Fundamentals of Wave Simulation - Solving Hyperbolic Systems of PDEs - Winter 17

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Term
Winter 17
Lecturer
Univ.-Prof._Dr._Michael_Bader, Leonhard Rannabauer
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) / 5 Credits
TUMonline
tba.



Description

In this seminar we address numerical methods for the simulation of hyperbolic partial differential equations. We discuss important examples of governing equations. In this context challenges typical for hyperbolic PDEs are tackled: Non-linearities with analytical solution approaches, Riemann solvers, domain decomposition, finite volume methods, high-order discretization, time stepping schemes, adaptivity, parallelization etc. Besides numerical theory we expect the students to apply and implement the learned concepts in the form of a small project, which requires extensive use of the learned theory.

Example Topics

  • 1D traffic flow analytical and numerical
  • Linear Systems and elastic waves
  • Tsunami simulation with finite volume methods
  • F-Wave Solver for Riemann problems

Examples

Mpi.png

Propagation of the Tohoku 2011 tsunami using 16 MPI ranks.