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A Nonlinear Frequency Domain Aerodynamic Model for Continuous Turbulence Encounter based on Functional Series Expansion

Quero, David and Krüger, Wolf (2017) A Nonlinear Frequency Domain Aerodynamic Model for Continuous Turbulence Encounter based on Functional Series Expansion. In: IFASD 2017 - International Forum on Aeroelasticity and Structural Dynamics. IFASD 2017 - International Forum on Aeroelasticity and Structural Dynamics, 25.-28. Jun. 2017, Como, Italien. ISBN 978-88-97576-28-0

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Abstract

In this paper a nonlinear Reduced Order Model (ROM) for a frequency domain aerodynamic model based on functional or Volterra series expansion is presented. It relies on the numerical identification of the higher order Volterra Kernels by a continuous time impulse method and the transformation into the frequency domain with multidimensional Fourier transforms. This frequency domain ROM allows the nonlinear computation of the output power spectra as function of the input power spectra, showing an independence on the randomness of the phase for Gaussian stationary processes. Gust and continuous turbulence encounters are considered for a rigid wing empennage configuration flying in the transonic regime. Results obtained with the nonlinear frequency domain ROM are compared against CFD Euler computations for a discrete gust case showing a very good agreement. For continuous turbulence encounters the influence of the nonlinearity in the root mean square of the output when increasing the turbulence intensity is considered, showing a cubic dependency with the root mean square value of the turbulence for a second order Volterra series expansion. Additionally, convergence issues experienced by full-order CFD simulations when the turbulence intensity is increased are pointed out.

Item URL in elib:https://elib.dlr.de/113784/
Document Type:Conference or Workshop Item (Speech)
Title:A Nonlinear Frequency Domain Aerodynamic Model for Continuous Turbulence Encounter based on Functional Series Expansion
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Quero, Daviddavid.queromartin (at) dlr.deUNSPECIFIED
Krüger, WolfUNSPECIFIEDUNSPECIFIED
Date:June 2017
Journal or Publication Title:IFASD 2017 - International Forum on Aeroelasticity and Structural Dynamics
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
ISBN:978-88-97576-28-0
Status:Published
Keywords:ROM, Volterra series, gust encounter, continuous turbulence
Event Title:IFASD 2017 - International Forum on Aeroelasticity and Structural Dynamics
Event Location:Como, Italien
Event Type:international Conference
Event Dates:25.-28. Jun. 2017
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 - Flight Physics
Location: Göttingen
Institutes and Institutions:Institute of Aeroelasticity
Deposited By: Quero-Martin, David
Deposited On:25 Aug 2017 14:51
Last Modified:09 Feb 2018 11:13

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