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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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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-02519233
Contributor : André Harnist Connect in order to contact the contributor
Submitted on : Sunday, January 9, 2022 - 4:15:33 PM
Last modification on : Wednesday, January 12, 2022 - 3:46:01 AM

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  • HAL Id : hal-02519233, version 2

Citation

Michele Botti, Daniel Castanon Quiroz, Daniele Antonio Di Pietro, André Harnist. A Hybrid High-Order method for creeping flows of non-Newtonian fluids. 2022. ⟨hal-02519233v2⟩

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