Monday 20 August
09:00 - 10:30 Ballmann: Course
11:00 - 12:00 Ballmann: Exercises and/or discussion
14:00 - 15:30 Ballmann: Course
16:00 - 17:00 Ballmann: Exercises and/or discussion

Topic:
Fluid-Structure Interaction at Large Span Airplane Wings by Direct Numerical Aeroelastic Simulation which means simultaneous and time consistent solution of the conservation laws for compressible fluids and the equations of structural dynamics for the wing. I will refer to the current work within the Collaborative Research Center SFB 401 "Modulation of Flow and Fluid Structure Interaction at Airplane Wings", within which mathematicians and aeronautical engineers are participating with all together 16 research projects. Please visit our homepage at http://www.lufmech.rwth-aachen.de/sfb401/

Tuesday 21 August
09:00 - 10:30 Schaefer: Course
11:00 - 12:00 Schaefer: Exercises and/or discussion
14:00 - 15:30 Schaefer: Course
16:00 - 17:00 Schaefer: Exercises and/or discussion

Topic:
Numerical simulation of coupled fluid-solid problems:
* Examples of applications
* Modelling aspects
* Discretization techniques
* Solution methods
* Numerical realization of coupling
* Aspects of accuracy and efficiency
* Exemplary results and computer animations

Wednesday 22 August
09:00 - 10:30 Tobiska: Course
11:00 - 12:00 Tobiska: Exercises and/or discussion
14:00 - 15:30 Tobiska: Course
16:00 - 17:00 Tobiska: Exercises and/or discussion

Topic:
As one part of fluid-structure interaction problems we consider the numerical solution of the incompressible Navier-Stokes equation in domains with moving boundaries. The main focus will be on:
* stable higher order finite element discretizations
* robust non-nested multi-level solvers for mixed problems

Thursday 23 August
09:00 - 10:30 Vierendeels: Course
11:00 - 12:00 Vierendeels: Exercises and/or discussion
14:00 - 15:30 Vierendeels: Course
16:00 - 17:00 Vierendeels: Exercises and/or discussion

Topic:
* The pseudo-compressibility method (used as stabilization method for fluid-structure interaction calculations),
* Presentation of an algorithm for grid node displacement in case of high deformation of the boundaries + application,
* Fluid-structure interaction algorithm (+ stability analysis) + application.

My intention is to explain in detail all these components that we use in our fluid-structure interaction computations. So, it will be rather a case study that I will present.

Friday 24 August
09:00 - 10:30 Quarteroni: Course
11:00 - 12:00 Quarteroni: Exercises and/or discussion
14:00 - 15:30 Quarteroni: Course
16:00 - 17:00 Quarteroni: Exercises and/or discussion

Topic:
Fluid-structure interaction in haemodynamics

In these lectures I will describe the flow-structure model which describes the blood motion in compliant vessels. The Navier-Stokes equations are used for the flow field, whereas several kind of models can be adopted to predict the displacement of the artery walls. I will present a-priori estimates for the coupled solution, then I will introduce an iterative algorithm to decouple the computation. The finite element approximation of the coupled problem will be analyzed, and several results of real physiological interest will be illustrated.

Monday 27 August
09:00 - 10:30 Hemon: Course
11:00 - 12:00 Hemon: Exercises and/or discussion
14:00 - 15:30 Hemon: Course
16:00 - 17:00 Hemon: Exercises and/or discussion

Topic:
The Aeroelastic Behaviour of Elongated Bluff Bodies The objective is to present the physical phenomena occuring on flexible structures subjected to a low speed air flow. The course will focus on the Movement-Induced Vibrations problems and the methods of predictions. After the review of the phenomena, two main applications will illustrate the course :
- The tube bundles in cross-flow, as in the heat exchangers
- The rectangular sections, as for the suspended bridges and their pylons
Finally, we will describe and use a proper orthogonal decomposition method on the aerodynamic data in order to extract the main mechanisms involved in the aeroelastic coupling. A test case on a rectangular section will be presented in order to open the discussion around this interesting technique.

Tuesday 28 August
09:00 - 10:30 Ingram: Course
11:00 - 12:00 Ingram: Exercises and/or discussion
14:00 - 15:30 Ingram: Course
16:00 - 17:00 Ingram: Exercises and/or discussion

Topic:
The title of the lectures will be "Cartesian cut cell techniques for moving bodies" and I will cover, the Euler and Shallow Water equations, Godunov type schemes, Riemann solvers - exact and HLL with suitable estimates, MUSCL Reconstruction, the Cut cell technique for static and moving bodies and finally discuss some applications.

Wednesday 29 August
09:00 - 10:30 Leyland: Course
11:00 - 12:00 Leyland: Exercises and/or discussion
14:00 - 15:30 Leyland: Course
16:00 - 17:00 Leyland: Exercises and/or discussion

Topic:
Algorithms for Fluid-Structure Coupling techniques are investigated in the time domain for typical problems arising in aeroelasticity of wings and turbomachinery components (flutter). In practical cases it is often sufficient to use frequency domain techniques based on linearized equations and a linear relationship between the aerodynamic loads and the structural deformation. These methods fail when non-linear effects are important such as vibrating shocks as in transonic regimes or non linearities in the structure properties, then time domain methods are necessary. The fluid and the structural equations can be solved separately or together, in each case the reaction of the fluid from the deforming structure and vice versa takes place at the interface.
The accurate prediction of the interaction requires consistency of the interface boundary conditions with the time levels of integration of the fluid and the structure equations. If staggered algorithms are used, the time delay causes non-physical energy dissipation in the system which modifies the calculated aeroelastic behaviour. In order to be compatible, the equations must be integrated simultaneously and implicitly. These techniques are described and compared on a standard aeroelastic airfoil problem, and then applied to the direct coupling of an assembly of 20 compressor blades performing torsional vibrations
The course will be divided into:
1. General description of aeroelasticity problems, equations
2. Grid deforming techniques and mesh adaptation for oscillating airfoils
3. Algorithms for fluid-structure interaction - energy analysis
- 1d piston problem
- 2d aeroelastic airfoil
- directly coupled compressor cascade
4. Comparison with linearized methods

With all good wishes.

Miloslav Feistauer and Jiri Felcman