Abstract
AbstractThe interpolation requirements for the loosely coupled finite element solution of the Navier–Stokes equations and Phillips shear‐induced particle diffusion model are discussed. It is shown that a second‐order approximation of the fluid velocity field is required to adequately capture the spatial derivatives of the rate‐of‐strain tensor. To circumvent this limitation, a shear‐rate smoothing procedure is introduced, thereby allowing the use of lower‐order approximations for the fluid phase. Numerical experiments comparing the convergence and CPU cost of the different tetrahedral interpolation bases are presented. Copyright © 2009 John Wiley & Sons, Ltd.
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