On the enclosed crest angle of the limiting profile of standing waves

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Abstract

We derive local solutions of standing waves analytically. They show that the enclosed crest angle of the limiting standing wave is 90° and the limiting wave has a sharp corner only at a certain instant when the velocity in the whole region is zero. We have found that the crest of the limiting wave is not a singular point but a saddle point for pressure distribution.

Original languageEnglish
Pages (from-to)79-87
Number of pages9
JournalWave Motion
Volume28
Issue number1
DOIs
Publication statusPublished - Jul 1998

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Physics and Astronomy(all)
  • Computational Mathematics
  • Applied Mathematics

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