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Convergence acceleration for vector sequences and applications to computational fluid dynamicsSome recent developments in acceleration of convergence methods for vector sequences are reviewed. The methods considered are the minimal polynomial extrapolation, the reduced rank extrapolation, and the modified minimal polynomial extrapolation. The vector sequences to be accelerated are those that are obtained from the iterative solution of linear or nonlinear systems of equations. The convergence and stability properties of these methods as well as different ways of numerical implementation are discussed in detail. Based on the convergence and stability results, strategies that are useful in practical applications are suggested. Two applications to computational fluid mechanics involving the three dimensional Euler equations for ducted and external flows are considered. The numerical results demonstrate the usefulness of the methods in accelerating the convergence of the time marching techniques in the solution of steady state problems.
Document ID
19900032749
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Sidi, Avram
(NASA Lewis Research Center Cleveland, OH, United States)
Celestina, Mark L.
(NASA Lewis Research Center; Sverdrup Technology, Inc. Cleveland, OH, United States)
Date Acquired
August 14, 2013
Publication Date
January 1, 1990
Subject Category
Fluid Mechanics And Heat Transfer
Report/Patent Number
AIAA PAPER 90-0338
Accession Number
90A19804
Distribution Limits
Public
Copyright
Other

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