Modelling of nonlinear surface gravity waves under shallow-water conditions with account of dispersion

被引:1
|
作者
Abbasov, Iftikhar B. [1 ]
机构
[1] So Fed Univ, Taganrog Inst Technol, Taganrog 347928, Russia
关键词
LONG WAVES; EVOLUTION;
D O I
10.1080/17455030.2010.500702
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The modelling of nonlinear surface gravity waves under shallow-water conditions with account of dispersion is described in this study. On the basis of the analytic expressions obtained for the horizontal velocity of medium particles, the profile evolution of nonlinear surface gravity waves during its propagation under shallow-water conditions is described. The profiles of surface gravity waves during their propagation in the bay with account of dispersion are given.
引用
收藏
页码:13 / 22
页数:10
相关论文
共 49 条
  • [41] Oil slicks on water surface: Breakup, coalescence, and droplet formation under breaking waves
    Nissanka, Indrajith D.
    Yapa, Poojitha D.
    MARINE POLLUTION BULLETIN, 2017, 114 (01) : 480 - 493
  • [42] Numerical Investigation On Spectrum Evolution Of Narrow-Banded Random Waves In Shallow Water Based On KdV And Fully Nonlinear Model
    Wang, Jinghua
    Ma, Q. W.
    Yan, Shiqiang
    PROCEEDINGS OF THE ASME 35TH INTERNATIONAL CONFERENCE ON OCEAN, OFFSHORE AND ARCTIC ENGINEERING , 2016, VOL 1, 2016,
  • [43] Solitary wave solutions and their interactions for fully nonlinear water waves with surface tension in the generalized Serre equations
    Dutykh, Denys
    Hoefer, Mark
    Mitsotakis, Dimitrios
    THEORETICAL AND COMPUTATIONAL FLUID DYNAMICS, 2018, 32 (03) : 371 - 397
  • [44] Modified three-dimensional nonlinear Schrödinger equation in finite water depth for gravity waves with influence of slowly varying currents
    Liao, Bo
    Wang, Zhihua
    PHYSICS OF FLUIDS, 2024, 36 (10)
  • [45] Long waves with a small amplitude on the surface of the water behave dynamically in nonlinear lattices on a non-dimensional grid
    Khater, Mostafa M. A.
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2023, 37 (19):
  • [46] Lump and hybrid solutions for a (3+1)-dimensional Boussinesq-type equation for the gravity waves over a water surface
    Feng, Chun-Hui
    Tian, Bo
    Yang, Dan-Yu
    Gao, Xiao-Tian
    CHINESE JOURNAL OF PHYSICS, 2023, 83 : 515 - 526
  • [47] Novel solitary wave solution in shallow water and ion acoustic plasma waves in-terms of two nonlinear models via MSE method
    Roshid, Harun-Or
    JOURNAL OF OCEAN ENGINEERING AND SCIENCE, 2017, 2 (03) : 196 - 202
  • [48] Delta-shaped basis functions-pseudospectral method for numerical investigation of nonlinear generalized equal width equation in shallow water waves
    Oruc, Omer
    WAVE MOTION, 2021, 101
  • [49] Comparison between the Employment of a Multibeam Echosounder on an Unmanned Surface Vehicle and Traditional Photogrammetry as Techniques for Documentation and Monitoring of Shallow-Water Cultural Heritage Sites: A Case Study in the Bay of Algeciras
    Rubio, Soledad Solana
    Romero, Alberto Salas
    Andreo, Felipe Cerezo
    Gallero, Raul Gonzalez
    Rengel, Juan
    Rioja, Luis
    Callejo, Joaquin
    Bethencourt, Manuel
    JOURNAL OF MARINE SCIENCE AND ENGINEERING, 2023, 11 (07)