A new numerical framework to simulate viscoelastic free-surface flows with the finite-volume method

Raphaël Comminal; Jon Spangenberg; Jesper Henri Hattel

doi:10.1088/1742-6596/602/1/012022

A new numerical framework to simulate viscoelastic free-surface flows with the finite-volume method

Raphaël Comminal, Jon Spangenberg, Jesper Henri Hattel

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Abstract

A new method for the simulation of 2D viscoelastic flow is presented. Numerical stability is obtained by the logarithmic-conformation change of variable, and a fully-implicit pure-streamfunction flow formulation, without use of any artificial diffusion. As opposed to other simulation results, our calculations predict a hydrodynamic instability in the 4:1 contraction geometry at a Weissenberg number of order 4. This new result is in qualitative agreement with the prediction of a non-linear subcritical elastic instability in Poiseuille flow. Our viscoelastic flow solver is coupled with a volume-of-fluid solver in order to predict free-surfaces in extrusion.

Original language	English
Article number	012022
Book series	Journal of Physics: Conference Series (Online)
Volume	602
Number of pages	6
ISSN	1742-6596
DOIs	https://doi.org/10.1088/1742-6596/602/1/012022
Publication status	Published - 2015
Event	1st International Conference on Rheology and Modeling of Materials (ic-rmm1) - Miskolc-Lillafüred, Hungary Duration: 7 Oct 2013 → 11 Oct 2013 Conference number: 1 http://www.ic-rmm1.eu/

Conference

Conference	1st International Conference on Rheology and Modeling of Materials (ic-rmm1)
Number	1
Country/Territory	Hungary
City	Miskolc-Lillafüred
Period	07/10/2013 → 11/10/2013
Internet address	http://www.ic-rmm1.eu/

Bibliographical note

Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. Published under licence by IOP Publishing Ltd

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title = "A new numerical framework to simulate viscoelastic free-surface flows with the finite-volume method",

abstract = "A new method for the simulation of 2D viscoelastic flow is presented. Numerical stability is obtained by the logarithmic-conformation change of variable, and a fully-implicit pure-streamfunction flow formulation, without use of any artificial diffusion. As opposed to other simulation results, our calculations predict a hydrodynamic instability in the 4:1 contraction geometry at a Weissenberg number of order 4. This new result is in qualitative agreement with the prediction of a non-linear subcritical elastic instability in Poiseuille flow. Our viscoelastic flow solver is coupled with a volume-of-fluid solver in order to predict free-surfaces in extrusion.",

author = "Rapha{\"e}l Comminal and Jon Spangenberg and Hattel, {Jesper Henri}",

note = "Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. Published under licence by IOP Publishing Ltd; 1st International Conference on Rheology and Modeling of Materials (ic-rmm1), ic-rmm ; Conference date: 07-10-2013 Through 11-10-2013",

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AU - Comminal, Raphaël

AU - Spangenberg, Jon

AU - Hattel, Jesper Henri

N1 - Conference code: 1

PY - 2015

Y1 - 2015

N2 - A new method for the simulation of 2D viscoelastic flow is presented. Numerical stability is obtained by the logarithmic-conformation change of variable, and a fully-implicit pure-streamfunction flow formulation, without use of any artificial diffusion. As opposed to other simulation results, our calculations predict a hydrodynamic instability in the 4:1 contraction geometry at a Weissenberg number of order 4. This new result is in qualitative agreement with the prediction of a non-linear subcritical elastic instability in Poiseuille flow. Our viscoelastic flow solver is coupled with a volume-of-fluid solver in order to predict free-surfaces in extrusion.

AB - A new method for the simulation of 2D viscoelastic flow is presented. Numerical stability is obtained by the logarithmic-conformation change of variable, and a fully-implicit pure-streamfunction flow formulation, without use of any artificial diffusion. As opposed to other simulation results, our calculations predict a hydrodynamic instability in the 4:1 contraction geometry at a Weissenberg number of order 4. This new result is in qualitative agreement with the prediction of a non-linear subcritical elastic instability in Poiseuille flow. Our viscoelastic flow solver is coupled with a volume-of-fluid solver in order to predict free-surfaces in extrusion.

U2 - 10.1088/1742-6596/602/1/012022

DO - 10.1088/1742-6596/602/1/012022

M3 - Conference article

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VL - 602

JO - Journal of Physics: Conference Series (Online)

JF - Journal of Physics: Conference Series (Online)

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T2 - 1st International Conference on Rheology and Modeling of Materials (ic-rmm1)

Y2 - 7 October 2013 through 11 October 2013

ER -

A new numerical framework to simulate viscoelastic free-surface flows with the finite-volume method

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