## Abstract

A method has recently been developed for the numerical study of deformation of steep surface waves propagating in water of infinite depth. The approach was to trace the time evolution of the free surface after solving an integral equation for the normal component of the velocity potential. Such a solution depends on lengthy computations involving Lagrangian interpolating polynomials. The present work modifies this approach by adopting the boundary integral equation method^{2} for the determination of the normal component of velocity. Numerical experiments are presented for different initial wave profiles, and results are compared for the two methods.

Original language | English |
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Pages (from-to) | 11-15 |

Number of pages | 5 |

Journal | Applied Mathematical Modelling |

Volume | 10 |

Issue number | 1 |

DOIs | |

Publication status | Published - Feb 1986 |

Externally published | Yes |

## Keywords

- boundary integral equation method
- mathematical model
- nonlinear water waves

## ASJC Scopus subject areas

- Modelling and Simulation
- Applied Mathematics