Please use this identifier to cite or link to this item:

Title: Stabilization of Oldroyd-B Fluid Flow Simulations Based On Eigenvalues of Conformation Tensor
Authors: Pires, Marilia
Bodnár, Tomás
Editors: Maria Amélia Loja, Mourad Bezzeghoud
Joaquim Infante Barbosa, José Alberto Rodrigues
Keywords: viscoelastic fluids
Oldroyd-B model
numerical stabilization
stress diffusion
Issue Date: Mar-2023
Publisher: SYMCOMP2023
Citation: Pires, M. & Bodnár,T., Stabilization of Fluid Flow Oldroyd-B Simulations Based On Eigenvalues of Conformation Tensor, Proceedings of the SYMCOMP 2023, 6th International Conference on Numerical and Symbolic Computation Developments and Applications, Évora, Portugal.
Abstract: From a physical point of view, the molecular strain tensor can be represented at continuous level in viscoelastic fluids by the conformation tensor. This symmetric tensor should always be positive definite, however the positive-definiteness is sometimes lost in numerical simulations of non-Newtonian viscoelastic fluids flows at larger values of the Weissenberg number. This problem known as the High Weissenberg Number Problem (HWNP) and is characterized by the breakdown of numerical solutions. In some cases the HWNP can be avoided (or at least delayed) by adding a stress diffusion term to the transport equations for viscoelastic tensors. In this work, numerical tests are presented, demonstrating the HWNP problem and its possible cure based on stabilization method employing local addition of an artificial stress diffusion term to the transport equations, in the regions of the computational domain where the positive-definiteness of the conformation tensor can be violated.
ISBN: 978-989-99410-7-6
Type: article
Appears in Collections:CIMA - Artigos em Livros de Actas/Proceedings

Files in This Item:

File Description SizeFormat
SYMCOMP2023_proceeding.pdf1.17 MBAdobe PDFView/Open
FacebookTwitterDeliciousLinkedInDiggGoogle BookmarksMySpaceOrkut
Formato BibTex mendeley Endnote Logotipo do DeGóis 

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.


Dspace Dspace
DSpace Software, version 1.6.2 Copyright © 2002-2008 MIT and Hewlett-Packard - Feedback
UEvora B-On Curriculum DeGois