A finite volume technique has been introduced in an attempt to simulate a v
iscoelastic flow. The steady flow of a White-Metzner fluid through a 4:1 ab
rupt contraction has been chosen as a prototype example because of the exis
tence of previous simulations in the literature. The finite volume method (
FVM) is used to discretize the conservation and constitute equations with a
Hybrid scheme with appropriate treatment of source terms. The FVM is prove
n to be quite capable of handling numerically viscoelastic models with low
computational cost. Its use is recommended as a viable alternative to the s
olution of viscoelastic problems using a variety of constitutive models. Co
pyright (C) 2001 John Wiley & Sons, Ltd.