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Relaxation methods for unfactored implicit upwind schemesRelaxation methods are presented for unfactored implicit upwind schemes for hyperbolic equations. The theoretical bases are explained using linear and nonlinear scalar equations; construction of the method for the unsteady Euler equations (nonlinear system) is but a natural extension. One of the important advantages of the above methods vis a vis factored implicit schemes is the possibility of faster convergence to steady state, as illustrated by the results. Several classes of relaxation schemes such as pointwise, linewise, Gauss-Seidel, and non-Gauss-Seidel methods are discussed, along with various strategies for convergence.
Document ID
19840036452
Document Type
Conference Paper
Authors
Chakravarthy, S. R.
(Rockwell International Science Center Thousand Oaks, CA, United States)
Date Acquired
August 12, 2013
Publication Date
January 1, 1984
Subject Category
Numerical Analysis
Report/Patent Number
AIAA PAPER 84-0165
Funding Number(s)
CONTRACT_GRANT: NAS1-17492
Distribution Limits
Public
Copyright
Other
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