momentum and mixing that can (i) transport heat and nutrients vertically, (ii) re-suspend sedimentary material and (iii) transport mass over large distances. They are subsequently of interest from both an environmental and offshore engineering point of view.
Numerical (contour advective pseudo-spectral) and experimental (sluice gate) techniques to model large amplitude ISWs will be presented. In particular investigation of (i) shear-induced instabilities in large amplitude ISWs, (ii) near bottom instabilities in the wave induced bottom boundary layer, (iii) mode-2 wave characteristics and (iv) interaction of ISWs with sea-ice will be explored.