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Boundary element analysis of nonlinear water wave problems
Author(s) -
Nakayama Tsukasa
Publication year - 1983
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.1620190702
Subject(s) - inviscid flow , conservative vector field , nonlinear system , boundary element method , compressibility , boundary value problem , potential flow , velocity potential , mathematical analysis , mathematics , finite element method , mechanics , geology , physics , engineering , structural engineering , quantum mechanics
A new boundary element technique based on Green's formula is applied to the analysis of nonlinear water wave problems. The problems are formulated mathematically as two‐dimensional nonlinear initial‐boundary value problems in terms of a velocity potential, assuming the fluid to be inviscid and incompressible, and the flow to be irrotational. In the present paper, two kinds of wave‐making problems are analysed: (1) a tsunami generated by sea bed elevation; (2) generation, propagation and run‐up on a vertical wall of a solitary wave. Numerical results obtained by the present method are compared with available experimental data and analytical solutions. Excellent agreements are obtained.