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Steady Bingham fluid flow in cylindrical pipes: a time dependent approach to the iterative solution
Author(s) -
He J. W.,
Glowinski R.
Publication year - 2000
Publication title -
numerical linear algebra with applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.02
H-Index - 53
eISSN - 1099-1506
pISSN - 1070-5325
DOI - 10.1002/1099-1506(200009)7:6<381::aid-nla203>3.0.co;2-w
Subject(s) - mathematics , backward euler method , convergence (economics) , regularization (linguistics) , bingham plastic , euler's formula , flow (mathematics) , iterative method , type (biology) , mathematical optimization , dual (grammatical number) , mathematical analysis , euler equations , computer science , geometry , rheology , art , ecology , materials science , literature , artificial intelligence , economics , composite material , biology , economic growth
The main goal of this article is to discuss a novel iterative method for the numerical simulation of a steady Bingham fluid flow in a cylindrical pipe. The method is of the primal‐dual type and can be interpreted as an implicit scheme of backward Euler type, applied to a well chosen time dependent variant of the problem under consideration. A key ingredient of the algorithm is a kind of dynamical Tychonoff regularization of the fixed point relation verified by the dual solution. After proving the convergence of the method, we apply it to the solution of test problems and verify its anticipated good convergence properties. Copyright © 2000 John Wiley & Sons, Ltd.