Abstract
First and second order finite difference approximations are used in the simulations of this study to generate progressive waves in a three dimensional numerical wave tank. Some segmented numerical wave makers are set at the left end of the tank which is considered as the wave generating end. Waves propagating at different angles with longitudinal axis are generated at this end and sent towards the right end of the tank which is treated as an open boundary. A velocity reduction technique is applied to reduce the vertical velocity within a zone named Velocity Reduction Zone (VRZ) adjacent to the open boundary. In order to control the fluid motion at the open boundary, Sommerfeld Radiation Condition (SRC) is applied on that reduced waves. The generated waves with first and second order computations are compared and the superiority of the second order approximations is discussed. An example of three dimensional wave generation is also presented in this paper.