TY - JOUR
T1 - Numerical simulation of surface waves instability on a homogeneous grid
AU - Korotkevich, Alexander O.
AU - Dyachenko, Alexander I.
AU - Zakharov, Vladimir E.
N1 - Funding Information:
ZVE was partially supported by the NSF grant 1130450 .
Funding Information:
Both DAI and ZVE were supported by the Russian Scientific Foundation grant 14-22-00174 . In particular, with this support growth rates for four- and three-wave interactions were calculated.
Funding Information:
KAO was supported by the National Science Foundation grant OCE 1131791 , and during the summer visit partially supported by the grant NSh-6885.2010.2 . The condition for iterations stability and Appendix C were derived with support of the Russian Scientific Foundation grant 14-22-00259 .
Publisher Copyright:
© 2016 Elsevier B.V. All rights reserved.
PY - 2016/5/1
Y1 - 2016/5/1
N2 - 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.
AB - 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.
KW - Numerical simulation
KW - Water waves
KW - Weak turbulence
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U2 - 10.1016/j.physd.2016.02.017
DO - 10.1016/j.physd.2016.02.017
M3 - Article
AN - SCOPUS:84962343466
VL - 321-322
SP - 51
EP - 66
JO - Physica D: Nonlinear Phenomena
JF - Physica D: Nonlinear Phenomena
SN - 0167-2789
ER -