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A hybrid finite volume/finite element method for incompressible generalized Newtonian fluid flows on unstructured triangular meshes

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Abstract

This paper presents a hybrid finite volume/finite element method for the incompressible generalized Newtonian fluid flow (Power-Law model). The collocated (i.e. non-staggered) arrangement of variables is used on the unstructured triangular grids, and a fractional step projection method is applied for the velocity-pressure coupling. The cell-centered finite volume method is employed to discretize the momentum equation and the vertex-based finite element for the pressure Poisson equation. The momentum interpolation method is used to suppress unphysical pressure wiggles. Numerical experiments demonstrate that the current hybrid scheme has second order accuracy in both space and time. Results on flows in the lid-driven cavity and between parallel walls for Newtonian and Power-Law models are also in good agreement with the published solutions.

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Authors and Affiliations

  1. Department of Mathematics, University of Science and Technology of China, 230026, Hefei, China

    Wei Gao & Ruxun Liu

  2. School of Mathematical Sciences, Inner Mongolia University, 010021, Hohhot, China

    Wei Gao

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  1. Wei Gao
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  2. Ruxun Liu
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Correspondence to Wei Gao.

Additional information

The project supported by the National Natural Science Foundation of China (10771134).

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Gao, W., Liu, R. A hybrid finite volume/finite element method for incompressible generalized Newtonian fluid flows on unstructured triangular meshes. Acta Mech Sin 25, 747–760 (2009). https://doi.org/10.1007/s10409-009-0281-3

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  • DOI: https://doi.org/10.1007/s10409-009-0281-3

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