Open AccessSTEEP UNSTEADY WATER WAVES: AN EFFICIENT COMPUTATIONAL SCHEME
Author(s) -
J. W. Dold,
D. H. Peregrine
Publication year - 1984
Publication title -
proceedings of conference on coastal engineering/proceedings of ... conference on coastal engineering
Language(s) - English
Resource type - Journals
eISSN - 2156-1028
pISSN - 0589-087X
DOI - 10.9753/icce.v19.65
Subject(s) - scheme (mathematics) , motion (physics) , boundary (topology) , surface (topology) , cauchy distribution , free surface , mechanics , mathematics , computer science , mathematical analysis , classical mechanics , physics , geometry
A new method for computing the unsteady motion of a water surface, including the overturning of water waves as they break, has been developed. It is based on a Cauchy theorem boundary integral for the evaluation of multiple time derivatives of the surface motion. The numerical implementation of the method is efficient, accurate and stable.