Numerical methods for fluid-structure interaction [MA5514]

Lecture notes

Overview and exercises

Contents of the Lecture
  • Basic concepts in continuum mechanics
  • Modeling of fluid flows and solid mechanics
  • FSI-modeling: coupling techniques of fluids and solids, transformations between Eulerian and Lagrangian coordinate systems
  • Discretization: Time, space (FEM), nonlinear and linear solvers
  • Sensitivity analysis for FSI: a posteriori error estimation, gradient-based optimization (if time permits)

Contact
Lecture: Prof. Dr. Thomas Wick, Room: 03.08.053, E-Mail: wick@ma.tum.de

Schedule
Lecture: Wednesday, 14:00-15:30, Room 02.10.011
Exercises: every second Monday, 14:00-15:30, Room 02.10.011 (Start: 20.04.2015)

Recommended preconditions
  • 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)

References
  • Numerical treatment of partial differential equations by Ch. Grossmann, H.-G. Roos, M. Stynes (for basics in FEM)
  • Numerische Mathematik 3 Numerische Methoden für Probleme der Kontinuumsmechanik by R. Rannacher
  • Numerische Methoden in der Stroemungsmechanik, Universität Heidelberg, 2014 by T. Richter
  • Lecture notes to this class by T. Wick; will be based on the Compact Class Pfeil and further worked out during the class (in english)

The module description can be found here.
 
TUM Mathematik Rutschen TUM Logo TUM Schriftzug Mathematik Logo Mathematik Schriftzug Rutsche

picture math department

Impressum  |  Datenschutzerklärung  |  AnregungenCopyright Technische Universität München