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Simulation und wissenschaftliches Rechnen 2

Lecturers

Details

Time and place:

  • Wed 14:15-15:45, Room H4

Fields of study

  • PF CE-MA-INF from SEM 2
  • PF CE-BA-G from SEM 6
  • WPF INF-MA from SEM 2

Prerequisites / Organizational information

The participants should have a sound background in engineering mathematics and a higher programming language (preferably C/C++).

Four hours of lecture are given each week. Furthermore, there are two board exercise lessons and three computer exercise lessons offered per week. The participants can choose which one of the board exercise lessons to attend, computer exercise lessons can be attended according to requirements.

Content

Simulations are becoming more and more important in various fields of engineering as a fast, cheap and flexible alternative to real-world experiments.
In order to successfully carry out such simulations, a profound knowledge of the respective physical models, numerical discretization and solution methods, and performance-aware programming techniques is indispensable.

The course "Simulation and Scientific Computing 2" covers these essential aspects of simulations in detail on the basis of typical engineering problems:

- Introduction to multigrid methods
- Concept and implementation of the finite element method
- discretization grids and interpolation
- Computational fluid dynamics: Finite difference discretization and lattice Boltzmann method
- Computational mechanics: finite elements for linear elasticity
- Computational electromagnetics: FTDT for Maxwell's equations

Recommended Literature

- Briggs, Henson, McCormick - A Multigrid Tutorial. SIAM. - Axelsson, Barker - Finite Element Solution of Boundary Value Problems. SIAM. - Braess - Finite elements. Cambridge University Press. - Grossmann, Roos, Stynes - Numerical treatment of partial differential equations. Springer. - Timm Krüger, and others. The Lattice Boltzmann Method: Principles and Practice. Springer. - Allen Taflove and Susan C. Hagness. Computational Electrodynamics: The Finite-Difference Time-Domain Method. Artech House.

Additional information

Keywords: multigrid methods, Finite Element method, lattice Boltzmann method, computational mechanics, computational electromagnetics

Expected participants: 66

www: http://www.studon.uni-erlangen.de/univis_2018s.Lecture.40161256