4.4 Article

The flow of viscoelastic fluids past a cylinder: finite-volume high-resolution methods

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JOURNAL OF NON-NEWTONIAN FLUID MECHANICS
卷 97, 期 2-3, 页码 207-232

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ELSEVIER SCIENCE BV
DOI: 10.1016/S0377-0257(00)00198-1

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finite-volume; high-resolution; cylinder; viscoelastic; MINMOD; SMART

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Accurate solutions are obtained with the numerical method of Oliveira et al. [J. Non-Newtonian Fluid Mech. 79 (1998) 1] for the inertialess plane flow around a confined cylinder. This numerical procedure is based on the finite-volume method in non-orthogonal block-structured meshes with a collocated arrangement of the dependent variables, and makes use of a special interpolation practice to avoid stress-velocity decoupling. Two high-resolution schemes (MINMOD and SMART) are implemented to represent the convective terms in the constitutive equations for the upper convected Maxwell and Oldroyd-B fluids, and the resulting predictions of the drag coefficient on the cylinder are shown to be as accurate as existing finite-element method predictions based on the supposedly very accurate h-p refinement technique. Numerical uncertainties are quantified with help of Richardson' s extrapolation technique and the orders of convergence of the differencing schemes are established and shown to be second-order accurate. Calculations performed with a wake-refined mesh predicted the variation of the maximum longitudinal normal stress in the wake as De(3) and De(5) depending on Deborah number. (C) 2001 Elsevier Science B.V. All rights reserved.

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