| NUMERICAL STUDIES OF 2D FREE SURFACE WAVES WITH FIXED BOTTOM |
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| 引用本文： | Ping-wen Zhang (School of Mathematics Sciences,Peking University,Beijing,100871,China)Xiaoming Zheng (Department of AMS,State University of New York,Stony Brook,NY 11794-3600,USA). NUMERICAL STUDIES OF 2D FREE SURFACE WAVES WITH FIXED BOTTOM[J]. 计算数学(英文版), 2002, 0(4) |
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| 作者姓名： | Ping-wen Zhang (School of Mathematics Sciences Peking University Beijing 100871 China)Xiaoming Zheng (Department of AMS State University of New York Stony Brook NY 11794-3600 USA) |
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| 作者单位： | Ping-wen Zhang (School of Mathematics Sciences，Peking University，Beijing，100871，China)Xiaoming Zheng (Department of AMS，State University of New York，Stony Brook，NY 11794-3600，USA) |
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| 基金项目： | Supported by the Special Funds for Major State Basic Research Projects of China G1999032804，the National Natural Science Foundation of China. |
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| 摘 要： | AbstractThe 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.
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NUMERICAL STUDIES OF 2D FREE SURFACE WAVES WITH FIXED BOTTOM |
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| Ping-wen Zhang. NUMERICAL STUDIES OF 2D FREE SURFACE WAVES WITH FIXED BOTTOM[J]. Journal of Computational Mathematics, 2002, 0(4) |
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| Authors: | Ping-wen Zhang |
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| Abstract: | 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. |
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| Keywords: | Fixed bottom 2D surface wave Boundary integral method Linear analysis Energy analysis |
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