Numerical Methods for Earthquake and Tsunami Simulation - Summer 15

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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



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

Mpi.png

Propagation of the Tohoku 2011 tsunami using 16 MPI ranks.


Laquila 500s.png

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