Numerical Methods for Hyperbolic PDEs - Summer 13
- Term
- Summer 13
- Lecturer
- Prof. Dr. Michael Bader, Alexander Breuer, Oliver Meister
- Time and Place
- see below
- Audience
- Computational Science and Engineering (IN2183, 2nd and 4th semester), Informatics (Master), Mathematics (Master)
- Tutorials
- -
- Exam
- -
- Semesterwochenstunden / ECTS Credits
- 2 SWS (2S) / 4 Credits
- TUMonline
- https://campus.tum.de/tumonline/lv.detail?clvnr=950093910&cperson_nr=&sprache=2
Description
In this seminar we address numerical methods for hyperbolic partial differential equations. We discuss important examples of governing equations, namely the elastic wave equations (earthquakes) and shallow water equations (tsunamis). In this context challenges typical for hyperbolic PDEs are tackled: Non-linearities, Riemann solvers, dimensional splitting, high-order discretization.. Besides numerical theory a strong focus of the seminar is given by application and implementation of the learned concepts: Each participant works during the seminar on a small project, which requires extensive use of the learned theory.
Organization
General remarks about schedule and organization: Remarks
Slides:
Preliminary schedule:
- Jan 25, 2013, 13pm (MI 02.09.23, preliminary session)
- April 17, 2013 (MI 01.06.011, Kickoff)
- May 29, 2013
- June 05, 2013
- June 12, 2013
Topics
| Topic | Student | Presentation date (preliminary) | Advisor |
| 1D traffic flow: exact solution | Z. Shan | May 29 | Oliver Meister |
| 1D traffic flow: numerics | M. Homolya | May 29 | Oliver Meister |
| Euler equations | V. Mikerov | June 05 | Oliver Meister |
| Roe solver | H. Stotz | June 05 | Alexander Breuer |
| f-wave solver | A. Shukaev | June 05 | Alexander Breuer |
| Tsunami simulation | O. Annamanthadoo | June 12 | Alexander Breuer |
| Earthquake simulation (& Elastics) | R. Kommajosyula | June 12 | Alexander Breuer |
Examples
Propagation of the Tohoku 2011 tsunami using 16 MPI ranks.
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Dynamic Rupture propagation (source: De la Puente, Josep, Jean-Paul Ampuero, and Martin Käser (2009), Dynamic Rupture Modeling on Unstructured Meshes Using a Discontinuous Galerkin Method, J. Geophys. Res., 114, B10302, doi:10.1029/2008JB006271).