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The modulational theory of nonlinear gravity-wave in fluid with varying depth and nonuniform current

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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.

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Authors and Affiliations

  1. Zhongshan University, Guangzhou, China

    Chen Yansheng & Zhou Chinpu

Authors
  1. Chen Yansheng
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  2. Zhou Chinpu
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Additional information

Project supported by National Natural Science Foundation of China and Centre of Advanced Academic Research of Zhongshan University.

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Yansheng, C., Chinpu, Z. The modulational theory of nonlinear gravity-wave in fluid with varying depth and nonuniform current. Acta Mech Sinica 7, 12–20 (1991). https://doi.org/10.1007/BF02486591

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  • DOI: https://doi.org/10.1007/BF02486591

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