The modulational theory of nonlinear gravity-wave in fluid with varying depth and nonuniform current |
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Authors: | Chen Yansheng Zhou Chinpu |
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Institution: | (1) Zhongshan University, Guangzhou, China |
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Abstract: | By means of WKB expansions, new fourth order evolution equations are derived for two-dimensional Stokes waves over the bottom
with arbitrary depth. The effects of slowly varying depthh=h(ε
2x) and currentU=U(ε
2x,ε2t,ε4z) on the evolution of a packet of Stokes waves are considered as well. In addition, numerical simulation is performed for
the evolution of single envelope by finite-difference method.
Project supported by National Natural Science Foundation of China and Centre of Advanced Academic Research of Zhongshan University. |
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Keywords: | Stokes wavepacket WKB expansion mean flow evolution equation |
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