Original title: Numerical tests of vanishing diffusion stabilization in Oldroyd-B fluid flow simulations
Authors: Pires, M. ; Bodnár, Tomáš
Document type: Papers
Conference/Event: Topical Problems of Fluid Mechanics 2021, on-line (CZ), 20210217
Year: 2021
Language: eng
Abstract: 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.
Keywords: finite element method; numerical stabilization; oldroyd-B fluid; stress diffusion
Project no.: GA19-04243S (CEP)
Funding provider: GA ČR
Host item entry: Proceedings of Topical Problems of Fluid Mechanics 2021, ISBN 978-80-87012-76-5, ISSN 2336-5781
Note: Související webová stránka: https://doi.org/10.14311/TPFM.2021.014

Institution: Institute of Mathematics AS ČR (web)
Document availability information: Fulltext is available in the digital repository of the Academy of Sciences.
Original record: http://hdl.handle.net/11104/0329272

Permalink: http://www.nusl.cz/ntk/nusl-508507


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Research > Institutes ASCR > Institute of Mathematics
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