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Title: Temporal Artificial Stress Diffusion for Numerical Simulations of Oldroyd-B Fluid Flow
Authors: Pires, Marília
Bodnár, Tomáš
Editors: Carapau, Fernando
Bezzeghoud, Mourad
Bodnár, Tomás
Keywords: viscoelastic fluids
finite element method
Oldroyd-B model;
numerical diffusion
Issue Date: 27-Jan-2022
Publisher: Mathematics,Special Issue Mathematical Dynamic Flow Models
Citation: Temporal Artificial Stress Diffusion for Numerical Simulations of Oldroyd-B Fluid Flow by Marília Pires and Tomáš Bodnár Mathematics 2022, 10(3), 404; - 27 Jan 2022
Abstract: This paper presents a numerical evaluation of two different artificial stress diffusion techniques for the stabilization of viscoelastic Oldroyd-B fluid flows at highWeissenberg numbers. The standard artificial diffusion in the form of a Laplacian of the extra stress tensor is compared with a newly proposed approach using a discrete time derivative of the Laplacian of the extra stress tensor. Both methods are implemented in a finite element code and demonstrated in the solution of a viscoelastic fluid flow in a two-dimensional corrugated channel for a range of Weissenberg numbers. The numerical simulations have shown that this new temporal stress diffusion not only efficiently stabilizes numerical simulations, but also vanishes when the solution reaches a steady state. It is demonstrated that in contrast to the standard tensorial diffusion, the temporal artificial stress diffusion does not affect the final solution.
Type: article
Appears in Collections:CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica

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