Date of Award

January 2015

Degree Type


Degree Name

Master of Science in Engineering (MSE)


Mechanical Engineering

First Advisor

Kai Ming Li

Committee Member 1

Kai Ming Li

Committee Member 2

Marcial Gonzalez

Committee Member 3

Ganesh Subbarayan


The Boundary Element Method (BEM) is widely used in outdoor sound scattering prob-lems due to its computational efficiency when compared to the FEM (FEM) for certain propagation geometries. The advantage of the BEM is apparent for problem geometries where the scattering surface is much smaller than the computational domain of the prob-lem. The Green's function can be used in the BEM formulation to represent a non-locally reacting porous ground surface. The Weyl Van der Pol formula is often used to accurately calculate the Green's functions above a locally reacting surface. However, the Green’s function representation for the sound field above and below a non-locally reacting ground has not yet been established. Nevertheless, the steepest descent method can be used to derive these functions.