Modulbeschreibung - Detailansicht

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
Export
Allgemeine Daten (Modulhandbuch)
 Master
 Einsemestrig
 Einmalig
 Englisch
 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 mechanics2) Modeling of fluid flows and solid mechanics3) FSI-modeling: coupling techniques of fluids and solids, transformations between Eulerian and Lagrangian coordinate systems4) Discretization: Time, space (FEM), nonlinear and linear solvers5) 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)