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Stabilized stress-velocity-pressure finite element formulations of the Navier-Stokes problem for fluids with non-linear viscosity

Author
Castillo, E.; Codina, R.
Type of activity
Journal article
Journal
Computer methods in applied mechanics and engineering
Date of publication
2014-09
Volume
279
First page
554
Last page
578
DOI
https://doi.org/10.1016/j.cma.2014.07.003 Open in new window
URL
http://www.sciencedirect.com/science/article/pii/S0045782514002254 Open in new window
Abstract
The three-field (stress velocity pressure) mixed formulation of the incompressible Navier-Stokes problem can lead to two different types of numerical instabilities. The first is associated with the incompressibility and loss of stability in the calculation of the stress field, and the second with the dominant convection. The first type of instabilities can be overcome by choosing an interpolation for the unknowns that satisfies the appropriate inf-sup conditions, whereas the dominant convection ...
Keywords
APPROXIMATION, CIRCULAR-CYLINDER, CONVECTION, DYNAMIC SUBSCALES, EQUATIONS, INCOMPRESSIBLE FLOWS, Incompressible flows, Mixed finite element methods, NEWTONIAN BLOOD-FLOW, Non-Newtonian fluids, ORTHOGONAL SUBSCALES, POWER-LAW FLUIDS, Stabilized formulations, Three-field formulation, VISCOELASTIC FLOWS
Group of research
(MC)2 - UPC Computational continuum mechanics
ANiComp - Numerical analysis and scientific computation

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