A sharp-interface Cartesian grid method for viscoelastic fluid flow in complex geometry

Wei Yi, Daniel Corbett, Xue-Feng Yuan

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    Abstract

    Computational method on Cartesian mesh is popular in simulating fluid flow with moving boundaries of complex geometry. In this paper, a sharp-interface Cartesian grid method is proposed for the simulation of viscoelastic fluid flow. We implement a finite volume numerical scheme with an improved Rhie-Chow interpolation on the open-source platform OpenFOAM. The order of accuracy in space is shown to be second-order for Newtonian fluid flow and first-order for Oldroyd-B fluid flow. The correctness of our code is validated with the benchmark case of flow past a cylinder. The new sharp-interface Cartesian grid method is verified to correctly predict the viscoelastic stress on the surface of the cylinder. Simulation results of confined Oldroyd-B fluid flow past a pair of cylinders are also reported. A comparison between the proposed sharp-interface Cartesian grid method and a smoothed-interface immersed boundary method is carried out in terms of accuracy and efficiency at the end of this study.
    Original languageEnglish
    Pages (from-to)82-104
    Number of pages23
    JournalJournal of Non-Newtonian Fluid Mechanics
    Volume234
    Early online date30 Apr 2016
    DOIs
    Publication statusPublished - Aug 2016

    Keywords

    • sharp interface
    • local reconstruction
    • OpenFOAM
    • viscoelastic fluid flow

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