## Numerical methods for fluid-structure interaction

#### Special topics in numerical analysis [201NUMASP2V12]

### Winter term 2015 / 16 at JKU Linz

#### ♦Time and place:

- Time (lecture): Monday, 13:45 - 15:15
- Time (exercise): Monday, 15:30 - 16:15
- Place: S2 044
- Further information in KUSSS

#### ♦Lecture notes:

#### ♦Exercises:

- Exercise 9 (Jan 08, 2016)
- Exercise 8 (Dec 20, 2015)
- Exercise 7 (Dec 07, 2015)
- Exercise 6 (Nov 29, 2015)
- Exercise 5 (Nov 16, 2015)
- Exercise 4 (Nov 16, 2015)
- Exercise 3 (Nov 02, 2015)
- Exercise 2 (Oct 12, 2015)
- Exercise 1 (Oct 05, 2015)

#### ♦Overview:

#### ♦Contents:

- 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)

#### ♦Prerequisites:

- Basic Lectures on Analysis and Linear Algebra (required)
- Introduction to Numerical Mathematics (required)
- Numerical methods for ordinary differential (ODE) equations (would be best)
- Numerical methods for partial differential (PDE) equations (would be best)
- Functional analysis (would be helpful; but not mandatory)
- Concepts of continuum mechanics (if possible)

#### ♦Literature:

- Continuum mechanics: G.A. Holzapfel, Nonlinear solid mechanics; Wiley 2000
- Numerical methods for differential equations: Numerical treatment of partial differential equations by Ch. Grossmann, H.-G. Roos, M. Stynes
- Numerical methods for fluid and solid mechanics: Numerische Mathematik 3 Numerische Methoden für Probleme der Kontinuumsmechanik by R. Rannacher (in german)
- Numerische Methoden in der Stroemungsmechanik, Universität Heidelberg, 2014 by T. Richter (in german)
- Lecture notes to this class from myself, T. Wick

#### ♦Contact:

- Please make appointments via email: thomas.wick@ricam.oeaw.ac.at

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