A Hybrid High-Order method for creeping flows of non-Newtonian fluids - Archive ouverte HAL Access content directly
Journal Articles ESAIM: Mathematical Modelling and Numerical Analysis Year : 2021

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

(1) , (2) , (2) , (2)
1
2

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.
Fichier principal
Vignette du fichier
pstokes.pdf (575.03 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-02519233 , version 1 (25-03-2020)
hal-02519233 , version 2 (09-01-2022)

Identifiers

Cite

Michele Botti, Daniel Castanon Quiroz, Daniele Antonio Di Pietro, André Harnist. A Hybrid High-Order method for creeping flows of non-Newtonian fluids. ESAIM: Mathematical Modelling and Numerical Analysis, 2021, 55 (5), pp.2045-2073. ⟨10.1051/m2an/2021051⟩. ⟨hal-02519233v2⟩
264 View
188 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More