Interface normal and curvature calculation for the conservative level set method

Doherty, William, Phillips, Timothy ORCID: https://orcid.org/0000-0001-6455-1205, Uhlmann, Markus and Xie, Zhihua ORCID: https://orcid.org/0000-0002-5180-8427 2026. Interface normal and curvature calculation for the conservative level set method. Journal of Computational Physics 547 , 114555. 10.1016/j.jcp.2025.114555

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Abstract

We proposed a novel diffused interface approach for the interface normal and curvature calculation in the conservative level set method framework for both Newtonian and non-Newtonian multiphase flows. The standard benchmark of reversible vortex problem is used to test the interface capturing method for both standard and conservative level set method. In addition, the new approach is validated to accurately simulate oscillating droplet, bubble rising in a viscoelastic fluid, and droplet impact in a deep pool, in which a good agreement is obtained with analytical solutions and experimental measurements.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Schools > Engineering Schools > Mathematics
Publisher:	Elsevier
ISSN:	0021-9991
Funders:	EPSRC
Date of First Compliant Deposit:	9 December 2025
Date of Acceptance:	27 November 2025
Last Modified:	08 Jan 2026 15:47
URI:	https://orca.cardiff.ac.uk/id/eprint/183010

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