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Asymptotic analysis of flow in wavy tubes and simulation of the extrusion process
Author(s) -
Ainser A.,
Dupuy D.,
Panasenko G. P.,
Sirakov I.
Publication year - 2007
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.814
Subject(s) - computation , extrusion , plastics extrusion , process (computing) , domain decomposition methods , mathematics , domain (mathematical analysis) , flow (mathematics) , newtonian fluid , algorithm , mechanics , computer science , mathematical analysis , geometry , finite element method , materials science , physics , thermodynamics , metallurgy , composite material , operating system
The paper is devoted to the mathematical modelling of an extrusion process. Usually, an extruder has a very complicated geometry. This generates a lot of difficulties for computations of three‐dimensional flows. In the present paper, we develop and justify the asymptotic domain decomposition strategy in order to parallelize the computational process and reduce the memory. The error estimates are proved for the Stokes steady‐state equation in the two‐dimensional and three‐dimensional cases. Then, the asymptotic domain decomposition procedure is applied for numerical testing and computations of the non‐Newtonian fluid simulating a real process of the polymer extrusion. Copyright © 2007 John Wiley & Sons, Ltd.