Run-up of non-breaking double solitary waves with equal wave heights on a plane beach  

作　　者：董杰 王本龙 刘桦 

机构地区：[1]School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University [2]School of Naval Architecture, Ocean and Civil Engineering, MOE Key Laboratory of Hydrodynamics, Shanghai Jiao Tong University

出　　处：《Journal of Hydrodynamics》2014年第6期939-950,共12页水动力学研究与进展B辑（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Grant No.51379123);the Natural Science Foundation of Shanghai Municipality(Grant No.11ZR1418200);the Shanghai Water Authority and the State Key Laboratory of Ocean Engineering,Shanghai Jiao Tong University(Grant No.GKZD010063)

摘　　要：The evolution and run-up of double solitary waves on a plane beach were studied numerically using the nonlinear shallow water equations（NSWEs） and the Godunov scheme. The numerical model was validated through comparing the present numerical results with analytical solutions and laboratory measurements available for propagation and run-up of single solitary wave. Two successive solitary waves with equal wave heights and variable separation distance of two crests were used as the incoming wave on the open boundary at the toe of a slope beach. The run-ups of the first wave and the second wave with different separation distances were investigated. It is found that the run-up of the first wave does not change with the separation distance and the run-up of the second wave is affected slightly by the separation distance when the separation distance is gradually shortening. The ratio of the maximum run-up of the second wave to one of the first wave is related to the separation distance as well as wave height and slope. The run-ups of double solitary waves were compared with the linearly superposed results of two individual solitary-wave run-ups. The comparison reveals that linear superposition gives reasonable prediction when the separation distance is large, but it may overestimate the actual run-up when two waves are close.The evolution and run-up of double solitary waves on a plane beach were studied numerically using the nonlinear shallow water equations（NSWEs） and the Godunov scheme. The numerical model was validated through comparing the present numerical results with analytical solutions and laboratory measurements available for propagation and run-up of single solitary wave. Two successive solitary waves with equal wave heights and variable separation distance of two crests were used as the incoming wave on the open boundary at the toe of a slope beach. The run-ups of the first wave and the second wave with different separation distances were investigated. It is found that the run-up of the first wave does not change with the separation distance and the run-up of the second wave is affected slightly by the separation distance when the separation distance is gradually shortening. The ratio of the maximum run-up of the second wave to one of the first wave is related to the separation distance as well as wave height and slope. The run-ups of double solitary waves were compared with the linearly superposed results of two individual solitary-wave run-ups. The comparison reveals that linear superposition gives reasonable prediction when the separation distance is large, but it may overestimate the actual run-up when two waves are close.

关 键 词：RUN-UP double solitary waves nonlinear shallow water equations（NSWEs） 

分 类 号：P731.2[天文地球—海洋科学]