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An efficient algorithm for solution of the unsteady transonic small-disturbance equationA time accurate approximate factorization (AF) algorithm is formulated for solution of the three dimensional unsteady transonic small-disturbance equation. The AF algorithm consists of a time linearization procedure coupled with a Newton iteration technique. Superior stability characteristics of the new algorithm are demonstrated through applications to steady and oscillatory flows at subsonic and supersonic freestream conditions for an F-5 fighter wing. For steady flow calculations, the size of the time step is cycled to achieve rapid convergence. For unsteady flow calculations, the AF algorithm is sufficiently robust to allow the step size to be selected based on accuracy rather than on stability considerations. Therefore, accurate solutions are obtained in only several hundred time steps yielding a significant computational cost savings when compared to alternative methods.
Document ID
19870005743
Document Type
Conference Paper
Authors
Batina, John T. (NASA Langley Research Center Hampton, VA, United States)
Date Acquired
September 5, 2013
Publication Date
December 1, 1986
Subject Category
AERODYNAMICS
Report/Patent Number
AIAA PAPER 86-0109
NASA-TM-89014
NAS 1.15:89014
Funding Number(s)
PROJECT: RTOP 505-63-21-01
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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