Chesapeake Bay Analysis using Time and Spatial Generalized EigenfunctionsK. McIlhany1 and R. Malek-Madani2
1Physics Department, United States Naval Academy, Annapolis, MD, USA
2Mathematics Department, United States Naval Academy, Annapolis, MD, USA
A Normal Mode Analysis of the Chesapeake Bay has reached the phase of performing a time-series analysis. Prior attempts using generalized eigenfunctions obtained from COMSOL have led to extraction of power spectra using a partial domain extraction and a waveletlike correction to the result.
A new approach has been developed which effectively solves the spatial equivalent of the Initial Value Problem. By taking data sets at a limited number of points (about 10) over extended periods of time, the Chesapeake Bay's flow vector field can be extracted from the power spectra.
This method combines the spatial modes derived from COMSOL with the generalized basis set for time. By overlaying windows of the spectra obtained, a progression of the spectral components is obtained for the lowest 100 eigenmodes.