Parametric internal waves in a compressible fluid

Large-amplitude internal solitary waves in a two-fluid model

We compute solitary wave solutions of a Hamiltonian model for large-amplitude long internal waves in a two-layer stratification. Computations are performed for values of the density and depth ratios close to oceanic conditions, and comparisons are made with solutions of both weakly and fully nonlinear models. It is shown that characteristic features of highly nonlinear solitary waves such as br...

Internal Waves and Boundary Layers in a Density-stratified Fluid

Internal tides, generated in the density-stratified ocean by the oscillation of the barotropic tide over bottom topography, play a crucial role in the energy balance of the Earth–Moon system [1]. This has led to a recent revival of the classical topic of internal gravity wave generation by oscillating bodies. Wave energy dissipates owing to wave breaking and suband superharmonic excitation, at ...

Gravitational Waves in a Shallow Compressible Liquid

Rayleigh-Taylor Instability in a Compressible Fluid

Rayleigh-Taylor instability in a compressible fluid is reconsidered. The density is allowed to vary with pressure under the barotropy assumption. For the case with equal speeds of sound in the two superposed fluids, in order to give a non-trivial compressibility correction to the Rayleigh-Taylor growth rate, the compressibility correction is calculated to O(g/ka). To this order, compressibility...

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...