Fully coupled implicit finite-volume algorithm for viscoelastic interfacial flows

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Authors

Publication Details

Journal
Journal of Non-Newtonian Fluid Mechanics
Published
2026-09-14
DOI
https://doi.org/10.1016/j.jnnfm.2026.105660
Primary Topic
Rheology and Fluid Dynamics Studies
Type
article
Field-Weighted Citation Impact
0.00

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article

Fully coupled implicit finite-volume algorithm for viscoelastic interfacial flows

Gabriele Gennari, Fabian Denner, Berend van Wachem, ayman mazloum
Journal of Non-Newtonian Fluid Mechanics
Rheology and Fluid Dynamics Studies
article

Fully coupled implicit finite-volume algorithm for viscoelastic interfacial flows

Gabriele Gennari, Fabian Denner, Berend van Wachem, ayman mazloum
article en

Abstract

A fully coupled implicit finite-volume algorithm for incompressible viscoelastic interfacial flows is proposed, whereby the viscoelasticity of the flow is described by an upper-convected Maxwell constitutive model, including limited extensibility and shear-thinning behaviour. The governing equations describing the conservation of continuity and momentum, as well as the constitutive model are discretized using standard finite-volume methods and are solved for pressure, velocity and the polymer stress tensor in a single linear system of equations. Treating all terms of the linearized and discretized governing equations implicit in velocity, pressure and/or the components of the polymer stress tensor, a tightly coupled system of equations is obtained. The interface separating the interacting bulk phases and the surface tension acting at the fluid interface are modelled using a state-of-the-art front-tracking method. We demonstrate the capabilities of the proposed numerical framework with four representative test cases, including the deformation of a viscoelastic droplet in shear flow at large Weissenberg numbers of up to Wi=10^4, and the jump discontinuity of the rise velocity of a bubble rising in a viscoelastic liquid as a result of a "negative wake". Contrary to previous studies using segregated algorithms, the proposed fully coupled implicit algorithm does not apply or require a log-conformation approach to predict these flows. Overall, the fully implicit coupled front-tracking formulation provides a robust framework to reliable numerical predictions of strongly elastic interfacial flows at large Weissenberg numbers.

Journal of Non-Newtonian Fluid MechanicsVol. 351
Deutsche Forschungsgemeinschaft, Natural Sciences and Engineering Research Council of Canada
Life in Land
Openalex Percentile: Top 92%
Rheology and Fluid Dynamics Studies
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