Frequency-Domain Gust Response Simulation using Computational Fluid Dynamics

Bekemeyer, P, Thormann, R and Timme, S (2017) Frequency-Domain Gust Response Simulation using Computational Fluid Dynamics. AIAA Journal: devoted to aerospace research and development, 55 (7). pp. 2174-2185.

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Abstract

The numerical investigation of dynamic responses to atmospheric turbulence is an important task during the aircraft design and certification process. Efficient methods are desirable because large parameter spaces spanned by, for example, Mach number, flight altitude, load case, and gust shape need to be covered. Aerodynamic nonlinearities such as shocks and boundary-layer separation should be included to account for transonic flight conditions. A linearized frequency-domain method is outlined to efficiently obtain gust responses using computational fluid dynamics. The Reynolds-averaged Navier–Stokes equations are linearized around a steady-state solution and solved for discrete frequencies. The resulting large but sparse system of linear equations can then be evaluated significantly faster than its time-domain counterpart. The method is verified analyzing sinusoidal gust responses for an airfoil and a large civil aircraft considering a broad range of reduced frequencies. Derivatives of aerodynamic coefficients and complex-valued surface pressures are compared for time- and frequency-domain approaches. Next, 1-cos gusts are investigated using an incomplete inverse Fourier transform in conjunction with a complex-valued weighting function to discuss time histories of lift coefficients as well as surface pressures. Finally, introduced techniques are applied to conditions arising from certification requirements to demonstrate the technical readiness. The methods discussed present an important step to establish computational fluid dynamics in the routine aircraft loads process.

Item Type:	Article
Uncontrolled Keywords:	4012 Fluid Mechanics and Thermal Engineering, 40 Engineering, 4001 Aerospace Engineering
Depositing User:	Symplectic Admin
Date Deposited:	09 Mar 2017 11:14
Last Modified:	21 Jun 2024 05:00
DOI:	10.2514/1.J055373
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3006285

Available Versions of this Item

• Frequency-Domain Gust Response Simulation using Computational Fluid Dynamics. (deposited 09 Mar 2017 11:04)
  • Frequency-Domain Gust Response Simulation using Computational Fluid Dynamics. (deposited 09 Mar 2017 11:14) [Currently Displayed]