Numerical simulation of a viscoelastic fluid with a preconditioned Schwarz method
Volume 81 / 2008
Banach Center Publications 81 (2008), 65-80
MSC: Primary 46C20; Secondary 32G81.
DOI: 10.4064/bc81-0-4
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.
