A fully dispersive fifth order nonlinear wave model. I: Theoretical part

DOI

10.2991/iccahe-16.2016.136How to use a DOI?

Keywords

fully dispersive; nonlinear; wave propagation model; mild slope equations; Boussinesq-type eq-uations

Abstract

A fully dispersive fifth order nonlinear wave propagation model for mild current, water level and depth was established theoretically considering energy and topography factors. It satisfied both the frequency dispersion and nonlinearity. By omitting the 5th order terms, the lower order model was in consistency with the former 3rd order model. This model could be simplified to mild-slope type equations for deep water, to Boussinesq type equations for shallow water and to Airy wave for very shallow water.

Copyright

© 2016, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Y. Zhang
AU  - W.B. Feng
AU  - X.Q. Ji
AU  - M.M. Wang
PY  - 2016/10
DA  - 2016/10
TI  - A fully dispersive fifth order nonlinear wave model. I: Theoretical part
BT  - Proceedings of the 2016 5th International Conference on Civil, Architectural and Hydraulic Engineering (ICCAHE 2016)
PB  - Atlantis Press
SP  - 871
EP  - 878
SN  - 2352-5401
UR  - https://doi.org/10.2991/iccahe-16.2016.136
DO  - 10.2991/iccahe-16.2016.136
ID  - Zhang2016/10
ER  -