
handle: 11588/461533 , 20.500.14243/120044
An iterative finite difference technique is developed to simulate the free surface flow in a two-dimensional liquid sheet under gravity. The technique is based on an orthogonal boundary-fitted coordinate transformation; the streamfunction-vorticity formulation is adopted. The normal stress boundary condition is employed to update the free interface shape within the iterative process. Computed results agree well with data available in the literature for flows with and without gravity.
grid generation, Newtonian fluids, Navier-Stokes equations for incompressible viscous fluids, Finite difference methods applied to problems in fluid mechanics, iterative technique, Finite difference technique, free boundary problems, surface tension, streamfunction-vorticity formulation, normal stress boundary condition, free surface flow, orthogonal boundary-fitted coordinate transformation, jet swell problem
grid generation, Newtonian fluids, Navier-Stokes equations for incompressible viscous fluids, Finite difference methods applied to problems in fluid mechanics, iterative technique, Finite difference technique, free boundary problems, surface tension, streamfunction-vorticity formulation, normal stress boundary condition, free surface flow, orthogonal boundary-fitted coordinate transformation, jet swell problem
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