Several types of flows driven by outflows on the continental shelf are examined mathematically and numerically. Within a quasigeostrophic framework, a variety of vertical structures and topographies are used. Features are explained in terms of potential vorticity conservation. The combined effects of topography and anomalous vorticity of the outflow are studied. First, shelf-like topography is ...

Rolling vortices and chaotic swirling are the most visually compelling aspect of smoke. Standard numerical simulation techniques for the animation of smoke suffer from a loss of these vortex patterns due to numerical damping. The majority of methods in computer animation use techniques such as vorticity confinement [3] to re-capture them. In this work, a Lagrangian method is presented which exp...

We investigate the influence of volume viscosity on a planar shock/hydrogen bubble interaction. The numerical model is two dimensional and involve complex chemistry and detailed transport. All transport coefficients are evaluated using algorithms which provide accurate approximations rigourously derived from the kinetic theory of gases. Our numerical results show that volume viscosity has an im...

In this paper we study the controllability of an artificial advection-diffusion system through the boundary. Suitable Carleman estimates give us the observability on the adjoint system in the one dimensional case. We also study some basic properties of our problem such as backward uniqueness and we get an intuitive result on the control cost for vanishing viscosity. Introduction Artificial adve...

Neutral thermospheric wind pattern at high latitudes obtained from cross-track acceleration measurements of the CHAMP satellite above both polar regions are used to deduce statistical neutral wind vorticity distributions and were analyzed in their dependence on the Interplanetary Magnetic Field (IMF). The average pattern confirms the large duskside anticyclonic vortex seen in the average wind p...

The dynamical equations of atmospheric flow are written using potential vorticity as the meridional coordinate and potential temperature as the vertical coordinate. Within this system, the atmosphere is divided into undulating tubes bounded by isentropic and constant potential vorticity surfaces, and, under adiabatic and frictionless conditions, the air moves through the tubes without penetrati...