Kadomtsev–Petviashvili type equation for entire range of relative water depths
作者： Serdar Beji
DOI: 10.1080/21664250.2018.1436241
关键词:
摘要: ABSTRACTA Kadomtsev–Petviashvili type equation valid for the entire range of relative water depths; namely, shallow, intermediate, and deep, is derived. The new capable simulating shallow cnoidal waves deep second-order Stokes equally well besides accounting wave shoaling due to varying depths. Linear properties unidirectional sinusoidal are in complete agreement with energy flux concept. A finite-difference scheme adopted numerical solution demonstrate its performance against test cases wide possible applications.
sci-hub.se 参考文章(23)
J.C.W. Berkhoff, Computation of Combined Refraction — Diffraction Coastal Engineering Proceedings. ,vol. 1, pp. 23- 23 ,(1972) , 10.9753/ICCE.V13.23
Ayadi Mekki, Maâtoug Mohamed Ali, Numerical simulation of Kadomtsev-Petviashvili-Benjamin-Bona-Mahony equations using finite difference method Applied Mathematics and Computation. ,vol. 219, pp. 11214- 11222 ,(2013) , 10.1016/J.AMC.2013.04.039
D. H. Peregrine, Long waves on a beach Journal of Fluid Mechanics. ,vol. 27, pp. 815- 827 ,(1967) , 10.1017/S0022112067002605
D. J. Korteweg, G. de Vries, XLI. On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves Philosophical Magazine Series 1. ,vol. 39, pp. 422- 443 ,(1895) , 10.1080/14786449508620739
S. Beji, K. Nadaoka, A time–dependent nonlinear mild slope equation for water waves Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences. ,vol. 453, pp. 319- 332 ,(1997) , 10.1098/RSPA.1997.0018
Model Equations for Long Waves in Nonlinear Dispersive Systems Philosophical Transactions of the Royal Society A. ,vol. 272, pp. 47- 78 ,(1972) , 10.1098/RSTA.1972.0032
Wenwen Li, Harry Yeh, Yuji Kodama, None, On the Mach reflection of a solitary wave: revisited Journal of Fluid Mechanics. ,vol. 672, pp. 326- 357 ,(2011) , 10.1017/S0022112010006014
Harry Yeh, Wenwen Li, Yuji Kodama, None, Mach reflection and KP solitons in shallow water European Physical Journal-special Topics. ,vol. 185, pp. 97- 111 ,(2010) , 10.1140/EPJST/E2010-01241-0
Bao-Feng Feng, Taketomo Mitsui, A finite difference method for the Korteweg-de Vries and the Kadomtsev-Petviashvili equations Journal of Computational and Applied Mathematics. ,vol. 90, pp. 95- 116 ,(1998) , 10.1016/S0377-0427(98)00006-5
K. Nadaoka, S. Beji, Y. Nakagawa, A fully dispersive weakly nonlinear model for water waves Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences. ,vol. 453, pp. 303- 318 ,(1997) , 10.1098/RSPA.1997.0017