Numerical Methods for Earthquake and Tsunami Simulation - Summer 15

Term

Summer 2015

Lecturer

Prof. Dr. Michael Bader, Alexander Breuer, Oliver Meister

Time and Place

tba

Audience

Computational Science and Engineering (Seminar, module IN2183),
Informatics (Master-Seminar, module IN2107)

Tutorials

-

Exam

-

Semesterwochenstunden / ECTS Credits

2 SWS (2S) / 4 Credits

TUMonline

tba

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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 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.

Organization

• preliminary session: 01/22/15, 2PM, 02.13.010

Topics

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

Examples

Propagation of the Tohoku 2011 tsunami using 16 MPI ranks.

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Earthquake simulation of the L'Aquila event (in collaboration with S. Wenk, LMU).