Date of Award


Document Type


Degree Name

Doctor of Philosophy (PhD)

First Advisor

Joseph N. Sudhayda


A two dimensional, vertically averaged, hydrodynamic mathematical model on an adaptive boundary fitted grid is developed. This model addresses numerous drawbacks in the traditional finite difference models and incorporates such features as moving boundaries due to tidal incursion, and the ability to resolve irregular coastline geometries. A semi-implicit finite difference scheme is developed in order to overcome time step restrictions due to the gravity wave stability criterion. An eulerian-lagrangian formulation is used to solve the hydrodynamic equations on unsteady grid systems. The model is applied to study circulation features in Lake Pontchartrain (a medium sized physical system) and to the Bayou Chitigue channel pond system (a very small physical system), to demonstrate its ability to model systems of varying sizes and shapes.