Flow underlying coupled surface and internal waves

被引:15
|
作者
Henry, David [1 ]
Villari, Gabriele [2 ]
机构
[1] Univ Coll Cork, Sch Math Sci, Cork, Ireland
[2] Univ Firenze, Dipartimento Matemat & Informat Ulisse Dini, Viale Morgagni 67-A, I-50137 Florence, Italy
基金
爱尔兰科学基金会;
关键词
Internal waves; Surface waves; Particle trajectories; Phase portraits; LINEAR PERIODIC CAPILLARY; EQUATORIAL WATER-WAVES; PARTICLE TRAJECTORIES; VORTICITY; BENEATH;
D O I
10.1016/j.jde.2021.11.009
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this article we investigate the underlying fluid motion induced by internal water waves, coupled with surface waves, in a two fluid layer model. We employ a phase-plane approach to achieve a detailed Eulerian description of the underlying wave-field kinematics for linear travelling waves. Additionally, the qualitative motion of individual fluid particles is established by way of a Lagrangian analysis of the appropriate nonlinear dynamical systems. (c) 2021 Elsevier Inc. All rights reserved.
引用
收藏
页码:404 / 442
页数:39
相关论文
共 50 条
  • [1] Flow dynamics for coupled surface and internal deep-water waves
    David Henry
    Gabriele Villari
    Annali di Matematica Pura ed Applicata (1923 -), 2023, 202 : 711 - 736
  • [2] Flow dynamics for coupled surface and internal deep-water waves
    Henry, David
    Villari, Gabriele
    ANNALI DI MATEMATICA PURA ED APPLICATA, 2023, 202 (02) : 711 - 736
  • [3] INTERNAL WAVES COUPLED TO SURFACE GRAVITY WAVES IN THREE DIMENSIONS
    Craig, Walter
    Guyenne, Philippe
    Sulem, Catherine
    COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2015, 13 (04) : 893 - 910
  • [4] Coupled Ostrovsky equations for internal waves in a shear flow
    Alias, A.
    Grimshaw, R. H. J.
    Khusnutdinova, K. R.
    PHYSICS OF FLUIDS, 2014, 26 (12)
  • [5] Coupled Ostrovsky equations for internal waves, with a background shear flow
    Alias, A.
    Grimshaw, R. H. J.
    Khusnutdinova, K. R.
    IUTAM SYMPOSIUM ON NONLINEAR INTERFACIAL WAVE PHENOMENA FROM THE MICRO- TO THE MACRO-SCALE, 2014, 11 : 3 - 14
  • [6] Hamiltonian model for coupled surface and internal waves in the presence of currents
    Ivanov, Rossen
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2017, 34 : 316 - 334
  • [7] NONLINEAR SURFACE AND INTERNAL WAVES IN STRATIFIED SHEAR-FLOW
    ARTALE, V
    LEVI, D
    GEOPHYSICAL AND ASTROPHYSICAL FLUID DYNAMICS, 1990, 54 (1-2): : 35 - 48
  • [8] A coupled analysis approach for a moored floating structure subject to internal solitary waves and surface waves
    Wang, Junrong
    He, Kuang
    Xie, Botao
    He, Chunlei
    Wu, Wenbin
    OCEAN ENGINEERING, 2024, 306
  • [9] EXACT AZIMUTHAL INTERNAL WAVES WITH AN UNDERLYING CURRENT
    Hsu, Hung-Chu
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2017, 37 (08) : 4391 - 4398
  • [10] The coupled dynamics of internal waves and hairpin vortices in stratified plane Poiseuille flow
    Lloyd, C. J.
    Dorrell, R. M.
    Caulfield, C. P.
    JOURNAL OF FLUID MECHANICS, 2022, 934