Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5500526 | Wave Motion | 2017 | 29 Pages |
Abstract
The Irrotational Green-Naghdi (IGN) equations are categorized into different levels. The low-level IGN equations can be used in the propagation of weakly dispersive and strongly nonlinear waves. On the other hand, high-level IGN equations can deal with strongly dispersive and strongly nonlinear waves. We focus here on the simulations of the steady solutions of nonlinear periodic waves by a low-level IGN (IGN-2) equations and high-level IGN (IGN-4 and IGN-8) equations. In numerical tests, results of wave speed, wave profile and velocity distribution are given for finite-depth water waves and for four different wave lengths as well as for large amplitude deep water waves. By comparing the simulation results, high-level equations are shown to be in better agreement with an accurate theory, namely the stream function wave theory.
Keywords
Related Topics
Physical Sciences and Engineering
Earth and Planetary Sciences
Geology
Authors
W.Y. Duan, K. Zheng, B.B. Zhao, R.C. Ertekin,