A hybrid high-order method for a class of quasi-Newtonian Stokes equations on general meshes

2020 ◽  
Vol 366 ◽  
pp. 124741
Author(s):  
Yongchao Zhang ◽  
Liquan Mei
Keyword(s):  
Stokes Equations ◽  
High Order ◽  
Order Method ◽  
High Order Method ◽  
General Meshes

scholarly journals A Nonconforming High-Order Method for the Biot Problem on General Meshes

2016 ◽  
Vol 38 (3) ◽  
pp. A1508-A1537 ◽  
Author(s):  
Daniele Boffi ◽  
Michele Botti ◽  
Daniele A. Di Pietro
Keyword(s):  
High Order ◽  
Order Method ◽  
High Order Method ◽  
General Meshes

scholarly journals A Hybrid High-Order method for Leray–Lions elliptic equations on general meshes

2016 ◽  
Vol 86 (307) ◽  
pp. 2159-2191 ◽  
Author(s):  
Daniele A. Di Pietro ◽  
Jérôme Droniou
Keyword(s):  
Elliptic Equations ◽  
High Order ◽  
Order Method ◽  
High Order Method ◽  
General Meshes

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

2021 ◽  
Author(s):  
Michele Botti ◽  
Daniel Castanon Quiroz ◽  
Daniele Di Pietro ◽  
André Harnist
Keyword(s):  
Steady Motion ◽  
Incompressible Fluids ◽  
High Order ◽  
Well Posedness ◽  
Discretization Method ◽  
Order Method ◽  
Numerical Examples ◽  
High Order Method ◽  
Creeping Flows ◽  
General Meshes

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.

Theoretical Aspects of a Multidomain High-Order Method for CAA

2003 ◽  
Author(s):  
Ronan Guenanff ◽  
Pierre Sagaut ◽  
Eric Manoha ◽  
Marc Terracol ◽  
Roger Lewandowsky
Keyword(s):  
High Order ◽  
Order Method ◽  
High Order Method
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