000174712 001__ 174712
000174712 005__ 20180317095402.0
000174712 0247_ $$2doi$$a10.1016/j.compfluid.2011.08.023
000174712 02470 $$2ISI$$a000298624800002
000174712 037__ $$aARTICLE
000174712 245__ $$aSimulation of flows of viscoelastic fluids at high Weissenberg number using a filter-based stabilization of the spectral element method
000174712 260__ $$c2012
000174712 269__ $$a2012
000174712 336__ $$aJournal Articles
000174712 520__ $$aThe challenge for computational rheologists is to develop efficient and stable numerical schemes in order to obtain accurate numerical solutions for the governing equations at values of practical interest of the Weissenberg number. One of the associated problems for numerical simulation of viscoelastic fluids is that the accuracy of the results when approaching critical values at which numerical instabilities occur is very low and refining the mesh proved to be not very helpful. In order to investigate the numerical instability generation a comprehensive study about the growth of spurious modes with time evolution, mesh refinement, boundary conditions and Weissenberg number or any other affected parameters is performed on the planar Poiseuille channel flow. To get rid of these spurious modes the filter based stabilization of spectral element methods proposed by Boyd (1998) [1] is applied. This filter technique is very useful to eliminate spurious modes for one element decomposition, while in the case of multi-element configuration, the performance of this technique is not ideal. Since the performance of filter-based stabilization of spectral element acts very well for one element decomposition, a possible remedy to solve the associated problem of multi-element decomposition is mesh-transfer technique which means: first mapping the multi-element configuration to one element configuration, applying filter-based stabilization technique to this new topology and hereafter transferring the filtered variables to the original configuration. This way of implementing filtering is very useful for the Oldroyd-B fluids when a moderate number of grid points is used. (C) 2011 Elsevier Ltd. All rights reserved.
000174712 6531_ $$aViscoelastic fluid flows
000174712 6531_ $$aHigh Weissenberg number
000174712 6531_ $$aSpectral elements
000174712 6531_ $$aFilter-based stabilization technique
000174712 6531_ $$aApproximate Deconvolution Model
000174712 6531_ $$aNavier-Stokes Equations
000174712 6531_ $$aMixed Finite-Element
000174712 6531_ $$aPolymer-Solution
000174712 6531_ $$aViscosity
000174712 6531_ $$aComputation
000174712 6531_ $$aDiffusion
000174712 6531_ $$aSteady
000174712 700__ $$0242408$$aJafari, Azadeh$$g177580$$uEcole Polytech Fed Lausanne, Inst Engn Mech, Lab Computat Engn, CH-1015 Lausanne, Switzerland
000174712 700__ $$aFietier, Nicolas$$uEcole Polytech Fed Lausanne, Inst Engn Mech, Lab Computat Engn, CH-1015 Lausanne, Switzerland
000174712 700__ $$0240906$$aDeville, Michel O.$$g104955$$uEcole Polytech Fed Lausanne, Inst Engn Mech, Lab Computat Engn, CH-1015 Lausanne, Switzerland
000174712 773__ $$j53$$q15-39$$tComputers & Fluids
000174712 909CO $$ooai:infoscience.tind.io:174712$$particle
000174712 909C0 $$0252047$$pLIN$$xU10316
000174712 937__ $$aEPFL-ARTICLE-174712
000174712 973__ $$aEPFL$$rREVIEWED$$sPUBLISHED
000174712 980__ $$aARTICLE