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Numerical tests of vanishing diffusion stabilization in Oldroyd-B fluid flow simulations
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SYSNO ASEP 0554563 Document Type C - Proceedings Paper (int. conf.) R&D Document Type Conference Paper Title Numerical tests of vanishing 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 2021. - Prague : Institute of Thermomechanics AS CR, v. v. i., 2021 / Bodnár T. ; Neustupa T. ; Šimurda D. - ISSN 2336-5781 - ISBN 978-80-87012-76-5 Pages s. 102-109 Number of pages 8 s. Publication form Print - P Action Topical Problems of Fluid Mechanics 2021 Event date 17.02.2021 - 19.02.2021 VEvent location on-line Country CZ - Czech Republic Event type WRD Language eng - English Country CZ - Czech Republic Keywords finite element method ; oldroyd-B fluid ; numerical stabilization ; stress 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 UT WOS 000853393400014 DOI https://doi.org/10.14311/TPFM.2021.014 Annotation This work presents some numerical tests of finite element solution of incompressible Oldroyd-B fluids flows, using different types of numerical stabilization. In this study the diffusive term (Laplacian of extra stress) is added to the tensorial constitutive relation where it is multiplied by a coefficient, that is variable in time. The goal is to make this diffusion coefficient vanish in time, so that the final solution remains unaffected by the added diffusion term. A series of numerical tests was performed for the steady two-dimensional Oldroyd-B fluid flow in corrugated channel (tube) to compare different versions of the vanishing stabilization terms and assess their efficiency in enforcing the solution convergence, without affecting the final steady state. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2022
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