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Conservative volume-of-fluid method for free-surface simulations on Cartesian-grids

Conservative volume-of-fluid method for free-surface simulations on Cartesian-grids
Conservative volume-of-fluid method for free-surface simulations on Cartesian-grids
This paper contributes to the state of the art in Cartesian-grid methods through development of new advection and reconstruction Volume-of-Fluid (VOF) algorithms which are applicable to two and three-dimensional flows. A computationally efficient and second-order VOF reconstruction method is presented which uses no inversions to determine the interface normal direction. Next, the lack of conservation of fluid volume in previous VOF advection methods are shown to be due to improper treatment of one-dimensional stretching in the velocity field. This paper uses simple explicit time stepping and a cell-center estimate of the volume fraction in the dilatation term to achieve a completely conservative advection method. The new methods are simple, robust and shown to out perform existing approaches for canonical test problems relevant to breaking wave flows.
0021-9991
2853-2865
Weymouth, Gabriel
b0c85fda-dfed-44da-8cc4-9e0cc88e2ca0
Yue, Dick
5e013586-46be-4aa6-b097-6acfce5a196c
Weymouth, Gabriel
b0c85fda-dfed-44da-8cc4-9e0cc88e2ca0
Yue, Dick
5e013586-46be-4aa6-b097-6acfce5a196c

Weymouth, Gabriel and Yue, Dick (2010) Conservative volume-of-fluid method for free-surface simulations on Cartesian-grids. Journal of Computational Physics, 229 (8), 2853-2865. (doi:10.1016/j.jcp.2009.12.018).

Record type: Article

Abstract

This paper contributes to the state of the art in Cartesian-grid methods through development of new advection and reconstruction Volume-of-Fluid (VOF) algorithms which are applicable to two and three-dimensional flows. A computationally efficient and second-order VOF reconstruction method is presented which uses no inversions to determine the interface normal direction. Next, the lack of conservation of fluid volume in previous VOF advection methods are shown to be due to improper treatment of one-dimensional stretching in the velocity field. This paper uses simple explicit time stepping and a cell-center estimate of the volume fraction in the dilatation term to achieve a completely conservative advection method. The new methods are simple, robust and shown to out perform existing approaches for canonical test problems relevant to breaking wave flows.

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Published date: 4 January 2010
Organisations: Fluid Structure Interactions Group

Identifiers

Local EPrints ID: 349787
URI: http://eprints.soton.ac.uk/id/eprint/349787
ISSN: 0021-9991
PURE UUID: c7f62f12-e57d-4579-9176-c1b6ec6a2edb
ORCID for Gabriel Weymouth: ORCID iD orcid.org/0000-0001-5080-5016

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Date deposited: 11 Mar 2013 12:53
Last modified: 28 Apr 2022 02:09

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Author: Dick Yue

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