In this paper the capability of the two-fluid model to describe the transition from stratified to slug flow is investigated, by employing three different numerical discretization techniques: classical finite volume, discontinuous Galerkin, and a Lagrangian finite volume approach. It is shown that stratified wavy flow can transition from well-posed to ill-posed following the KelvinHelmholtz inst...

[1] We performed laboratory experiments of thermochemical convection in order to determine the rate at which an initially density-stratified, and hence layered, mantle will be homogenized. In the experiments, two layers of fluid with similar viscosities are superposed and heated from below. Initially, in the ‘‘stratified’’ regime, mechanical entrainment into both layers occurs by viscous coupli...

We examine the settling of monodisperse heavy particles released into a fluid when the resulting motion is sufficiently vigorous that the particle cloud initially assumes the form of a turbulent thermal. A laboratory study is complemented by numerical simulations of particle cloud dynamics in both homogeneous and stratified ambients. In the homogeneous ambient, the cloud generated by a total bu...

Fluid in Geophysics including atmosphere and ocean, compared with the normal fluid in Hydrodynamics, its properties, such as density, pressure, temperature and velocity, all change along with altitude. That is to say, fluid in Geophysics is stratified. Therefore, the characteristics of its turbulence at different stratifications will not be the same, either. Some special characteristics, as wel...

The large-scale circulation of the world’s oceans can be modeled by systems of partial differential equations of fluid dynamics, as scaled and parameterized for oceanic flows. This paper outlines some physical, mathematical, and computational aspects of such modeling. The topics include multiple length, time, and mixing scales; the choice of vertical coordinate; properties of the shallow water ...

The slow motion of a body through a stratified fluid bounded laterally by insulating walls is studied for both large and small Peclet number. The Taylor column and its associated boundary and shear layers are very different from the analogous problem in a rotating fluid. In particular, the large Peclet number problem is non-linear and exhibits mixing of statically unstable fluid layers, and hen...