Improved Algorithm for Stream Function Wave Theory

Abstract

The theoretical prediction of water particle kinematics and pressure field under a progressive periodic wave in the laboratory requires the use of a suitable wave theory. An improved asymmetric stream function algorithm is proposed to represent measured periodic wave data. Numerical simulation for the periodic wave profile, in a least square error approximation to the free surface boundary condition errors, converges to the measured wave height and the mean water level. This algorithm essentially combines most computational features of Dean's irregular stream function program and Dalrymple's regular symmetric stream function program. The present algorithm is more accurate than the symmetric and asymmetric wave theories in the simulation of measured periodic wave profiles.