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Fluid Dynamics
Colloquium
Monday, Feb 13th, 2006,
11:30 AM
Cullimore Lecture Hall, Room 611
New Jersey Institute of
Technology
A Study of Vortex Sheet Motion with Density Stratification in an
Inclined Channel
Lyudmyla L. Barannyk
Department of Mathematics,University of Michigan, Ann Arbor
Abstract
A model of two incompressible, immiscible density stratified fluids subject to Kelvin-Helmholtz instability is considered. The approach uses a boundary integral representation in which the fluid interface is represented as a free vortex sheet and the channel walls as bound vortex or source sheets. The dynamics of the interface is studied? numerically using the vortex blob method. The goal is to simulate the flow in the inclined channel and compare the numerical results with the experimental results obtained by Thorpe [J. Fluid Mech. 46 (1971) 299--319]. If time permits, the singularity formation in vortex sheets in the channel will be addressed.