COMPUTATIONS OF STEEP GRAVITY-WAVES BY A REFINEMENT OF DAVIES-TULINS APPROXIMATION

Water waves in water of arbitrary depth and solitary saves are calcula ted numerically using new series truncation methods. The techniques us e a refinement of Davies' approximation first proposed by Tulin. Accur ate numerical solutions are obtained for all values of the steepness u p to the limiting configuration with a 120 degrees angle at the wave c rest. It is shown that the proposed numerical procedure is equivalent to the method of Havelock. The method of Michell is included as a part icular case. A comparison with previous numerical methods, such as bou ndary integral equation techniques, is given.