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Numerical solution of Euler equations for aerofoils in arbitrary unsteady motion

Lin, C. Q. (1994) Numerical solution of Euler equations for aerofoils in arbitrary unsteady motion. The Aeronautical Journal of the Royal Aeronautical Society. June/July 1994, Volume 98, Number 976., 98, pp. 207-214. Royal Aeronautical Society, 4 Hamilton Place, London W1V OBQ, England.

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Abstract

This paper is part of a DLR research programme to develop a three-dimensional Euler code for the calculation of unsteady flow fields around helicopter rotors in forward flight. The present research provides a code for the solution of Euler equations around aerofoils in arbitrary unsteady motion. The aerofoil is considered rigid in motion, and an 0-Grid system fixed to the moving aerofoil is generated once for all flow cases. Jameson's finite volume method using Runge-Kutta time stepping scheme to solve Euler equations for steady flow is extended to unsteady flow. The essential steps of this paper are the determination of inviscid governing equations in integral form for the control volume varying with time in general, and its application to the case in which the control volume is rigid in motion. The implementation of an implicit residual averaging with variable coefficients allows the CFL number to be increased to about 60. The general description of the code, which includes the discussion of grid system, grid fineness, farfield distance, artificial dissipation, and CFL number, is given. Code validation is investigated by comparing results with those of other numerical methods, as well as with experimental results of an ONERA two-blade rotor in non-lifting flight. Some numerical examples other than periodic motion, such as angle-of-attack variation, Mach number variation, and development of pitching oscillation from steady state, are given in this paper.

Document Type:Article
Additional Information: institution=Royal Aeronautical Society, LIDO-Berichtsjahr=1994, pages=8,
Title:Numerical solution of Euler equations for aerofoils in arbitrary unsteady motion
Authors:
AuthorsInstitution or Email of Authors
Lin, C. Q. UNSPECIFIED
Date:1994
Journal or Publication Title:The Aeronautical Journal of the Royal Aeronautical Society. June/July 1994, Volume 98, Number 976.
Refereed publication:Yes
In ISI Web of Science:Yes
Volume:98
Page Range:pp. 207-214
Publisher:Royal Aeronautical Society, 4 Hamilton Place, London W1V OBQ, England
Series Name:976
Status:Published
Keywords:Instationaere -Stroemungen, zweidimensionale Euler-Gleichungen, bewegtes Koordinatensystem, oszillierendes Profil
HGF - Research field:UNSPECIFIED
HGF - Program:Aeronautics
HGF - Program Themes:other
DLR - Research area:UNSPECIFIED
DLR - Program:L DT - Drehflüglertechnologien
DLR - Research theme (Project):L - The Quiet and Comfortable Rotorcraft
Location: Köln-Porz , Braunschweig , Göttingen
Institutes and Institutions:Institute of Aerodynamics and Flow Technology > Institut für Entwurfsaerodynamik
Deposited By: elib DLR-Beauftragter
Deposited On:03 Apr 2006
Last Modified:23 Feb 2010 15:52

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