Faculty Advisor

Humi, Mayer

Abstract

This project models the behavior of steady gravity waves in the atmosphere over terrain using Long's Equation. We examine the derivation and assumptions behind the equation and determine how its solution depends on its parameters and the height of the terrain. We solved the equation both analytically using perturbation methods and numerically using the finite difference method with a sponge layer to prevent unrealistic wave reflection at the boundary.

Publisher

Worcester Polytechnic Institute

Date Accepted

April 2008

Major

Mathematical Sciences

Project Type

Major Qualifying Project

Accessibility

Unrestricted

Advisor Department

Mathematical Sciences

Advisor Program

Mathematical Sciences

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