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Volume of fluid(VOF) method is a sharp interface method employed forsimulations of two phase flows. Interface in VOF is usually represented usingpiecewise linear line segments in each computational grid based on the volumefraction field. While VOF for cartesian coordinates conserve mass exactly,existing algorithms do not show machine-precision mass conservation foraxisymmetric coordinate systems. In this work, we propose analytic formulae forinterface reconstruction in axisymmetric coordinates, similar to those proposedby Scardovelli and Zaleski (J. Comput. Phys. 2000) for cartesian coordinates.We also propose modifications to the existing advection schemes in VOF foraxisymmetric coordinates to obtain higher accuracy in mass conservation

Interface reconstruction and advection schemes for volume of fluid method in axisymmetric coordinates