The Dynamics of Flat Surface Internal Geophysical Waves with Currents

Alan Compelli; Rossen I. Ivanov

doi:10.1007/s00021-016-0283-4

The Dynamics of Flat Surface Internal Geophysical Waves with Currents

Alan Compelli, Rossen I. Ivanov

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

Abstract

A two-dimensional water wave system is examined consisting of two discrete incompressible fluid domains separated by a free common interface. In a geophysical context this is a model of an internal wave, formed at a pycnocline or thermocline in the ocean. The system is considered as being bounded at the bottom and top by a flatbed and wave-free surface respectively. A current profile with depth-dependent currents in each domain is considered. The Hamiltonian of the system is determined and expressed in terms of canonical wave-related variables. Limiting behaviour is examined and compared to that of other known models. The linearised equations as well as long-wave approximations are presented.

Original language	English
Pages (from-to)	329-344
Number of pages	16
Journal	Journal of Mathematical Fluid Mechanics
Volume	19
Issue number	2
DOIs	https://doi.org/10.1007/s00021-016-0283-4
Publication status	Published - 1 Jun 2017

Keywords

Hamiltonian system
Internal waves
KdV equation
equatorial undercurrent
shear flow

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10.1007/s00021-016-0283-4

https://arrow.tudublin.ie/scschmatart/226Licence: CC BY-NC-SA

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title = "The Dynamics of Flat Surface Internal Geophysical Waves with Currents",

abstract = "A two-dimensional water wave system is examined consisting of two discrete incompressible fluid domains separated by a free common interface. In a geophysical context this is a model of an internal wave, formed at a pycnocline or thermocline in the ocean. The system is considered as being bounded at the bottom and top by a flatbed and wave-free surface respectively. A current profile with depth-dependent currents in each domain is considered. The Hamiltonian of the system is determined and expressed in terms of canonical wave-related variables. Limiting behaviour is examined and compared to that of other known models. The linearised equations as well as long-wave approximations are presented.",

keywords = "Hamiltonian system, Internal waves, KdV equation, equatorial undercurrent, shear flow",

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AU - Compelli, Alan

AU - Ivanov, Rossen I.

PY - 2017/6/1

Y1 - 2017/6/1

N2 - A two-dimensional water wave system is examined consisting of two discrete incompressible fluid domains separated by a free common interface. In a geophysical context this is a model of an internal wave, formed at a pycnocline or thermocline in the ocean. The system is considered as being bounded at the bottom and top by a flatbed and wave-free surface respectively. A current profile with depth-dependent currents in each domain is considered. The Hamiltonian of the system is determined and expressed in terms of canonical wave-related variables. Limiting behaviour is examined and compared to that of other known models. The linearised equations as well as long-wave approximations are presented.

AB - A two-dimensional water wave system is examined consisting of two discrete incompressible fluid domains separated by a free common interface. In a geophysical context this is a model of an internal wave, formed at a pycnocline or thermocline in the ocean. The system is considered as being bounded at the bottom and top by a flatbed and wave-free surface respectively. A current profile with depth-dependent currents in each domain is considered. The Hamiltonian of the system is determined and expressed in terms of canonical wave-related variables. Limiting behaviour is examined and compared to that of other known models. The linearised equations as well as long-wave approximations are presented.

KW - Hamiltonian system

KW - Internal waves

KW - KdV equation

KW - equatorial undercurrent

KW - shear flow

UR - https://www.scopus.com/pages/publications/85019188356

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DO - 10.1007/s00021-016-0283-4

M3 - Article

AN - SCOPUS:85019188356

SN - 1422-6928

VL - 19

SP - 329

EP - 344

JO - Journal of Mathematical Fluid Mechanics

JF - Journal of Mathematical Fluid Mechanics

IS - 2

ER -

The Dynamics of Flat Surface Internal Geophysical Waves with Currents

Abstract

Keywords

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