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A Numerical Solution for Finite Amplitude Free Surface Waves
Author(s) -
Fangmeier D. D.
Publication year - 1970
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/wr006i004p01216
Subject(s) - free surface , computation , surface wave , mechanics , amplitude , nonlinear system , surface (topology) , stokes wave , gravity wave , boundary (topology) , boundary value problem , geology , breaking wave , wave propagation , physics , mathematical analysis , mathematics , geometry , optics , algorithm , quantum mechanics
A technique for the numerical solution of two‐dimensional potential flow with a free surface and gravity is presented. Its validity is demonstrated by application to wave generation by a pressure on a segment of the free surface of a ponded fluid. Wave profiles are obtained for the leading waves of progressive approximately periodic wave formations that show the effect of retaining the nonlinear terms in the free surface boundary conditions. The programing is relatively simple and the technique applicable to other wave forming situations. However, long computation times are required.