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.


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