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research-article

A positivity-preserving numerical method for a thin liquid film on a vertical cylindrical fiber

Authors:

Andrea L. Bertozzi,

Abolfazl Sadeghpour,

Y. Sungtaek JuAuthors Info & Claims

Volume 496, Issue C

https://doi.org/10.1016/j.jcp.2023.112560

Published: 27 February 2024 Publication History

Abstract

When a thin liquid film flows down on a vertical fiber, one can observe the complex and captivating interfacial dynamics of an unsteady flow. Such dynamics are applicable in various fluid experiments due to their high surface area-to-volume ratio. Recent studies verified that when the flow undergoes regime transitions, the magnitude of the film thickness changes dramatically, making numerical simulations challenging. In this paper, we present a computationally efficient numerical method that can maintain the positivity of the film thickness as well as conserve the volume of the fluid under the coarse mesh setting. A series of comparisons to laboratory experiments and previously proposed numerical methods supports the validity of our numerical method. We also prove that our method is second-order consistent in space and satisfies the entropy estimate.

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Published In

cover image Journal of Computational Physics

Journal of Computational Physics Volume 496, Issue C

Jan 2024

746 pages

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Copyright © 2023.

Publisher

Academic Press Professional, Inc.

United States

Publication History

Published: 27 February 2024

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