A control volume finite element method for three-dimensional three-phase flows

Xie, Zhihua ORCID: https://orcid.org/0000-0002-5180-8427, Pavlidis, Dimitrios, Salinas, Pablo, Pain, Christopher C. and Matar, Omar K. 2020. A control volume finite element method for three-dimensional three-phase flows. International Journal for Numerical Methods in Fluids 92 (7) , pp. 765-784. 10.1002/fld.4805

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Abstract

A novel control volume finite element method with adaptive anisotropic unstructured meshes is presented for three‐dimensional three‐phase flows with interfacial tension. The numerical framework consists of a mixed control volume and finite element formulation with a new P1DG‐P2 elements (linear discontinuous velocity between elements and quadratic continuous pressure between elements). A “volume of fluid” type method is used for the interface capturing, which is based on compressive control volume advection and second‐order finite element methods. A force‐balanced continuum surface force model is employed for the interfacial tension on unstructured meshes. The interfacial tension coefficient decomposition method is also used to deal with interfacial tension pairings between different phases. Numerical examples of benchmark tests and the dynamics of three‐dimensional three‐phase rising bubble, and droplet impact are presented. The results are compared with the analytical solutions and previously published experimental data, demonstrating the capability of the present method.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Engineering Advanced Research Computing @ Cardiff (ARCCA)
Publisher:	Wiley
ISSN:	0271-2091
Funders:	EPSRC
Date of First Compliant Deposit:	20 January 2020
Date of Acceptance:	30 December 2019
Last Modified:	06 May 2023 04:10
URI:	https://orca.cardiff.ac.uk/id/eprint/128785

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