Abstract
A modified partial-cell method, SAMPAC, is presented to numerically calculate the time-dependent, viscous, incompressible flow of a fluid with a free surface. Lagrangian marker particles and partial cells are used to delineate the free surface, refine the surface velocity calculation, and enforce rigorous mass conservation in fluid. The axisymmetric Navier-Stokes equations are solved by a time-average, central-space differencing scheme that gives second-order accuracy to the computation, while the pressure field is found through direct matrix inversion. The versatility and accuracy of the method are illustrated in three sample calculations, which demonstrate satisfactory agreement with experimental and analytical results.
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