SC²S Colloquium - April 29, 2015

Date:	April 29, 2015
Room:	02.07.023
Time:	3:30 pm, s.t.
Invited by:	Kaveh Rahnema

Philipp Samfaß: A Non-Hydrostatic Shallow Water Model on Triangular Meshes in Sam(oa)^2

For the simulation of tsunamis, the hydrostatic shallow water equations have established as a sound mathematical basis. However, due to the hydrostatic assumption, not all relevant physical effects—especially in coastal areas—can be modelled accurately. In this talk, a non-hydrostatic shallow water model is presented for the PDE-framework sam(oa)^2. After a short review of the fractional step approach used for solving the modified non-hydrostatic shallow water equations, a dual grid discretization of the non-hydrostatic pressure equation on adaptive triangular meshes is explained. This discretization allows solving the system of linear equations for the non-hydrostatic pressure correction term using a matrix-free method. Finally, the results obtained with the new model are shown for some common non-hydrostatic validation test cases.