View source for Numerical Methods for Hyperbolic PDEs - Summer 15

{{Lecture
| term = Summer 2016
| lecturer = [[Dr. rer. nat. Vasco Varduhn|Vasco Varduhn]], [[Angelika Schwarz, M.Sc.|Angelika Schwarz]], [[Christoph Kowitz, M.Sc. (hons)|Christoph Kowitz]]
| timeplace = tba
| credits = 2 SWS (2S) / 4 Credits
| audience = Computational Science and Engineering (Seminar, [https://campus.tum.de/tumonline/wbStpModHB.detailPage?&pKnotenNr=458286 module IN2183]), <br>Informatics (Master-Seminar, [https://campus.tum.de/tumonline/wbStpModHB.detailPage?&pKnotenNr=485429 module IN2107])
| tutorials = -
| exam = -
| tumonline = tba
}}

= Description =
In this seminar we address numerical methods for hyperbolic partial differential equations. We discuss important examples of governing equations, with a special focus on the shallow water equations (tsunamis). In this context challenges typical for hyperbolic PDEs are tackled: Non-linearities, Riemann solvers, dimensional splitting, high-order discretization, time stepping schemes, adaptivity, parallelization etc.
Besides numerical theory a strong focus of the seminar is given by application and implementation of the learned concepts: all participants should demonstrate their presented methods and concepts via a small project, which requires extensive use of the learned theory.

= Organization=
* preliminary session: tba
* kick-off: tba
* big meetings, Wednesday 1PM
** tba
** tba

General remarks about schedule and organization: [http://www5.in.tum.de/lehre/seminare/cse/cse_seminar_hyperbolics_ss15/merkblatt.pdf Remarks]

= Topics =
<!-- * Model equations and analytical solution
** Earthquakes and Elastic Waves
** Nonlinear Waves & Shallow Water Equations
* Fluxes and Riemann-Solvers
** Godunov / Roe Solvers 
* Towards a Full EQ/Tsunami Model
** 2D/3D Equations
** Source Terms / Well-balanced Schemes
** Inundation
* Advanced Numerical Methods
** Local Time Stepping
** Discontinuous Galerkin (Basics: Weak Forms, Basis Functions)
** Discontinuous Galerkin (Applications: SWE, Earthquakes) -->

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= Examples =
[[File:Mpi.png|800px]]

Propagation of the Tohoku 2011 tsunami using 16 MPI ranks.