Helioseismology

Apr 22, 2023

Helioseismology studies the interior of the sun through solar oscillations.
In this context, current research aims to develop numerical models for the equations of solar and stellar oscillation. With numerous simplifications, one obtains the following equation:

$$\rho w - \nabla \cdot ( \rho ( u \otimes u) \nabla w) = f. $$

In this thesis, we develop and analyze a discontinuous Galerkin formulaion for this problem. Furthermore, numerical studies are performed.

PDE Helioseismology Thesis