期刊
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
卷 279, 期 -, 页码 579-605出版社
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2014.07.006
关键词
Viscoelastic fluids; Stabilized finite element methods; Oldroyd-B fluid; Discontinuity capturing technique
资金
- CONICYT (Programa de Formacion de Capital Humano Avanzado/Becas-Chile Folio) [72120080]
- Universidad de Santiago de Chile
- Catalan Government through the ICREA Academia Research Program
In this paper, three-field finite element stabilized formulations are proposed for the numerical solution of incompressible viscoelastic flows. These methods allow one to use equal interpolation for the problem unknowns sigma-u-p (elastic deviatoric stress-velocity-pressure) and to stabilize dominant convective terms. Starting from residual-based stabilized formulations, the proposed method introduces a term-by-term stabilization which is shown to have a superior behavior when there are stress singularities. A general discontinuity-capturing technique for the elastic stress component is also proposed, which allows one to eliminate the local oscillations that can appear when the Weissenberg number We is high and the fluid flow finds an abrupt change in the geometry. The formulations are tested in the classical 4:1 planar contraction benchmark up to We = 5 in the inertial case, with Reynolds number Re = 1, and up to We = 6.5 in the quasi non-inertial case, with Re = 0.01. The standard Oldroyd-B constitutive model is used for the rheological behavior and linear and quadratic elements for the spatial approximation. (C) 2014 Elsevier B.V. All rights reserved.
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