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Linear Frequency Domain and Harmonic Balance Predictions of Dynamic Derivatives

Da Roch, Andrea and McCracken, Andrew J. and Badcock, Ken J. and Widhalm, Markus and Campobasso, Sergio (2013) Linear Frequency Domain and Harmonic Balance Predictions of Dynamic Derivatives. Journal of Aircraft, 50 (3), pp. 694-707. American Institute of Aeronautics and Astronautics (AIAA). DOI: 10.2514/1.C031674 ISSN 0021-8669

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Official URL: http://arc.aiaa.org/doi/abs/10.2514/1.C031674

Abstract

Dynamic derivatives are used to represent the influence of the aircraft motion rates on the aerodynamic forces and moments needed for studies of flight dynamics. The use of computational fluid dynamics has potential to supplement costly wind-tunnel testing. The paper considers the problem of the fast computation of forced periodic motions using the Euler equations. Three methods are evaluated. The first is computation in the time domain, which provides the benchmark solution in the sense that the time-accurate solution is obtained. Two acceleration techniques in the frequency domain are compared. The first uses a harmonic solution of the linearized problem, referred to as the linear frequency-domain approach. The second uses the harmonic balance method, which approximates the nonlinear problem using a number of Fourier modes. These approaches are compared for the ability to predict dynamic derivatives and for computational cost. The NACA 0012 aerofoil and the DLR-F12 passenger jet wind-tunnel model are the test cases. Compared to time-domain simulations, an order of magnitude reduction in computational costs is achieved and satisfactory predictions are obtained for cases with a narrow frequency spectrum and moderate amplitudes using the frequency-domain methods.

Item URL in elib:https://elib.dlr.de/96154/
Document Type:Article
Title:Linear Frequency Domain and Harmonic Balance Predictions of Dynamic Derivatives
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Da Roch, AndreaSchool of Engineering, University of LiverpoolUNSPECIFIED
McCracken, Andrew J.School of Engineering, University of LiverpoolUNSPECIFIED
Badcock, Ken J.School of Engineering, University of LiverpoolUNSPECIFIED
Widhalm, MarkusMarkus.Widhalm (at) dlr.deUNSPECIFIED
Campobasso, SergioSchool of Engineering, Glasgow UniversityUNSPECIFIED
Date:May 2013
Journal or Publication Title:Journal of Aircraft
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In SCOPUS:Yes
In ISI Web of Science:Yes
Volume:50
DOI :10.2514/1.C031674
Page Range:pp. 694-707
Publisher:American Institute of Aeronautics and Astronautics (AIAA)
ISSN:0021-8669
Status:Published
Keywords:Computational Fluid Dynamics, Linear methods, Dynamic Derivatives
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Aeronautics
HGF - Program Themes:fixed-wing aircraft
DLR - Research area:Aeronautics
DLR - Program:L AR - Aircraft Research
DLR - Research theme (Project):L - Simulation and Validation
Location: Braunschweig
Institutes and Institutions:Institute of Aerodynamics and Flow Technology > C²A²S²E - Center for Computer Applications in AeroSpace Science and Engineering
Deposited By: Widhalm, Markus
Deposited On:04 May 2015 14:49
Last Modified:08 Mar 2018 18:41

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