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Science in China Series A: Mathematics

, Volume 40, Issue 6, pp 622–632 | Cite as

Effect of nonlinear wave-current interaction on flow fields and hydrodynamic forces

  • Tao Wang
  • Jiachun Li
Article

Abstract

A fifth-order theory for solving the problem of interaction between Stokes waves and exponential profile currents is proposed. The calculated flow fields are compared with measurements. Then the errors caused by the linear superposition method and approximate theory are discussed. It is found that the total wavccurrent field consists of pure wave, pure current and interaction components. The shear current not only directly changes the flow field, but also indirectly does so by changing the wave parameters due to wave-current interaction. The present theory can predict the wave kinematics on shear currents satisfactorily. The linear superposition method may give rise to more than 40% loading error in extreme conditions. When the apparent wave period is used and the Wheeler stretching method is adopted to extrapolate the current, application of the approximate theory is the best.

Keywords

Stokes wave exponential current nonlinear interaction 

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Copyright information

© Science in China Press 1997

Authors and Affiliations

  • Tao Wang
    • 1
  • Jiachun Li
    • 1
  1. 1.Institute of MechanicsChinese Academy of SciencesBeijingChina

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