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Linear Frequency Domain Prediction of Dynamic Response Data for Viscous Transonic Flows

Thormann, Reik and Widhalm, Markus (2013) Linear Frequency Domain Prediction of Dynamic Response Data for Viscous Transonic Flows. AIAA Journal, 51 (11), pp. 2540-2557. American Institute of Aeronautics and Astronautics (AIAA). DOI: 10.2514/1.J051896 ISSN 0001-1452

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Official URL: http://arc.aiaa.org/doi/abs/10.2514/1.J051896

Abstract

Determining the flutter boundaries for full aircraft configurations by time-accurately solving the Reynolds-averaged Navier-Stokes (RANS) equations is prohibitive with respect to computational expense, as the unsteady aerodynamic loading must be predicted for a wide range of flight conditions, frequencies, and structural mode shapes. Nonetheless, there is increasing demand to accurately predict flutter boundaries in the viscous transonic regime - a demand which until recently could only be satisfied by high-fidelity RANS methods. Brought to application readiness over the last years time-linearized/small disturbance methods, however, have been shown to satisfy this demand as well. They retain the RANS methods fidelity to a high degree, at substantially reduced computational expense. Such a method is presented here on basis of the TAU-RANS method. Denoted as the TAU linear frequency domain (LFD) method, it is validated for both a standard transonic airfoil and a high-aspect-ratio wing dynamic test case using rigid pitch modes. The response data obtained from the LFD is in good agreement with the experiment for a 2D case. For the 3D case there are larger differences. More important, the LFD method is in excellent agreement to time-accurate RANS simulations. Depending on the LFD-employed solution scheme, reductions in computational costs well beyond an order of magnitude are obtained. In addition, the Determining the flutter boundaries for full aircraft configurations by time-accurately solving the Reynolds-averaged Navier-Stokes (RANS) equations is prohibitive with respect to computational expense, as the unsteady aerodynamic loading must be predicted for a wide range of flight conditions, frequencies, and structural mode shapes. Nonetheless, there is increasing demand to accurately predict flutter boundaries in the viscous transonic regime - a demand which until recently could only be satisfied by high-fidelity RANS methods. Brought to application readiness over the last years time-linearized/small disturbance methods, however, have been shown to satisfy this demand as well. They retain the RANS methods fidelity to a high degree, at substantially reduced computational expense. Such a method is presented here on basis of the TAU-RANS method. Denoted as the TAU linear frequency domain (LFD) method, it is validated for both a standard transonic airfoil and a high-aspect-ratio wing dynamic test case using rigid pitch modes. The response data obtained from the LFD is in good agreement with the experiment for a 2D case. For the 3D case there are larger differences. More important, the LFD method is in excellent agreement to time-accurate RANS simulations. Depending on the LFD-employed solution scheme, reductions in computational costs well beyond an order of magnitude are obtained. In addition, the limits of the so-called frozen eddy viscosity approach are established.

Item URL in elib:https://elib.dlr.de/84359/
Document Type:Article
Title:Linear Frequency Domain Prediction of Dynamic Response Data for Viscous Transonic Flows
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Thormann, Reikreik.thormann (at) dlr.deUNSPECIFIED
Widhalm, MarkusMarkus.Widhalm (at) dlr.deUNSPECIFIED
Date:18 September 2013
Journal or Publication Title:AIAA Journal
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In SCOPUS:Yes
In ISI Web of Science:Yes
Volume:51
DOI :10.2514/1.J051896
Page Range:pp. 2540-2557
Editors:
EditorsEmail
Friedmann, Peretz P.UNSPECIFIED
Publisher:American Institute of Aeronautics and Astronautics (AIAA)
ISSN:0001-1452
Status:Published
Keywords:LFD, Frozen Eddy Viscosity, Forced Motion, URANS
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Aeronautics
HGF - Program Themes:Aircraft Research (old)
DLR - Research area:Aeronautics
DLR - Program:L AR - Aircraft Research
DLR - Research theme (Project):L - Simulation & Validation (old)
Location: Braunschweig , Göttingen
Institutes and Institutions:Institute of Aeroelasticity > Aeroelastic Simulations
Institute of Aerodynamics and Flow Technology > C²A²S²E - Center for Computer Applications in AeroSpace Science and Engineering
Deposited By: Thormann, Reik
Deposited On:25 Sep 2013 14:03
Last Modified:08 Mar 2018 18:42

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