A numerical method for two-dimensional stern wave problems is developed by use of a time-dependent stream function. Fully nonlinear dynamic and kinematic free surface conditions are employed. The governing equations and the boundary conditions are expressed in finite-difference forms in a boundary-fitted curvilinear coordinate system. Present method has potentiality to explain viscous effects on the stern waves by including vorticity.
Preliminary computational tests are carried out in order to refine the computational scheme. Some computed results of the potential flow past a semi-infinite flat-bottomed body with a transom stern are presented and the viscous effect is discussed by comparing the calculated inviscid results with the measured.