Dimension reduction applied to a model of sea breezes

Itir Mogultay; Todd F Dupont; Gidon Eshel. 28 May, 2007.
Communicated by Todd Dupont.


Dimension reduction is applied to a model of the sea breeze. A two-dimensional model which exhibits behavior commonly seen near shore lines is semi-discretized in one direction using a Galerkin method. This gives a small system of one-dimensional partial differential equations. The basis functions for the Galerkin are chosen based on the nature of the sea breeze circulation. Using two basis functions constructed from polynomials composed with an exponential gives a model with results comparable to observations. Stability and convergence results are proved at the end of the paper for the Galerkin method on the sea breeze model.

Original Document

The original document is available in PDF (uploaded 11 June, 2007 by James Mokwa).