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numerical solution of euler's equation by perturbed functionalsA perturbed functional iteration has been developed to solve nonlinear systems. It adds at each iteration level, unique perturbation parameters to nonlinear Gauss-Seidel iterates which enhances its convergence properties. As convergence is approached these parameters are damped out. Local linearization along the diagonal has been used to compute these parameters. The method requires no computation of Jacobian or factorization of matrices. Analysis of convergence depends on properties of certain contraction-type mappings, known as D-mappings. In this article, application of this method to solve an implicit finite difference approximation of Euler's equation is studied. Some representative results for the well known shock tube problem and compressible flows in a nozzle are given.
Document ID
19850066056
Document Type
Conference Paper
Authors
Dey, S. K.
(NASA Ames Research Center Moffett Field, CA, United States)
Date Acquired
August 12, 2013
Publication Date
January 1, 1985
Subject Category
NUMERICAL ANALYSIS
Meeting Information
Large-scale computations in fluid mechanics(La Jolla, CA)
Distribution Limits
Public
Copyright
Other