IMPLEMENTATION OF HIGH-RESOLUTION SCHEMES IN FINITE-VOLUME METHODS FOR STEADY VISCOELASTIC FLOWS

The MINMOD high-resolution convective scheme was implemented in a finite-volume code operating in a general curvilinear co-ordinate system by adopting the normalised variable and space formulation of Darwish and Moukalled [1]. Predictions of the flow of UCM fluids in the 4:1 plane contraction and around a planar cylinder in a channel were used to assess the improvements in accuracy and stability of the scheme. For the contraction flow the asymptotic results for the velocity and stresses near the re-entrant corner are found to be in good agreement with Hinch’s analysis [2] and the drag forces on the cylinder are in excellent agreement with those of Fan et al [3]