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Temporal artificial stress diffusion for numerical simulations of Oldroyd-B fluid flow
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SYSNO ASEP 0552865 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Temporal artificial stress diffusion for numerical simulations of Oldroyd-B fluid flow Author(s) Pires, M. (PT)
Bodnár, Tomáš (MU-W) RID, SAI, ORCIDArticle number 404 Source Title Mathematics. - : MDPI
Roč. 10, č. 3 (2022)Number of pages 20 s. Language eng - English Country CH - Switzerland Keywords finite element method ; numerical diffusion ; Oldroyd-B model ; viscoelastic fluids Subject RIV BA - General Mathematics OECD category Pure mathematics R&D Projects GA19-04243S GA ČR - Czech Science Foundation (CSF) Method of publishing Open access Institutional support MU-W - RVO:67985840 UT WOS 000755539700001 EID SCOPUS 85123628621 DOI 10.3390/math10030404 Annotation This paper presents a numerical evaluation of two different artificial stress diffusion techniques for the stabilization of viscoelastic Oldroyd-B fluid flows at high Weissenberg 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. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2023 Electronic address https://doi.org/10.3390/math10030404
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