Near-critical reflection of internal waves

Near - critical reflection of internal waves

Using a matched asymptotic expansion we analyse the two-dimensional, near-critical reflection of a weakly nonlinear internal gravity wave from a sloping boundary in a uniformly stratified fluid. Taking a distinguished limit in which the amplitude of the incident wave, the dissipation, and the departure from criticality are all small, we obtain a reduced description of the dynamics. This simplif...

Observation of near-critical reflection of internal waves in a stably stratified fluid

Propagation and reflection of internal waves

Fully nonlinear numerical simulations are performed to examine the behavior of large-amplitude internal gravity waves incident upon a level where the Doppler-shifted frequency of the waves is comparable to the background buoyancy frequency. Although linear theory predicts that the waves should reflect if the Doppler-shifted frequency is greater than the buoyancy frequency, it is found that nonl...

ARTICLES A diffuse-interface description of internal waves in a near-critical fluid

We present a diffuse-interface treatment of the internal gravity waves which have been observed experimentally by Berg et al. in xenon near its thermodynamic critical point. The results are compared with theoretical predictions by Berg et al. that were obtained using separate models above and below the critical temperature Tc . The diffuse-interface model applies both above and below Tc , and i...

Reflection and transmission of waves near the localization threshold

A theory is presented for propagation of waves in bounded media near the mobility edge, based on the self-consistent theory for localization. It predicts a spatially inhomogeneous diffusion constant that leads to scale dependence in enhanced backscattering and transmission.