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Numerical studies of 2D free surface waves with fixed bottom
Zhang, PW ; Zheng, XM
2002
关键词fixed bottom 2D surface wave boundary integral method linear analysis energy analysis RAYLEIGH-TAYLOR INSTABILITY POINT VORTEX METHOD GRAVITY-WAVES WATER-WAVES MOTION SHEET CONVERGENCE SIMULATION TENSION FLOWS
英文摘要The motion of surface waves under the effect of bottom is a very interesting and challenging phenomenon in the nature. we use boundary integral method to compute and analyze this problem. In the linear analysis, the linearized equations have bounded error increase under some compatible conditions. This contributes to the cancellation of instable Kelvin-Helmholtz terms. Under the effect of bottom, the existence of equations is hard to determine, but given some limitations it proves true. These limitations are that the swing of interfaces should be small enough, and the distance between surface and bottom should be large enough. In order to maintain the stability of computation, some compatible relationship must be satisfied like that of [5]. In the numerical examples, the simulation of standing waves and breaking waves are calculated. And in the case of shallow bottom, we found that the behavior of waves are rather singular.; Mathematics, Applied; Mathematics; SCI(E); 中国科学引文数据库(CSCD); 0; ARTICLE; 4; 391-412; 20
语种英语
出处SCI
出版者计算数学英文版
内容类型其他
源URL[http://hdl.handle.net/20.500.11897/388375]  
专题数学科学学院
推荐引用方式
GB/T 7714
Zhang, PW,Zheng, XM. Numerical studies of 2D free surface waves with fixed bottom. 2002-01-01.
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