Abstract
Based on the fully nonlinear Boussinesq equations in Cartesian coordinates, the equations in generalized coordinates are derived to adapt computations to irregularly shaped shorelines, such as harbors, bays and tidal inlets, and to make computations more efficient in large near-shore regions. Contravariant components of velocity vectors are employed in the derivation instead of the normal components in curvilinear coordinates or original components in Cartesian coordinates, which greatly simplifies the equations in generalized curvilinear coordinates. A high-order finite difference scheme with staggered grids in the image domain is adopted in the numerical model. The model is applied to five examples involving curvilinear coordinate systems. The results of these cases are in good agreement with analytical results, experimental data, and the results from the uniform grid model, which shows that the model has good accuracy and efficiency in dealing with the computations of nonlinear surface gravity waves in domains with complicated geometries.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 337-358 |
| Number of pages | 22 |
| Journal | Coastal Engineering |
| Volume | 42 |
| Issue number | 4 |
| DOIs | |
| State | Published - Apr 2001 |
Funding
This study has been supported by the Army Research Office, Terrestrial Sciences Program through grant number DAAG55-98-1-0173, and by the Office of Naval Research, Base Enhancement Program through grant number N00014-97-1-0283. The authors would like to express their appreciation to Zeki Demirbilek and Jarrell Smith, U.S. Army Corps of Engineering, Waterway Experiment Station, who supplied the bathymetry data of Ponce de Leon Inlet.
Keywords
- Boussinesq equations
- Curvilinear coordinates
- Finite difference method
- Numerical model
ASJC Scopus subject areas
- Environmental Engineering
- Ocean Engineering