Air–water flows at hydraulic structures are commonly observed and called white waters. The free-surface aeration is characterised by some intense exchanges of air and water leading to complex air–water structures including some clustering. The number and properties of clusters may provide some measure of the level of particle-turbulence and particle–particle interactions in the high-velocity ai...

Design widows on free surface flows in the APEX study are derived from the viewpoints of the free surface heat transfer, the adaptation of liquid flows to the topological constraints, and temperature requirements for plasma operation and power conversion efficiency. Within these constraints, the temperature of the free liquid surface facing the plasma is the most critical parameter governing th...

This paper presents an enhancement to the free surface lattice Boltzmann method (FSLBM) for the simulation of bubbly flows including rupture and breakup of bubbles. The FSLBM uses a volume of fluid approach to reduce the problem of a liquid-gas two-phase flow to a single-phase free surface simulation. In bubbly flows compression effects leading to an increase or decrease of pressure in the susp...

A New Algorithm for Continuation and Bifurcation Analysis of Large Scale Free Surface Flows

The mechanism for the generation of vorticity at a viscous free surface is described. This is a free-surface analogue of Lighthill’s strategy for determining the vorticity flux at solid boundaries. In this method the zero-shear-stress and pressure boundary conditions are transformed into a boundary integral formulation suitable for the velocity– vorticity description of the flow. A vortex sheet...

We introduce a new PDE free boundary problem that in a singular limit admits an interesting metaphoric interpretation, describing how “water” originating from “rainfall” flows along a landscape of varying height, forming “lakes” and also “rivers” and “surface flows”, the latter described by transport equations along downhill gradient flows.

The modeling of various types of free surface flow is presented, ranging from incompressible Newtonian flows, to non-Newtonian viscous ice flows. A numerical method for the simulation of such flows that relies on an Eulerian approach based on the volume-of-fluid formulation is advocated. A

While the structure and dynamics of boundary layers on rigid no-slip walls in rotation dominated enclosed flows are still an area of active research, the interactions between rotating or swirling flows with a free surface have received comparatively less attention. For the most part, investigations in this area have been focused on clean free surfaces, which may be treated as stress-free. Howev...