Numerical simulation of surface waves instability on a homogeneous grid

PHYSICA D-NONLINEAR PHENOMENA

卷:321

Article

Korotkevich, Alexander O.^1,2  Dyachenko, Alexander I.^2,5  Zakharov, Vladimir E.^2,3,4,5,6 

[1] Univ New Mexico, 1 Univ New Mexico, Dept Math & Stat, MSCO1 1115, Albuquerque, NM 87131 USA

[2] LD Landau Inst Theoret Phys, 2 Kosygin Str, Moscow 119334, Russia

[3] Univ Arizona, Dept Math, Tucson, AZ 85721 USA

[4] PN Lebedev Phys Inst, 53 Leninskiy Prospekt, Moscow 119334, Russia

[5] Novosibirsk State Univ, Lab Nonlinear Wave Proc, Novosibirsk, Russia

[6] Waves & Solitons LLC, 738 W Sereno Dr, Gilbert, AZ USA

关键词: Water waves;    Numerical simulation;    Weak turbulence;   

DOI  :  10.1016/j.physd.2016.02.017

来源: Elsevier

【 摘 要 】

We performed full-scale numerical simulation of instability of weakly nonlinear waves on the surface of deep fluid. We show that the instability development leads to chaotization and formation of wave turbulence. Instability of both propagating and standing waves was studied. We separately studied pure capillary wave, that was unstable due to three-wave interactions and pure gravity waves, that were unstable due to four-wave interactions. The theoretical description of instabilities in all cases is included in the article. The numerical algorithm used in these and many other previous simulations performed by the authors is described in detail. (C) 2016 Elsevier B.V. All rights reserved.

【 授权许可】

Free