Open AccessNEW EQUATION OF SURFACE ELEVATION IN WAVE MOTION
Author(s) -
Y.C. Ouyang,
Y.Y. Chen,
Frederick L.W. Tang
Publication year - 1982
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.v18.33
Subject(s) - trigonometric functions , elevation (ballistics) , function (biology) , trigonometry , nonlinear system , series (stratigraphy) , mathematical analysis , motion (physics) , surface (topology) , stokes wave , mathematics , stream function , trigonometric series , wave equation , geology , mechanics , geometry , classical mechanics , physics , wave propagation , optics , breaking wave , paleontology , quantum mechanics , evolutionary biology , biology , vorticity , vortex
A nonlinear solution of wave profile equation directly derived from stream function is submitted. In stead of expressing by trigonometric series to approach the real solution, implicit function is adopted. In the era of electronic computer, Such an expression wi11 be convenient for practical utilization. Equations in either deep water or in finite water depth are worked out. They are proved more reasonable in graphical shape of wave profile and consistent in the continuity of wave celerity in various depth in comparison with Stokes theory.