Boundary element analysis of nonlinear water wave problems

Boundary element analysis of nonlinear water wave problems 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal for Numerical Methods in Engineering Wiley

Boundary element analysis of nonlinear water wave problems

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Publisher
Wiley
Copyright
Copyright © 1983 John Wiley & Sons, Ltd
ISSN
0029-5981
eISSN
1097-0207
D.O.I.
10.1002/nme.1620190702
Publisher site
See Article on Publisher Site

Abstract

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.

Journal

International Journal for Numerical Methods in EngineeringWiley

Published: Jul 1, 1983

References

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