Lyras, KG, Hanson, B orcid.org/0000-0002-1720-1656, Fairweather, M et al. (1 more author) (2020) A coupled level set and volume of fluid method with a re-initialisation step suitable for unstructured meshes. Journal of Computational Physics, 407. 109224. ISSN 0021-9991
Abstract
This paper presents a coupling method of the level set and volume of fluid methods based on a simple local-gradient based re-initialisation approach that evaluates the distance function depending on the computational cell location. If a cell belongs to the interface, the signed distance is updated based on a search in the neighbouring cells and an interpolation procedure is applied depending on the local curvature or the sign of the level set function following [41]. The search algorithm does not distinguish between the upwind and downwind directions and hence it is able to be used for cells with an arbitrary number of faces increasing the robustness of the method. The coupling with the volume of fluid method is achieved by mapping the volume fraction field which is advected from the isoface evolution at a subgrid level. Consequently, the coupling with the level set approach is utilised without solving the level set equation. This coupled method provides better accuracy than the volume of fluid method alone and is capable of capturing sharp interfaces in all the classical numerical tests that are presented here.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2019, published by Elsevier Inc. All rights reserved. This is an author produced version of an article published in Journal of Computational Physics. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Re-initialisation; Level set; Volume of fluid |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Chemical & Process Engineering (Leeds) |
Funding Information: | Funder Grant number EU - European Union 755171 |
Depositing User: | Symplectic Publications |
Date Deposited: | 07 Feb 2020 16:29 |
Last Modified: | 07 Jan 2021 01:38 |
Status: | Published |
Publisher: | Elsevier |
Identification Number: | 10.1016/j.jcp.2019.109224 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:156394 |