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Numerical approximation of corotational dumbbell models for dilute polymers

Abstract:

We construct a general family of Galerkin methods for the numerical approximation of weak solutions to a bead-spring model that arises from the kinetic theory of dilute solutions of polymeric liquids with noninteracting polymer chains. The model consists of the unsteady incompressible Navier-Stokes equations, for the velocity and the pressure of the fluid, with an elastic extra-stress tensor as right-hand side in the momentum equation. The extra-stress tensor stems from the random movement of...

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Publication status:
Published

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Publisher copy:
10.1093/imanum/drn022

Authors


Journal:
IMA JOURNAL OF NUMERICAL ANALYSIS
Volume:
29
Issue:
4
Pages:
937-959
Publication date:
2009-10-05
DOI:
EISSN:
1464-3642
ISSN:
0272-4979
URN:
uuid:e3828089-9bf5-4ba7-8987-9023a583dfd9
Source identifiers:
188379
Local pid:
pubs:188379

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