Development of an optimal adaptive finite element stabiliser for the simulation of complex flows

An optimal adaptive multiscale finite element method(AMsFEM) for numerical solutions of flow problems modelled by the Oldroyd B model is developed. Complex flows experience instabilities due to a phenomena known as the high Weissenberg number problem. The stabilisers are terms in-cooperated into the...

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Bibliographic Details
Published in:	Scientific African Vol. 25; p. e02311
Main Authors:	Urombo, Jack, Yadav, Anit Kumar, Chadha, Naresh Mohan
Format:	Journal Article
Language:	English
Published:	Elsevier B.V 01-09-2024 Elsevier
Subjects:	Adaptive schemes Convective dominance Multiscale FEM Multiscale flow model Stabilisers secondary Multiscale flow model Stabilisers Adaptive schemes Multiscale FEM primary Convective dominance
Online Access:	Get full text
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Summary:	An optimal adaptive multiscale finite element method(AMsFEM) for numerical solutions of flow problems modelled by the Oldroyd B model is developed. Complex flows experience instabilities due to a phenomena known as the high Weissenberg number problem. The stabilisers are terms in-cooperated into the variational formulation when applying the finite element method. For the selected few stabilisers, numerical experiments are performed to study the convergence of the solutions. These demonstrate that adaptive strategies reduce the computational load of flow simulation. A best performing combination of choice of stabiliser and adaptive strategy is suggested. •Stabilisers for non-Newtonian fluids.•Optimise performance using and Adaptive Method Finite Elements.•Convergence analysis of selected stabilisers.•Stability analysis of stabilisers for Oldroyd B model.
ISSN:	2468-2276 2468-2276
DOI:	10.1016/j.sciaf.2024.e02311