Three-Dimensional Ship Wave Generation Using an Efficient Finite Difference Scheme with Double Model Linearization
An efficient three-dimensional implicit finite difference scheme with a double model velocity linearization of the free surface conditions is used to model three-dimensional potential flow about an abruptly started surface piercing ship moving at constant speed in a channel of initially calm water. The numerical scheme is efficient with respect to both computer storage and time mainly due to the use of the direct matrix imbedding method. The double model velocity linearization should yield more accurate results, except perhaps for very high Froude numbers, than the standard free stream velocity linearization. With slight modification, the numerical scheme can compute flow about an accelerating ship. Computed results such as ship wave profiles and wave resistence for four different ship speeds are in generally good agreement with model test experiments. Contour and perspective plots of the generated ship waves are displayed.