Heyns, Johan AMalan, AGHarms, TMOxtoby, Oliver F2013-03-252013-03-252013-05Heyns, JA, Malan, AG, Harms, TM and Oxtoby, OF. 2012. A weakly compressible free-surface flow solver for liquid–gas systems using the volume-of-fluid approach. Journal of Computational Physics, vol. 240, pp 145-1570021-9991http://www.sciencedirect.com/science/article/pii/S0021999113000533http://hdl.handle.net/10204/6617Copyright: 2012 Elsevier. This is the post print version of the work. The definitive version is published in Journal of Computational Physics, vol. 240, pp 145-157This paper presents a weakly compressible volume-of-fluid formulation for modelling immiscible high density ratio two-fluid flow under low Mach number conditions. This follows findings of experimental analyses that concluded the compressibility of the gas has a noteworthy effect on predicted pressure loads in liquid–gas flow in certain instances. With the aim of providing a more accurate numerical representation of dynamic two-fluid flow, the solver is subsequently extended to account for variations in gas densities. A set of governing equations is proposed, which accounts for the compressible properties of the gas phase in a manner which allows for a computationally efficient numerical simulation. Furthermore, the governing equations are numerically expressed so that they allow for large variations in the material properties, without introducing notable non-physical oscillations over the interface. For the discretisation of the governing equations an edge-based vertex-centred finite volume approach is followed. The developed solver is applied to various test cases and demonstrated to be efficient and accurate.enFree-surface modellingVolume-of-fluidPredicted pressure loadsGas densitiesWeakly compressibleArticleHeyns, J. A., Malan, A., Harms, T., & Oxtoby, O. F. (2013). A weakly compressible free-surface flow solver for liquid–gas systems using the volume-of-fluid approach. http://hdl.handle.net/10204/6617Heyns, Johan A, AG Malan, TM Harms, and Oliver F Oxtoby "A weakly compressible free-surface flow solver for liquid–gas systems using the volume-of-fluid approach." (2013) http://hdl.handle.net/10204/6617Heyns JA, Malan A, Harms T, Oxtoby OF. A weakly compressible free-surface flow solver for liquid–gas systems using the volume-of-fluid approach. 2013; http://hdl.handle.net/10204/6617.TY - Article AU - Heyns, Johan A AU - Malan, AG AU - Harms, TM AU - Oxtoby, Oliver F AB - This paper presents a weakly compressible volume-of-fluid formulation for modelling immiscible high density ratio two-fluid flow under low Mach number conditions. This follows findings of experimental analyses that concluded the compressibility of the gas has a noteworthy effect on predicted pressure loads in liquid–gas flow in certain instances. With the aim of providing a more accurate numerical representation of dynamic two-fluid flow, the solver is subsequently extended to account for variations in gas densities. A set of governing equations is proposed, which accounts for the compressible properties of the gas phase in a manner which allows for a computationally efficient numerical simulation. Furthermore, the governing equations are numerically expressed so that they allow for large variations in the material properties, without introducing notable non-physical oscillations over the interface. For the discretisation of the governing equations an edge-based vertex-centred finite volume approach is followed. The developed solver is applied to various test cases and demonstrated to be efficient and accurate. DA - 2013-05 DB - ResearchSpace DP - CSIR KW - Free-surface modelling KW - Volume-of-fluid KW - Predicted pressure loads KW - Gas densities KW - Weakly compressible LK - https://researchspace.csir.co.za PY - 2013 SM - 0021-9991 T1 - A weakly compressible free-surface flow solver for liquid–gas systems using the volume-of-fluid approach TI - A weakly compressible free-surface flow solver for liquid–gas systems using the volume-of-fluid approach UR - http://hdl.handle.net/10204/6617 ER -