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

Autor
Castillo, E.; Codina, R.
Tipus d'activitat
Article en revista
Revista
Computer methods in applied mechanics and engineering
Data de publicació
2014-09
Volum
279
Pàgina inicial
554
Pàgina final
578
DOI
https://doi.org/10.1016/j.cma.2014.07.003 Obrir en finestra nova
URL
http://www.sciencedirect.com/science/article/pii/S0045782514002254 Obrir en finestra nova
Resum
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 ...
Paraules clau
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
Grup de recerca
(MC)2 - UPC Mecànica de Medis Continus i Computacional
ANiComp - Anàlisi numèrica i computació científica

Participants