Numerical solution of a cavity problem under surface tension effect

Free-surface flow past two inclined plate is considered. The “Riabouchinsky model” has been chosen to close the cavitiy. The fluid is assumed to be inviscid and incompressible and the flow to be two dimensional, steady, and irrotational. Surface tension is included in the dynamic boundary conditions, but the effects of gravity are neglected. The problem is solved numerically using boundary integral equation techniques. More specifically, the numerical method used is based on an integro-differential equation reformulation. Numerical solutions are found for different values of the angle of inclination γ and for various values of the inverse Weber number δ.