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A hybrid high-order method for creeping flows of non-Newtonian fluids.
- Source :
-
ESAIM: Mathematical Modelling & Numerical Analysis (ESAIM: M2AN) . Sep/Oct2021, Vol. 55 Issue 5, p2045-2073. 29p. - Publication Year :
- 2021
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 28227840
- Volume :
- 55
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- ESAIM: Mathematical Modelling & Numerical Analysis (ESAIM: M2AN)
- Publication Type :
- Academic Journal
- Accession number :
- 153846196
- Full Text :
- https://doi.org/10.1051/m2an/2021051