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Numerical tests of vanishing diffusion stabilization in Oldroyd-B fluid flow simulations

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, ORCID}
Source 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	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

Number of the records: 1