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A moment-of-fluid method for resolving filamentary structures using a symmetric multi-material approach

Hergibo, Philippe, Phillips, Timothy N. ORCID: https://orcid.org/0000-0001-6455-1205 and Xie, Zhihua ORCID: https://orcid.org/0000-0002-5180-8427 2023. A moment-of-fluid method for resolving filamentary structures using a symmetric multi-material approach. Journal of Computational Physics 491 , 112401. 10.1016/j.jcp.2023.112401

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Abstract

Multiphase flows have implications in many areas of engineering. The moment-of-fluid (MOF) method is an interface capturing method using both volume fraction and centroid within a cell for interface reconstruction. A symmetric approach to reconstruct thin structures is presented. Also called filaments, these subcell characteristics involve multi-material reconstruction. In addition, a new optimisation algorithm is presented using a bisection method without any necessary initial condition. Using a Lagrangian approach for dynamic cases, no restrictions are imposed on timestep. The new method is validated using several benchmark cases that have been studied extensively in the literature. A near quadratic order of convergence and high accuracy is achieved while maintaining an acceptable runtime.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Engineering
Mathematics
Publisher: Elsevier
ISSN: 0021-9991
Funders: EPSRC, Royal Society
Date of First Compliant Deposit: 3 August 2023
Date of Acceptance: 25 July 2023
Last Modified: 20 Sep 2023 16:35
URI: https://orca.cardiff.ac.uk/id/eprint/161430

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