A second generation finite difference method for treating free surface problems is described. Basically, a streamfunction-vorticity formulation for incompressible flow is used, but because of the free surface, a velocity potential function is also introduced. Surface momentum equations are integrated to provide time dependent surface boundary conditions for the streamfunction and velocity potential. The numerical method is applied to spreading of liquids over no-slip surfaces and includes nonlinear behavior.
By: J. Fromm
Published in: RJ3871 in 1983
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