Nonlinear surface waves interacting with a linear shear current

  • Wooyoung Choi
  • Published 2009 in Mathematics and Computers in Simulation


To describe the evolution of fully nonlinear surface gravity waves in a linear shear current, a closed system of exact evolution equations for the free surface elevation and the free surface velocity potential is derived using a conformal mapping technique. Traveling wave solutions of the system are obtained numerically and it is found that the maximum wave… (More)
DOI: 10.1016/j.matcom.2009.06.021

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