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On the influence of diffusion stabilization in Oldroyd-B fluid flow simulations
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SYSNO ASEP 0523867 Document Type C - Proceedings Paper (int. conf.) R&D Document Type Conference Paper Title On the influence of diffusion stabilization in Oldroyd-B fluid flow simulations Author(s) Pires, M. (PT)
Bodnár, Tomáš (MU-W) RID, SAI, ORCIDSource Title Proceedings of Topical Problems of Fluid Mechanics 2020. - Praha : Institute of Thermomechanics of the Czech Academy of Sciences, 2020 / Šimurda D. ; Bodnár T. - ISSN 2336-5781 - ISBN 978-80-87012-74-1 Pages s. 176-183 Number of pages 8 s. Publication form Print - P Action Topical Problems of Fluid Mechanics 2020 Event date 19.02.2020 - 21.02.2020 VEvent location Prague Country CZ - Czech Republic Event type WRD Language eng - English Country CZ - Czech Republic Keywords finite element method ; Oldroyd-B fluid ; numerical stabilization ; stres diffusion Subject RIV BA - General Mathematics OECD category Pure mathematics R&D Projects GA19-04243S GA ČR - Czech Science Foundation (CSF) Institutional support MU-W - RVO:67985840 DOI 10.14311/TPFM.2020.023 Annotation This work presents some numerical tests of finite element solution of incompressible Oldroyd-B fluid flows. The effect of numerical stabilization using artificial stress diffusion is investigated in detail. The limits of Weissenberg number We for which it is possible to obtain the numerical solution were studied depending on the Reynolds number Re and the diffusion parameter. Series of numerical tests were performed for steady two-dimensional Oldroyd-B fluid flow in corrugated channel (tube). The numerical results clearly proved the advantage (higher attainable We) of stabilized numerical method over the classical formulation without the artificial stress diffusion. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2021 Electronic address https://doi.org/10.14311/TPFM.2020.023
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