Piecewise linear interface-capturing volume-of-fluid method in axisymmetric cylindrical coordinates

The paper describes a novel implementation of the piecewise linear interface-capturing volume-of-fluid method (PLIC-VOF) in axisymmetric cylindrical coordinates. principal innovative feature involved this work is that both forward and inverse reconstruction problems are solved analytically, resulting an appreciable speed-up computing time comparison with iterative approach. All formulae introduced explicitly, example illustrating their derivation included for clarity. numerical PLIC-VOF interface tracking developed here described detail, as well its coupling 3D incompressible Navier-Stokes solver PSI-BOIL, which features finite-volume approach based on fixed, rectangular grid. This includes to calculate surface tension force within VOF framework by means height functions. first verified ensure correct code, evaluate performance, several advection tests employed demonstrate successful solution basic transport problem. It shown convergence equilibrium may be achieved static problems, involving control parasitic currents, variety grid arrangements, different material properties. Several dam-break rising bubble high-quality measured data available, also presented serve validation tests. In all cases, very good agreement simulation results experimental has been recorded, dynamics problem reproduced.