Numerical Solutions of Partial Differential Equations Using a Hydrodynamic Supernova Model
This thesis deals with how to solve nonlinear partial differential equations numerically.
For a supernova model, I examine the compressible hydrodynamic Euler equations with non-continuous initial conditions.
I compare highly sophisticated differential schemes and combine them with smoothing techniques to repress oscillations.
The computational results are faced with theoretical models, where possible.
After having established a reliable framework, the effects of different initial conditions, heat conduction, artificial viscosity and the like are studied.