A Hybrid High-Order method for creeping flows of non-Newtonian fluids
Numerical Analysis
2022-01-11 v2 Numerical Analysis
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 scalar Leray-Lions 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.
Keywords
Cite
@article{arxiv.2003.13467,
title = {A Hybrid High-Order method for creeping flows of non-Newtonian fluids},
author = {Michele Botti and Daniel Castanon Quiroz and Daniele A. Di Pietro and André Harnist},
journal= {arXiv preprint arXiv:2003.13467},
year = {2022}
}
Comments
28 pages, 4 figures