A Technique for Open Boundary Treatment in Numerical Wave Tanks

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This paper presents a technique for open boundary treatment in numerical wave tanks. In the present study regular progressive waves are generated at the left end of a two-dimensional tank and sent towards the right end of the tank which is considered as the open or radiation boundary. Vertical velocity is reduced exponentially inside the velocity reduction zone (VRZ) which is adjacent to the right end of the tank. Then Sommerfeld radiation condition (SRC) is applied at the right boundary. The influence of the length of VRZ and the velocity reduction function is studied. The performance of the tank with the proposed technique for open boundary treatment is evaluated by kinetic energy, fluctuation of wave train and repeatability of the wave profile. It is found from the study that : (1) Sommerfeld radiation condition cannot be applied alone for open boundary treatment in numerical computation. (2) Reduction of vertical velocity is necessary before applying SRC. (3) A suitable combination of the length of VRZ and velocity reduction function is required for steady simulation.
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