Numerical Methods for Earthquake and Tsunami Simulation - Summer 15
- Summer 2015
- Prof. Dr. Michael Bader, Alexander Breuer, Oliver Meister
- Time and Place
- Computational Science and Engineering (Seminar, module IN2183),
Informatics (Master-Seminar, module IN2107)
- Semesterwochenstunden / ECTS Credits
- 2 SWS (2S) / 4 Credits
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 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, time stepping schemes, 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.
- preliminary session: 01/22/15, 2PM, 02.13.010
- 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
- (reserved) 2D/3DEquations
- Source Terms / Well-balanced Schemes
- Advanced Numerical Methods
- (reserved) Local Time Stepping
- Discontinuous Galerkin (Basics: Weak Forms, Basis Functions)
- Discontinuous Galerkin (Applications: SWE, Earthquakes)
Propagation of the Tohoku 2011 tsunami using 16 MPI ranks.
Earthquake simulation of the L'Aquila event (in collaboration with S. Wenk, LMU).