Date of Award
1995
Document Type
Dissertation
Degree Name
Doctor of Philosophy (PhD)
First Advisor
Joseph N. Sudhayda
Abstract
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.
Recommended Citation
Aravamuthan, Vibhas, "A Two Dimensional Vertically Integrated Moving Boundary Hydrodynamic Model in Curvilinear Coordinates." (1995). LSU Historical Dissertations and Theses. 5933.
https://repository.lsu.edu/gradschool_disstheses/5933
Pages
128
DOI
10.31390/gradschool_disstheses.5933