Evolution of water wave groups with wind action

被引:5
|
作者
Maleewong, Montri [1 ]
Grimshaw, Roger [2 ]
机构
[1] Kasetsart Univ, Fac Sci, Dept Math, Bangkok 10900, Thailand
[2] UCL, Dept Math, London WC1E 6BT, England
关键词
wind-wave interactions; NONLINEAR SCHRODINGER-EQUATION; AMPLIFICATION; GENERATION; GROWTH;
D O I
10.1017/jfm.2022.675
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
A modified fully nonlinear model of an air-water system in deep water is presented in which the effect of wind in the air is simply represented by a direct link between the air-water interface pressure and the interface slope. The water system is a fully nonlinear Euler model of incompressible and irrotational fluid flow. Our main aim is to establish and compare with a reduced model represented by a forced nonlinear Schrodinger (FNLS) equation that describes wave groups in a weakly nonlinear asymptotic limit. Wave groups are described by the soliton and breather solutions generated by four cases of initial conditions in the relevant parameter regime. Numerical simulations of wave group formation in both models are compared, both with and without wind forcing. The FNLS model gives a good prediction to the modified fully nonlinear model when the wavenumber and wave frequency of the initial carrier waves are close to unity in dimensionless units based on typical carrier wavenumber and wave frequency. Wind forcing induces an exponential growth rate in the maximum amplitude wave. When the wave steepness becomes high in the fully nonlinear model some wave breaking is observed, but the FNLS model continues to predict large waves without breaking and there is then agreement only in the initial stage for the relevant initial conditions and parameter value ranges.
引用
收藏
页数:25
相关论文
共 50 条
  • [1] Evolution of water wave groups with wind action
    Maleewong, Montri
    Grimshaw, Roger
    Journal of Fluid Mechanics, 2022, 947
  • [2] Evolution of wind-induced wave groups in water of finite depth
    Maleewong, Montri
    Grimshaw, Roger
    JOURNAL OF FLUID MECHANICS, 2024, 985
  • [3] Evolution of water wave packets by wind in shallow water
    Maleewong, Montri
    Grimshaw, Roger
    JOURNAL OF FLUID MECHANICS, 2024, 996
  • [4] Evolution of Water Wave Groups in the Forced Benney-Roskes System
    Maleewong, Montri
    Grimshaw, Roger H. J.
    FLUIDS, 2023, 8 (02)
  • [5] MODELING OF THE WIND WAVE EVOLUTION
    EFIMOV, VV
    POLNIKOV, VG
    DOKLADY AKADEMII NAUK SSSR, 1984, 276 (03): : 721 - 724
  • [6] Unsteady evolution of localized unidirectional deep-water wave groups
    Cousins, Will
    Sapsis, Themistoklis P.
    PHYSICAL REVIEW E, 2015, 91 (06):
  • [7] Spatially evolving regular water wave under the action of steady wind forcing
    Shemer, Lev
    Singh, Santosh Kumar
    PHYSICAL REVIEW FLUIDS, 2021, 6 (03)
  • [8] On the threshold for wave breaking of two-dimensional deep water wave groups in the absence and presence of wind
    Saket, Arvin
    Peirson, William L.
    Banner, Michael L.
    Barthelemy, Xavier
    Allis, Michael J.
    JOURNAL OF FLUID MECHANICS, 2017, 811 : 642 - 658
  • [9] Evolution of Persistent Wave Groups
    Smith, Jerome A.
    Brulefert, Coralie
    JOURNAL OF PHYSICAL OCEANOGRAPHY, 2010, 40 (01) : 67 - 84
  • [10] Evolution of wave groups on slope
    Dong, GH
    Ma, XZ
    Teng, B
    Zhao, M
    PROCEEDINGS OF THE THIRTEENTH (2003) INTERNATIONAL OFFSHORE AND POLAR ENGINEERING CONFERENCE, VOL 3, 2003, : 385 - 391