NDLI: Development and applications of algorithms for calculating the transonic flow about harmonically oscillating wings

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Development and applications of algorithms for calculating the transonic flow about harmonically oscillating wings

Content Provider	NASA Technical Reports Server (NTRS)
Author	Yip, E. L. Weatherill, W. H. Ehlers, F. E.
Copyright Year	1984
Description	A finite difference method to solve the unsteady transonic flow about harmonically oscillating wings was investigated. The procedure is based on separating the velocity potential into steady and unsteady parts and linearizing the resulting unsteady differential equation for small disturbances. The differential equation for the unsteady velocity potential is linear with spatially varying coefficients and with the time variable eliminated by assuming harmonic motion. An alternating direction implicit procedure was investigated, and a pilot program was developed for both two and three dimensional wings. This program provides a relatively efficient relaxation solution without previously encountered solution instability problems. Pressure distributions for two rectangular wings are calculated. Conjugate gradient techniques were developed for the asymmetric, indefinite problem. The conjugate gradient procedure is evaluated for applications to the unsteady transonic problem. Different equations for the alternating direction procedure are derived using a coordinate transformation for swept and tapered wing planforms. Pressure distributions for swept, untaped wings of vanishing thickness are correlated with linear results for sweep angles up to 45 degrees.
File Size	4573077
Page Count	156
File Format	PDF
Alternate Webpage(s)	http://archive.org/details/NASA_NTRS_Archive_19850001700
Archival Resource Key	ark:/13960/t7wm64651
Language	English
Publisher Date	1984-10-01
Access Restriction	Open
Subject Keyword	Aerodynamics Oscillating Flow Transonic Flow Algorithms Computation Finite Difference Theory Flow Distribution Airfoils Wing Profiles Unsteady Flow Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aircraft Aerospace Engineering Aerospace Aeronautic Space Science
Content Type	Text
Resource Type	Technical Report

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