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Acceleration of convergence by shifting the spectrum of implicit finite difference operators associated with the equations of gas dynamicsEigensystem analysis techniques are applied to finite difference formulations of the Navier-Stokes equations in one dimension. Spectra of the resulting implicit difference operators are computed. The largest eigenvalues are calculated by using a combination of the Frechet derivative of the operators and Arnoldi's method. The accuracy of Arnoldi's method is tested by comparing the rate of convergence of the iterative method with the dominant eigenvalue of the original iteration matrix. On the basis of the pattern of eigenvalue distributions for various flow configurations, a shifting of the implicit operators in question is devised. This procedure has improved the rates of convergence of CFD codes by 20 - 50 percent.
Document ID
19910044392
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Cheer, A.
(California, University Davis, United States)
Saleem, M.
(Missouri, University Saint Louis, United States)
Date Acquired
August 14, 2013
Publication Date
March 1, 1991
Publication Information
Publication: International Journal for Numerical Methods in Fluids
Volume: 12
ISSN: 0271-2091
Subject Category
Fluid Mechanics And Heat Transfer
Accession Number
91A29015
Funding Number(s)
CONTRACT_GRANT: NCA2-172
Distribution Limits
Public
Copyright
Other

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