Numerical Methods for Hyperbolic PDEs - Summer 16

From Sccswiki
Jump to navigation Jump to search
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



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.