TY - JOUR
T1 - Comparison of Different Formulations for the Numerical Calculation of Unsteady Incompressible Viscoelastic Fluid Flow
AU - Amoreira , L. J.
AU - Oliveira , P. J.
JO - Advances in Applied Mathematics and Mechanics
VL - 4
SP - 483
EP - 502
PY - 2010
DA - 2010/02
SN - 2
DO - http://doi.org/10.4208/aamm.10-m1010
UR - https://global-sci.org/intro/article_detail/aamm/8342.html
KW - 
AB - <p style="text-align: justify;">In this paper we compare different methods currently used in the 
stabilization of numerical simulations of time-dependent
viscoelastic fluid flows described with the Oldroyd-B and related
models. The methods under consideration, based on the separation of
newtonian-like components from the stress tensor, are applied to a
finite volume analysis of two simple benchmark problems (the plane
Poiseuille startup and pulsated flows), for which analytical
solutions are known. The relative performances of each method are
evaluated regarding stability, accuracy and efficiency.</p>