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A Hybrid High-Order method for creeping flows of non-Newtonian fluids

Abstract : In this paper, we design and analyze a Hybrid High-Order discretization method for the steady motion of non-Newtonian, incompressible fluids in the Stokes approximation of small velocities. The proposed method has several appealing features including the support of general meshes and high-order, unconditional inf-sup stability, and orders of convergence that match those obtained for Leray-Lions scalar problems. A complete well-posedness and convergence analysis of the method is carried out under new, general assumptions on the strain rate-shear stress law, which encompass several common examples such as the power-law and Carreau-Yasuda models. Numerical examples complete the exposition.
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https://hal.archives-ouvertes.fr/hal-02519233
Contributor : André Harnist <>
Submitted on : Wednesday, March 25, 2020 - 7:07:10 PM
Last modification on : Friday, March 27, 2020 - 1:59:00 AM

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  • HAL Id : hal-02519233, version 1

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Michele Botti, Daniel Castanon Quiroz, Daniele Antonio Di Pietro, André Harnist. A Hybrid High-Order method for creeping flows of non-Newtonian fluids. 2020. ⟨hal-02519233⟩

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