Skip to main content
    • Aa
    • Aa
  • Get access
    Check if you have access via personal or institutional login
  • Cited by 35
  • Cited by
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Lü, Haibin Xie, Jieshuo Yao, Yuan Xu, Jiexin Chen, Zhiwu He, Yinghui and Cai, Shuqun 2016. Effect of background parabolic current on characteristics and energetics of internal solitary waves by numerical simulation. Acta Oceanologica Sinica, Vol. 35, Issue. 1, p. 1.

    MacCready, Parker and Giddings, Sarah N. 2016. The Mechanical Energy Budget of a Regional Ocean Model. Journal of Physical Oceanography, Vol. 46, Issue. 9, p. 2719.

    Thomas, J. A. Lerczak, J. A. and Moum, J. N. 2016. Horizontal variability of high-frequency nonlinear internal waves in Massachusetts Bay detected by an array of seafloor pressure sensors. Journal of Geophysical Research: Oceans, Vol. 121, Issue. 8, p. 5587.

    Palmer, M.R. Stephenson, G.R. Inall, M.E. Balfour, C. Düsterhus, A. and Green, J.A.M. 2015. Turbulence and mixing by internal waves in the Celtic Sea determined from ocean glider microstructure measurements. Journal of Marine Systems, Vol. 144, p. 57.

    Xie, Jieshuo Pan, Jiayi and Jay, David A. 2015. Multimodal Internal Waves Generated over a Subcritical Ridge: Impact of the Upper-Ocean Stratification. Journal of Physical Oceanography, Vol. 45, Issue. 3, p. 904.

    Zemskova, Varvara E. White, Brian L. and Scotti, Alberto 2015. Available Potential Energy and the General Circulation: Partitioning Wind, Buoyancy Forcing, and Diapycnal Mixing. Journal of Physical Oceanography, Vol. 45, Issue. 6, p. 1510.

    Zhang, Shuang Alford, Matthew H. and Mickett, John B. 2015. Characteristics, generation and mass transport of nonlinear internal waves on the Washington continental shelf. Journal of Geophysical Research: Oceans, Vol. 120, Issue. 2, p. 741.

    Lamb, Kevin G. and Xiao, Wenting 2014. Internal solitary waves shoaling onto a shelf: Comparisons of weakly-nonlinear and fully nonlinear models for hyperbolic-tangent stratifications. Ocean Modelling, Vol. 78, p. 17.

    Scotti, Alberto and White, Brian 2014. Diagnosing mixing in stratified turbulent flows with a locally defined available potential energy. Journal of Fluid Mechanics, Vol. 740, p. 114.

    Xie, Jieshuo Chen, Zhiwu Xu, Jiexin and Cai, Shuqun 2014. Effect of vertical stratification on characteristics and energy of nonlinear internal solitary waves from a numerical model. Communications in Nonlinear Science and Numerical Simulation, Vol. 19, Issue. 10, p. 3539.

    Barkan, Roy Winters, Kraig B. and Llewellyn Smith, Stefan G. 2013. Rotating horizontal convection. Journal of Fluid Mechanics, Vol. 723, p. 556.

    Lozovatsky, Iossif Liu, Zhiyu Fernando, Harindra Joseph S. Hu, Jianyu and Wei, Hao 2013. The TKE dissipation rate in the northern South China Sea. Ocean Dynamics, Vol. 63, Issue. 11-12, p. 1189.

    Tailleux, Rémi 2013. Available Potential Energy and Exergy in Stratified Fluids. Annual Review of Fluid Mechanics, Vol. 45, Issue. 1, p. 35.

    Talipova, Tatiana Terletska, Katherina Maderich, Vladimir Brovchenko, Igor Jung, Kyung Tae Pelinovsky, Efim and Grimshaw, Roger 2013. Internal solitary wave transformation over a bottom step: Loss of energy. Physics of Fluids, Vol. 25, Issue. 3, p. 032110.

    Kang, Dujuan and Fringer, Oliver 2012. Energetics of Barotropic and Baroclinic Tides in the Monterey Bay Area. Journal of Physical Oceanography, Vol. 42, Issue. 2, p. 272.

    Lamb, Kevin G. and Kim, Jueun 2012. Conversion of barotropic tidal energy to internal wave energy over a shelf slope for a linear stratification. Continental Shelf Research, Vol. 33, p. 69.

    Liu, ZhiYu and Lozovatsky, Iossif 2012. Upper pycnocline turbulence in the northern South China Sea. Chinese Science Bulletin, Vol. 57, Issue. 18, p. 2302.

    Nash, Jonathan D. Kelly, Samuel M. Shroyer, Emily L. Moum, James N. and Duda, Timothy F. 2012. The Unpredictable Nature of Internal Tides on Continental Shelves. Journal of Physical Oceanography, Vol. 42, Issue. 11, p. 1981.

    Floor, J.W. Auclair, F. and Marsaleix, P. 2011. Energy transfers in internal tide generation, propagation and dissipation in the deep ocean. Ocean Modelling, Vol. 38, Issue. 1-2, p. 22.

    Lamb, Kevin G. and Farmer, David 2011. Instabilities in an Internal Solitary-like Wave on the Oregon Shelf. Journal of Physical Oceanography, Vol. 41, Issue. 1, p. 67.

  • Journal of Fluid Mechanics, Volume 561
  • August 2006, pp. 103-112

On the interpretation of energy and energy fluxes of nonlinear internal waves: an example from Massachusetts Bay

  • A. SCOTTI (a1), R. BEARDSLEY (a2) and B. BUTMAN (a3)
  • DOI:
  • Published online: 09 August 2006

A self-consistent formalism to estimate baroclinic energy densities and fluxes resulting from the propagation of internal waves of arbitrary amplitude is derived using the concept of available potential energy. The method can be applied to numerical, laboratory or field data. The total energy flux is shown to be the sum of the linear energy flux $\int u'p'\,{\rm d}z$ (primes denote baroclinic quantities), plus contributions from the non-hydrostatic pressure anomaly and the self-advection of kinetic and available potential energy. Using highly resolved observations in Massachusetts Bay, it is shown that due to the presence of nonlinear internal waves periodically propagating in the area, $\int u'p'\,{\rm d}z$ accounts for only half of the total flux. The same data show that equipartition of available potential and kinetic energy can be violated, especially when the nonlinear waves begin to interact with the bottom.

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
Please enter your name
Please enter a valid email address
Who would you like to send this to? *