Premium
Simulation of viscoelastic fluids in a 2D abrupt contraction by spectral element method
Author(s) -
Jafari Azadeh,
Fiétier Nicolas,
Deville Michel O.
Publication year - 2015
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.4012
Subject(s) - logarithm , vortex , hagen–poiseuille equation , weissenberg number , nonlinear system , viscoelasticity , mathematics , elasticity (physics) , planar , contraction (grammar) , inertial frame of reference , finite element method , mathematical analysis , geometry , physics , mechanics , classical mechanics , flow (mathematics) , computer science , medicine , computer graphics (images) , quantum mechanics , thermodynamics
Summary This study presents the vortex structure and numerical instability increase occurring when the level of elasticity is enhanced in inertial flows in planar contraction configuration for finitely extensible nonlinear elastic model by Peterlin (FENE‐P) fluid [1][Bird RB, 1980]. The re‐entrant corner effect on corner vortices is also considered. The calculations are performed using extended matrix logarithm formulation described in a previous paper: A. Jafari et al . A new extended matrix logarithm formulation for the simulation of viscoelastic fluids by spectral elements. Computer & Fluids 2010; 39 (9):1425–1438. In that reference, the proposed algorithm has been tested for simple geometry such as Poiseuille flow. In this study, we are interested in the capability of this algorithm for more complex geometry. This formulation helps to reach higher values of the Weissenberg number when compared with the classical one. Copyright © 2015 John Wiley & Sons, Ltd.