Application of boundary integral equation method for modelling unsteady nonlinear water waves

Y. Z. Boutros, M. N. Anwar, A. H. Tewfick

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

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 method2 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 languageEnglish
Pages (from-to)11-15
Number of pages5
JournalApplied Mathematical Modelling
Volume10
Issue number1
DOIs
Publication statusPublished - Feb 1986
Externally publishedYes

Keywords

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

ASJC Scopus subject areas

  • Modelling and Simulation
  • Applied Mathematics

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