Heyns, Johan AMalan, AGHarms, TMOxtoby, Oliver F2013-03-272013-03-272012-06Heyns, JA, Malan, AG, Harms, TM and Oxtoby, OF. 2012. Development of a compressive surface capturing formulation for modelling free-surface flow by using the volume-of-fluid approach. International Journal for Numerical Methods in Fluids, vol. 71(6), pp 788-8040271-2091http://onlinelibrary.wiley.com/doi/10.1002/fld.v71.6/issuetochttp://hdl.handle.net/10204/6636Copyright: 2012 Wiley-Blackwell. This is the pre/post print version of the work. The definitive version is published in International Journal for Numerical Methods in Fluids, vol. 71(6), pp 788-804With 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.enVolume-of-fluidSurface capturingHigher resolution schemesArtificial compressive termArticleHeyns, J. A., Malan, A., Harms, T., & Oxtoby, O. F. (2012). Development of a compressive surface capturing formulation for modelling free-surface flow by using the volume-of-fluid approach. http://hdl.handle.net/10204/6636Heyns, Johan A, AG Malan, TM Harms, and Oliver F Oxtoby "Development of a compressive surface capturing formulation for modelling free-surface flow by using the volume-of-fluid approach." (2012) http://hdl.handle.net/10204/6636Heyns JA, Malan A, Harms T, Oxtoby OF. Development of a compressive surface capturing formulation for modelling free-surface flow by using the volume-of-fluid approach. 2012; http://hdl.handle.net/10204/6636.TY - Article AU - Heyns, Johan A AU - Malan, AG AU - Harms, TM AU - Oxtoby, Oliver F AB - 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. DA - 2012-06 DB - ResearchSpace DP - CSIR KW - Volume-of-fluid KW - Surface capturing KW - Higher resolution schemes KW - Artificial compressive term LK - https://researchspace.csir.co.za PY - 2012 SM - 0271-2091 T1 - Development of a compressive surface capturing formulation for modelling free-surface flow by using the volume-of-fluid approach TI - Development of a compressive surface capturing formulation for modelling free-surface flow by using the volume-of-fluid approach UR - http://hdl.handle.net/10204/6636 ER -