Premium
Finite element analysis of wave motion
Author(s) -
Kawahara Mutsuto,
Miwa Toshihiko
Publication year - 1984
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620200703
Subject(s) - finite element method , interpolation (computer graphics) , motion (physics) , position (finance) , mathematical analysis , eulerian path , mathematics , linear interpolation , function (biology) , free surface , classical mechanics , physics , mechanics , structural engineering , engineering , finance , lagrangian , evolutionary biology , polynomial , economics , biology
Abstract To estimate wave motion, the finite element method is presented based on the linear interpolation function and two‐step explicit numerical integration in time. For the determination of free surface position, the two‐step scheme based on the Eulerian technique is usefully employed. Travel and run‐up of solitary wave have been analysed and compared with the analytical solution. Both results are reasonably well in agreement. This method is applied to estimate the wave force on the practical breakwater to show the validity of the method.