Numerical simulation of a viscoelastic fluid with a preconditioned Schwarz method

Luís Borges, and Adélia Sequeira. "Numerical simulation of a viscoelastic fluid with a preconditioned Schwarz method." Banach Center Publications 81.1 (2008): 65-80. <http://eudml.org/doc/282186>.

@article{LuísBorges2008,
abstract = {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.},
author = {Luís Borges, Adélia Sequeira},
journal = {Banach Center Publications},
keywords = {Oldroyd-B model; finite elements; domain decomposition; fixed-point argument},
language = {eng},
number = {1},
pages = {65-80},
title = {Numerical simulation of a viscoelastic fluid with a preconditioned Schwarz method},
url = {http://eudml.org/doc/282186},
volume = {81},
year = {2008},
}

TY - JOUR
AU - Luís Borges
AU - Adélia Sequeira
TI - Numerical simulation of a viscoelastic fluid with a preconditioned Schwarz method
JO - Banach Center Publications
PY - 2008
VL - 81
IS - 1
SP - 65
EP - 80
AB - 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.
LA - eng
KW - Oldroyd-B model; finite elements; domain decomposition; fixed-point argument
UR - http://eudml.org/doc/282186
ER -