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Effect of polymer-stress diffusion in the numerical simulation of elastic turbulence

Published online by Cambridge University Press:  10 May 2019

Anupam Gupta  and
Dario Vincenzi Open the ORCID record for Dario Vincenzi [Opens in a new window]
Anupam Gupta
Affiliation:
Paulson School of Engineering and Applied Sciences, Harvard University, Cambridge, MA 02138, USA
Dario Vincenzi*
Affiliation:
Université Côte d’Azur, CNRS, LJAD, 06100 Nice, France
*
†Email address for correspondence: dario.vincenzi@unice.fr
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Abstract

Elastic turbulence is a chaotic regime that emerges in polymer solutions at low Reynolds numbers. A common way to ensure stability in numerical simulations of polymer solutions is to add artificially large polymer-stress diffusion. In order to assess the accuracy of this approach in the elastic turbulence regime, we compare numerical simulations of the two-dimensional Oldroyd-B and FENE-P models sustained by a cellular force with and without artificial diffusion. We find that artificial diffusion can have a dramatic effect even on the large-scale properties of the flow and we show some of the spurious phenomena that may arise when artificial diffusion is used.

JFM classification

Non-Newtonian Flows: Viscoelasticity
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 870 , 10 July 2019 , pp. 405 - 418
Copyright
© 2019 Cambridge University Press 

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