MIDIT OFD CATS Modelling, Nonlinear Dynamics Optics and Fluid Dynamics Chaos and Turbulence Studies and Irreversible Thermodynamics Risø National Laboratory Niels Bohr Institute and Technical University of Denmark Building 128 Department of Chemistry Building 321 P.O. Box 49 University of Copenhagen DK-2800 Lyngby DK-4000 Roskilde DK-2100 Copenhagen Ø Denmark Denmark Denmark
by James Stirling
Wednesday January 12, 2000, 13.00 h
at OFD-Meeting Room, Bld. 130,
Risø National Laboratory, Roskilde
Abstract: We extend the techniques developed in the first talk to look at chaotic advection, bifurcation and transport on the bounding surface of a fully coupled 3-dimensional map of our estuarine flow. For non slip boundary conditions in a fluid flow such surfaces are 2-dimensional invariant manifolds on which the flow is generically non-area preserving and hence due to the time periodicity can be reduced to a 2 dimensional non-area preserving Poincaré map. We then apply these techinques to the problems of patchiness and optimal discharge of pollution in our estuarine flow.