Institute of Thermomechanics AS CR, v.v.i. | CTU in Prague Faculty of Mech. Engineering Dept. Tech. Mathematics | MIO Université du Sud Toulon Var - AMU - CNRS - IRD | Czech Pilot centre ERCOFTAC |
Numerical Tests of Vanishing Diffusion Stabilization in Oldroyd-B Fluid Flow Simulations | |
Pires M., Bodnár T. | |
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, oldroyd-B fluid, numerical stabilization, stress diffusion | |
Fulltext: PDF DOI: https://doi.org/10.14311/TPFM.2021.014 | |
In Proceedings Topical Problems of Fluid Mechanics 2021, Prague, 2021, Edited by Tomáš Bodnár, Tomáš Neustupa and David Šimurda, pp. 102-109ISBN 978-80-87012-76-5 (Print)ISSN 2336-5781 (Print) |