This talk is based on the annotated version of a paper in Stat. We shall study the vorticity formulation for the lake equations that models the circulation of invscid fluid in a very large shallow basin with a varying bottom. Under the assume that initially the vortex region is small and isolated, we show that the problem can be formulated as a integral system. Global existence and uniqueness of classical solutions to the integral system are established. Consequently, the vortex region remains as smooth as its initial state.
Flows are typically laminar, with intermittent episodes of strong turbulent mixing.
The resulting turbulence is not of the statistically steady-state type on which existing theories are based. The underlying turbulent transport mechanisms responsible for the turbulent bursts are not yet clearly understood. We propose to render such predictions more reliable by combining experimental data with novel computational modeling initiatives. A succinct focussed review of this problem will be presented. Domain decomposition for applications with structured and unstructured grids Parallelization of scientific simulations typically requires a decomposition of the simulation domain and a mapping of the subdomains to processors.