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Tests and Applications of An Approach to Absorbing Reflected Waves Towards Incident Boundary
Authors:ZHANG Hong-sheng  WANG Yan  XU Chun-Hui  SHANG Hui and YU Xiao-wei
Institution:College of Ocean Environment and Engineering, Shanghai Maritime University;College of Ocean Environment and Engineering, Shanghai Maritime University;College of Ocean Environment and Engineering, Shanghai Maritime University;State Key Laboratory of Ocean Engineering, Shanghai JiaoTong University;State Key Laboratory of Ocean Engineering, Shanghai JiaoTong University
Abstract:If the upstream boundary conditions are prescribed based on the incident wave only, the time-dependent numerical models cannot effectively simulate the wave field when the physical or spurious reflected waves become significant. This paper describes carefully an approach to specifying the incident wave boundary conditions combined with a set sponge layer to absorb the reflected waves towards the incident boundary. Incorporated into a time-dependent numerical model, whose governing equations are the Boussinesq-type ones, the effectiveness of the approach is studied in detail. The general boundary conditions, describing the down-wave boundary conditions are also generalized to the case of random waves. The numerical model is in detail examined. The test cases include both the normal one-dimensional incident regular or random waves and the two-dimensional oblique incident regular waves. The calculated results show that the present approach is effective on damping the reflected waves towards the incident wave boundary.
Keywords:incident boundary  sponge layer  reflected  waves  Boussinesq-type model  general  boundary conditions
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