Abstract

A finite-difference formation is employed to study the use of integral rheological models in the numerical simulation of complex flows. A contra-variant Maxwell model is used in the study. In the method, the physical variables are determined numerically at grid points and no interpolation procedure is required. The equations for the displacement functions are solved using a Lax−Wendroff scheme and the complete set of governing equations is solved iteratively using preconditioned conjugate gradient methods. The numerical data obtained for the integral model are in good agreement with existing results for the corresponding differential model.

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