Linear simulations of acoustic wave propagation in a sun-like spherical shell

Helioseismology is the study of the variations in the internal structure and properties of the dynamics of the sun from measurements of its surface oscillations. We are interested in validating and determining the efficacy of the helioseismic measurement procedure. To this end, we simulate acoustic wave propagation in a solar-like spherical shell that extends from 0.2R to about 1.0004 R, where R is the radius of the sun. In order to render the calculation tractable, wave propagation is treated as a linear phenomenon. In this article, I will discuss the difficulties that are consequent to the assumption of linearity and the methods to resolve them thereof.