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Newton's method applied to finite-difference approximations for the steady-state compressible Navier-Stokes equationsFinite-difference approximations for steady-state compressible Navier-Stokes equations, whose two spatial dimensions are written in generalized curvilinear coordinates and strong conservation-law form, are presently solved by means of Newton's method in order to obtain a lifting-airfoil flow field under subsonic and transonnic conditions. In addition to ascertaining the computational requirements of an initial guess ensuring convergence and the degree of computational efficiency obtainable via the approximate Newton method's freezing of the Jacobian matrices, attention is given to the need for auxiliary methods assessing the temporal stability of steady-state solutions. It is demonstrated that nonunique solutions of the finite-difference equations are obtainable by Newton's method in conjunction with a continuation method.
Document ID
19910045398
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Bailey, Harry E.
(NASA Ames Research Center Moffett Field, CA, United States)
Beam, Richard M.
(NASA Ames Research Center Moffett Field, CA, United States)
Date Acquired
August 14, 2013
Publication Date
March 1, 1991
Publication Information
Publication: Journal of Computational Physics
Volume: 93
ISSN: 0021-9991
Subject Category
Aerodynamics
Accession Number
91A30021
Distribution Limits
Public
Copyright
Other

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