In this paper we apply a domain decomposition method to approach the solution of a non-Newtonian viscoelastic Oldroyd-B model. The numerical scheme is based on a fixed-point argument applied to the original non-linear system of partial differential equations decoupled into a Navier-Stokes system and a tensorial transport equation. Using a modified Schwarz algorithm, involving block preconditioners for the Navier-Stokes equations, the decoupled problems are solved iteratively. Numerical simulations on a 4:1 abrupt contraction flow problem are considered to validate the scheme.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc81-0-4,
author = {Lu\'\i s Borges and Ad\'elia Sequeira},
title = {Numerical simulation of a viscoelastic fluid with a preconditioned Schwarz method},
journal = {Banach Center Publications},
volume = {83},
year = {2008},
pages = {65-80},
zbl = {1148.76030},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc81-0-4}
}
Luís Borges; Adélia Sequeira. Numerical simulation of a viscoelastic fluid with a preconditioned Schwarz method. Banach Center Publications, Tome 83 (2008) pp. 65-80. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc81-0-4/