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Stationary and time-dependent numerical approximation of the lid-driven cavity problem for power-law fluid flows at high Reynolds numbers using a stabilized finite element formulation of the VMS type

Author
Aguirre, A.; Castillo, E.; Cruchaga, M. A.; Codina, R.; Baiges, J.
Type of activity
Journal article
Journal
Journal of non-newtonian fluid mechanics
Date of publication
2018-07
Volume
257
First page
22
Last page
43
DOI
https://doi.org/10.1016/j.jnnfm.2018.03.014 Open in new window
Repository
https://www.researchgate.net/publication/323959125_Stationary_and_time-dependent_numerical_approximation_of_the_lid-driven_cavity_problem_for_power-law_fluid_flows_at_high_Reynolds_numbers_using_a_stabilized_finite_element_formulation_of_the_VMS_type Open in new window
URL
https://www.sciencedirect.com/science/article/pii/S0377025717304044 Open in new window
Abstract
In this work, a variational multiscale finite element formulation is used to approximate numerically the lid-driven cavity flow problem for high Reynolds numbers. For Newtonian fluids, this benchmark case has been extensively studied by many authors for low and moderate Reynolds numbers (up to ), giving place to steady flows, using stationary and time-dependent approaches. For more convective flows, the solution becomes unstable, describing an oscillatory behavior. The critical Reynolds number w...
Keywords
High Reynolds numbers, Hopf bifurcation, Lid-driven cavity flow, Power-law fluid, Stabilized finite element method, VMS
Group of research
(MC)2 - UPC Computational continuum mechanics
ANiComp - Numerical analysis and scientific computation

Participants