This page displays the results obtained by MIDN 1/C Nathan Brasher and MIDN 1/C Grant Gillary whose Trident Scholar projects aimed at applying mathematical results from dynamical systems theory and normal mode analysis to develop computational tools for understanding the hydrodynamic properties of the Chesapeake Bay.
MIDN Brasher's project, titled "Trajectory and Invariant Manifold Computation for Flows in the Chesapeake Bay," applied the methodology developed by Prof. Steve Wiggins and his colleagues at the University of Bristol (see the Laboratory for Advanced Computation in the Mathematical Sciences (LACMS) for resources and details of the dynamical systems approach that is being developed) to a velocity vector field obtained by NOAA (see the Office of Coastal Survey's page for the description of the Chesapeake 3-dimensional Physical Oceanographic Model (C3PO) for a introduction to NOAA's comprehensive program on modeling the Bay). Results are obtained on how particles of fluid behave near the mouth of the bay (see links below) as well as residence time and Synoptic Lagrangian Maps. All computations are performed in MATLAB.
MIDN Gillary's projects, titled "Normal Mode Analysis of the Chesapeake Bay", entails computation of the normal modes of the Bay. This project was motivated by the work of Profs. D. Kirwan and B. Lipphardt of the University of Delaware (see Dr. Lipphardt's website ( College of Marine Studies) where details of the normal mode methodology and it applications to the Monterey Bay are described.) In this project Dirichlet, Neumann and inhomogenous modes of the Chesapeake Bay are computed by applying the finite difference method in MATLAB. These results are compared with the equivalent results one obtains in FEMLAB, the MATLAB-based software that employs the finite element method to solve for solutions of PDEs.
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