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)

Lecture: Prof. Dr. Thomas Wick, Room: 03.08.053, E-Mail:

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)

  • 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.
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