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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