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Aeroelasticity and Structural Dynamics

Theoretical Aeroelasticity of Fixed-Wing Aircrafts and Missiles  
Development of  fluid-structure coupling with elsAw

The Aeroelasticity and Structural Dynamics department (DADS) develops the fluid-structure coupling with a Navier-Stokes fluid modeling, adopting for the flow computation the elsA software, developed by the Computational Fluid Dynamics and Aeroacoustics department (DSNA).

A very general framework of development was adopted for the implementation of all the aeroelastic simulation functionalities in elsA. These functionalities include: unsteady forced motion simulations, static coupling using a reduced flexibility matrix, static and dynamic coupling using a modal approach, and finally  static and dynamic coupling using the full finite element structural model. An "Object oriented" approach and programming was used to define an elsA subsystem   dedicated to the structural computation part of the coupled problem. A concept of  aeroelastic interface, storing the data common to fluid and structural computations, was also defined. Generic class methods, specialized according to the aeroelastic simulation type, were finally developed in order to manage the interactions between fluid and structural calculations, through the aeroelastic interface (fig. 1).


Figure 1: Concept of  aeroelastic interface for fluid-structure coupling  with  elsA
(bigger image)

In the case of static coupling, the calculation of the deformations is based on the use of a reduced flexibility matrix, obtained from the full finite element Nastran model. Grid deformation tools are used to take into account the displacements of the deformable surfaces of the structure. They are based either on structural analogy techniques developed by the DADS department, or on the combination of analytical and transfinite interpolation techniques developed by Airbus and Cerfacs. The various types of aeroelastic simulation may also be run in parallel mode.
Figure 2 displays the result of a three-dimensional Navier-Stokes static coupling simulation, in the case of an industrial wing / pylons / nacelles configuration . The aerodynamic structured grid is made of approximately 7 million nodes, distributed in 91 blocks. The computation was carried out in parallel on 15 processors of the CCRT HP cluster.


Fig. 2a: Wall pressures on  the wing/pylons/nacelles configuration


Fig. 2b: Corresponding static deformation 

Two-dimensional computations were also carried out in order to validate the dynamic coupling approach, in the case of the NLR7301 profile equipped with a two degrees of freedom structural model. Cases exhibiting limit cycle oscillations were experimentally highlighted at DLR on this profile. The prediction of this LCO phenomenon, here induced by the flow non-linearities, requires to compute the dynamic response on  a sufficiently long time interval - see Figure 3. The simulation presented here uses the  dual time-stepping technique, the multi-grid technique, and a "Backward-Euler" time scheme associated with an implicit Lussor phase.


Figure 3a: Structural model of the NLR7301 profile, used to validate the dynamic coupling 


Figure 3b: Computation of limit cycle oscillations for the NLR7301 profile, M=0.754

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Last Update: 25 February 2008 - © ONERA 2009 - Terms of use