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Modulbeschreibung - Detailansicht

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Moduldetails
Numerische Methoden für Fluid-Struktur-Interaktion
Fakultät für Mathematik
TUMAFMA
5
1
1
MA5514
2015S
2015S
Zuordnungen zu SPO-Versionen
Lehrveranstaltungen und Prüfungsveranstaltungen
Beschreibungen
14S
Export
Allgemeine Daten (Modulhandbuch)
Master
Einsemestrig
Einmalig
Englisch
Arbeitsaufwand (Work Load)
150
45
105
Studien- und Prüfungsleistungen
Oral exam at the end of the semester
N
J
Beschreibung
- MA3001 Functional analysis (would be helpful; but not mandatory)
- MA3005 Partial differential equations (if possible)
- MA3303 Numerical methods for partial differential equations (required)
- Concepts of continuum mechanics (if possible)
After successful completion of the module, students are able to formulate, couple, discretize and simulate coupled PDE systems in which one (the fluid) is formulated in Eulerian coordinates and the other (the solid) in Lagrangian coordinates.

In this class, students will learn about coupling conditions for interface problems. They will get an understanding about the properties of the single subsystems (i.e., their mathematical properties and related types of discretization).
1) Basic concepts in continuum mechanics
2) Modeling of fluid flows and solid mechanics
3) FSI-modeling: coupling techniques of fluids and solids,
transformations between Eulerian and Lagrangian
coordinate systems
4) Discretization: Time, space (FEM), nonlinear and
linear solvers
5) Sensitivity analysis for FSI: a posteriori error estimation,
gradient-based optimization (if time permits)
Class and exercise
Blackboard, Beamer, Exercise sheets
1) Numerical treatment of partial differential equations
by Ch. Grossmann, H.-G. Roos, M. Stynes
(for basics in FEM)
2) Numerische Mathematik 3 Numerische Methoden für
Probleme der Kontinuumsmechanik
by R. Rannacher (Online script at Heidelberg
University, in german)
3) Numerische Methoden in der Stroemungsmechanik,
Universität Heidelberg, 2014 by T. Richter
(Online script, in german)
4) Lecture notes to this class by T. Wick; will be
prepared this winter and during the class (in english)
Modulverantwortliche*r
Boris Vexler (vexler@ma.tum.de)