Solitary interfacial hydroelastic waves

被引：7
|
作者：
Parau, Emilian I. [1 ]
机构：
[1] Univ East Anglia, Sch Math, Norwich NR4 7TJ, Norfolk, England
来源：
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2018年 / 376卷 / 2111期
基金：
英国工程与自然科学研究理事会;
关键词：
solitary waves; interfacial; hydroelastic; DEEP-WATER; NUMERICAL COMPUTATION; FINITE-AMPLITUDE; WELL-POSEDNESS; FLUID; CHALLENGES; PLATE;
D O I：
10.1098/rsta.2017.0099
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
Solitary waves travelling along an elastic plate present between two fluids with different densities are computed in this paper. Different two-dimensional configurations are considered: the upper fluid can be of infinite extent, bounded by a rigid wall or under a second elastic plate. The dispersion relation is obtained for each case and numerical codes based on integro-differential formulations for the full nonlinear problem are derived. This article is part of the theme issue 'Nonlinear water waves'.
引用
收藏
页数：11
相关论文
共 50 条
  • [1] Hydroelastic solitary waves with constant vorticity
    Gao, Tao
    Milewski, Paul
    Vanden-Broeck, Jean-Marc
    WAVE MOTION, 2019, 85 : 84 - 97
  • [2] Hydroelastic solitary waves in deep water
    Milewski, Paul A.
    Vanden-Broeck, J-M.
    Wang, Zhan
    JOURNAL OF FLUID MECHANICS, 2011, 679 : 628 - 640
  • [3] Spatial Dynamics and Solitary Hydroelastic Surface Waves
    R. Ahmad
    M. D. Groves
    Water Waves, 2024, 6 : 5 - 47
  • [4] Variational existence theory for hydroelastic solitary waves
    Groves, Mark D.
    Hewer, Benedikt
    Wahlen, Erik
    COMPTES RENDUS MATHEMATIQUE, 2016, 354 (11) : 1078 - 1086
  • [5] Spatial Dynamics and Solitary Hydroelastic Surface Waves
    Ahmad, R.
    Groves, M. D.
    WATER WAVES, 2024, 6 (01) : 5 - 47
  • [6] New hydroelastic solitary waves in deep water and their dynamics
    Gao, T.
    Wang, Z.
    Vanden-Broeck, J. -M.
    JOURNAL OF FLUID MECHANICS, 2016, 788 : 469 - 491
  • [7] BROADENING OF INTERFACIAL SOLITARY WAVES
    TURNER, REL
    VANDENBROECK, JM
    PHYSICS OF FLUIDS, 1988, 31 (09) : 2486 - 2490
  • [8] Periodic traveling interfacial hydroelastic waves with or without mass
    Akers, Benjamin F.
    Ambrose, David M.
    Sulon, David W.
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2017, 68 (06):
  • [9] Periodic traveling interfacial hydroelastic waves with or without mass
    Benjamin F. Akers
    David M. Ambrose
    David W. Sulon
    Zeitschrift für angewandte Mathematik und Physik, 2017, 68
  • [10] Computations of fully nonlinear hydroelastic solitary waves on deep water
    Guyenne, Philippe
    Parau, Emilian I.
    JOURNAL OF FLUID MECHANICS, 2012, 713 : 307 - 329
12345