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Numerical Methods for Hyperbolic PDEs - Summer 16

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Term
Summer 2016
Lecturer
Vasco Varduhn, Angelika Schwarz, Christoph Kowitz
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
TUM Online



Contents

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 shallow water equations (tsunamis). In this context typical challenges are tackled: Fundamentals of the shallow water equations and numerical treatment, (h-)adaptivity, (shared- and distributed-memory) parallelization, storage and visualization of solution fields, Riemann solvers, non-linearities, limiters, high-order discretization, time stepping schemes, 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.

Organization

  • preliminary session: Thursday, January 28, 01:00pm. Room: 00.12.019 Slides
  • kick-off: Wednesday, April 20, 01:00pm. Room: 02.07.023 Slides
  • Students' presentations. Room: 02.07.023:
    • Tuesday, June 14, 02:00pm - 04:30pm
    • Wednesday, June 15, 01:00pm - 03:00pm
    • Thursday, June 16, 03:00pm - 06:00pm
    • Wednesday, June 22, 12:00pm - 3:30pm Update!

General remarks about schedule and organization: Remarks

Topics

The distribution of topics can be seen on the Moodle page.

Examples

Mpi.png

Propagation of the Tohoku 2011 tsunami using 16 MPI ranks.