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Modelling of Bingham and Herschel-Bulkley flows with mixed P1/P1 finite elements stabilized with Orthogonal Subgrid Scale

Author
Moreno, E.; Larese, A.; Cervera, M.
Type of activity
Journal article
Journal
Journal of non-newtonian fluid mechanics
Date of publication
2016-02
Volume
28
First page
1
Last page
16
DOI
https://doi.org/10.1016/j.jnnfm.2015.12.005 Open in new window
Repository
http://hdl.handle.net/2117/81641 Open in new window
URL
http://www.sciencedirect.com/science/article/pii/S0377025715002062 Open in new window
Abstract
This paper presents the application of a stabilized mixed pressure/velocity finite element formulation to the solution of viscoplastic non-Newtonian flows. Both Bingham and Herschel–Bulkley models are considered. The detail of the discretization procedure is presented and the Orthogonal Subgrid Scale (OSS) stabilization technique is introduced to allow for the use of equal order interpolations in a consistent way. The matrix form of the problem is given. A series of examples is presented to as...
Citation
Moreno, E., Larese, A., Cervera, M. Modelling of Bingham and Herschel-Bulkley flows with mixed P1/P1 finite elements stabilized with Orthogonal Subgrid Scale. "Journal of non-newtonian fluid mechanics", Febrer 2016, vol. 28, p. 1-16.
Keywords
Bingham flows, Extrusion, Herschel–Bulkley flows, Moving cylinder, Orthogonal subscale stabilization, Variational multiscale stabilization
Group of research
(MC)2 - UPC Computational continuum mechanics
GMNE - Numerical Methods in Engineering Group
RMEE - Strength of Materials and Structural Engineering Research Group

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