Development of a compressive surface capturing formulation for modelling free-surface flow by using the volume-of-fluid approach
Article first published online: 6 JUN 2012
Copyright © 2012 John Wiley & Sons, Ltd.
International Journal for Numerical Methods in Fluids
Volume 71, Issue 6, pages 788–804, 28 February 2013
How to Cite
Heyns, J. A., Malan, A. G., Harms, T. M. and Oxtoby, O. F. (2013), Development of a compressive surface capturing formulation for modelling free-surface flow by using the volume-of-fluid approach. Int. J. Numer. Meth. Fluids, 71: 788–804. doi: 10.1002/fld.3694
- Issue published online: 22 JAN 2013
- Article first published online: 6 JUN 2012
- Manuscript Accepted: 6 MAY 2012
- Manuscript Revised: 24 APR 2012
- Manuscript Received: 18 OCT 2011
- surface capturing;
- higher resolution schemes;
- artificial compressive term
With the aim of accurately modelling free-surface flow of two immiscible fluids, this study presents the development of a new volume-of-fluid free-surface capturing formulation. By building on existing volume-of-fluid approaches, the new formulation combines a blended higher resolution scheme with the addition of an artificial compressive term to the volume-of-fluid equation. This reduces the numerical smearing of the interface associated with explicit higher resolution schemes while limiting the contribution of the artificial compressive term to ensure the integrity of the interface shape is maintained. Furthermore, the computational efficiency of the the higher resolution scheme is improved through the reformulation of the normalised variable approach and the implementation of a new higher resolution blending function. The volume-of-fluid equation is discretised via an unstructured vertex-centred finite volume method and solved via a Jacobian-type dual time-stepping approach. Copyright © 2012 John Wiley & Sons, Ltd.