SC²S Colloquium - August 26, 2014

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Date: August 26, 2014
Room: 02.07.023
Time: 3 pm, s.t.

Philipp Samfaß: Towards a Non-Hydrostatic Shallow Water Extension of the Finite Volume Solver SWE

The shallow water equations have established themselves as a physically appropriate mathematical model for the simulation of tsunamis. Originating from the Euler equations of fluid mechanics, they include several simplifications that render their efficient solution possible. One of them is the assumption that only hydrostatic pressure is physically relevant. Yet, in the transition regime from shallow to deep water, this assumption is no longer valid. Therefore, the current finite volume solver SWE for the hydrostatic shallow water equations is in this Bachelor's thesis extended towards modified non-hydrostatic shallow water equations. In this talk, the applied numerical approach is discussed and the numerical results of the new model showing the influence of the non-hydrostatic pressure are presented.