: Wolfgang Schröder
: Wolfgang Schröder
: Summary of Flow Modulation and Fluid-Structure Interaction Findings Results of the Collaborative Research Center SFB 401 at the RWTH Aachen University, Aachen, Germany, 1997-2008
: Springer-Verlag
: 9783642040887
: 1
: CHF 189.50
:
: Luft- und Raumfahrttechnik
: English
: 420
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"Development of a Modular Method for Computational Aero-structural Analysis of Aircraft(S. 205-206)

Lars Reimer, Carsten Braun, GeorgWellmer, Marek Behr, and Josef Ballmann

Abstract.
This paper outlines the development of the aero-structural dynamics method SOFIA over the duration of the Collaborative Research Center SFB 401. The algorithms SOFIA applies for the spatial and the temporal aero-structural dynamics coupling are presented. It is described in particular how SOFIA’s load and deformation transfer algorithms suitable for non-matching grids at the coupling interface were enhanced towards the application to complete aircraft configurations. The application of SOFIA to various subsonic and transonic aeroelastic test cases is discussed.

1 Introduction


The design of high-performance wings for large commercial aircraft requires the inclusion of their aeroelastic properties into the aerodynamic and structural design process. During preliminary design, the geometry of the wing is defined as a compromise between good flight performance during take-off, landing and cruise flight on the one hand and load capacity and weight of the structure on the other hand. In an iterative fashion, the aerodynamic shape, the loads, the construction of the wing assembly and the deformation are studied sequentially and more or less independently. Aerodynamic wind tunnel testing with rigid or nearly-rigid reduced-scale models plays a key role.

But in those tests, similarity with the full scale body can only be achieved in a very limited manner, primarily with respect to the aerodynamic parameter Mach number and to a certain extent also with respect to the Reynolds number. Aeroelastic similarity is usually not achieved. Based on the aerodynamic analysis, wing loads, deformations and particularly the aerodynamic twist are determined. Then the wing geometry and construction of the wing assembly are modi- fied a posteriori so that after taking into account the static aeroelastic deformation in cruise flight sufficient lift and minimum drag are ensured.

The described design and construction procedure requires several iterations because in every step the aeroelastic coupling and the nonlinearity of the problem cannot be captured completely. Besides that, nonlinear flutter possibly occuring in the transonic flow regime cannot be predicted with such a procedure. Therefore it is necessary to develop numerical methods, which reliably predict the interaction between aerodynamic, structural and inertial forces. Such a numerical method has been progressively developed in the past four funding periods of the Collaborative Research Center SFB 401 Flow Modulation and Fluid-Structure Interaction at Airplane Wings at RWTH Aachen University. This paper gives an overview about this numerical method named SOFIA and its past and present development stages. The organization of the subsequent sections of this paper is as follows."
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Title Page2
Preface6
Contents8
List of Contributors10
Introduction14
Vortex Sheets of Aircraft in Takeoff and Landing18
Introduction19
Experimental Facilities20
Wind Tunnel20
Water Tunnel20
Towing Tank21
Measurement Instrumentation22
Hot-Wire Anemometry22
Particle Image Velocimetry22
Model23
Results24
Near Field24
Extended Near Field28
Far Field32
Force Fluctuations37
Conclusion38
References39
An Adaptive Implicit Finite Volume Scheme for Compressible Turbulent Flows about Elastic Configurations41
Introduction41
Physical Model43
Governing Equations43
Turbulence Models44
Transition Modeling46
Boundary Conditions48
Numerical Methods48
Finite Volume Scheme48
Matrix-Free Newton-Krylov Method52
Fluid Structure Interaction53
Results53
Fishtail54
Laminar Flat Plate55
Transitional Flow over a Flat Plate56
High-Lift Configuration57
BAC 3-11 Airfoil - Shock Buffet60
FSI - HIRENASD60
Performance of the Matrix-Free Newton-Krylov Method63
Conclusion65
References65
Timestep Control for Weakly Instationary Flows68
Introduction68
Governing Equations and Finite Volume Scheme70
Adjoint Error Control - Adaptation in Time72
Variational Formulation72
Adjoint Error Representation for Target Functionals73
Space-Time Splitting74
The Conservative Dual Problem75
Adaptive Concept76