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Newton-like minimal residual methods applied to transonic flow calculationsA computational technique for the solution of the full potential equation is presented. The method consists of outer and inner iterations. The outer iterate is based on a Newton like algorithm, and a preconditioned Minimal Residual method is used to seek an approximate solution of the system of linear equations arising at each inner iterate. The present iterative scheme is formulated so that the uncertainties and difficulties associated with many iterative techniques, namely the requirements of acceleration parameters and the treatment of additional boundary conditions for the intermediate variables, are eliminated. Numerical experiments based on the new method for transonic potential flows around the NACA 0012 airfoil at different Mach numbers and different angles of attack are presented, and these results are compared with those obtained by the Approximate Factorization technique. Extention to three dimensional flow calculations and application in finite element methods for fluid dynamics problems by the present method are also discussed. The Inexact Newton like method produces a smoother reduction in the residual norm, and the number of supersonic points and circulations are rapidly established as the number of iterations is increased.
Document ID
19850046930
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Wong, Y. S.
(NASA Langley Research Center Institute for Computer Applications in Science and Engineering, Hampton, VA; McGill University, Mont, Canada)
Date Acquired
August 12, 2013
Publication Date
April 1, 1985
Publication Information
Publication: AIAA Journal
Volume: 23
ISSN: 0001-1452
Subject Category
Numerical Analysis
Accession Number
85A29081
Funding Number(s)
CONTRACT_GRANT: NAS1-1581
CONTRACT_GRANT: NAS1-16394
Distribution Limits
Public
Copyright
Other

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