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Fluids
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Internal Waves in the Ocean
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Internal Waves in the Ocean

A special issue of Fluids (ISSN 2311-5521). This special issue belongs to the section "Geophysical and Environmental Fluid Mechanics".

Deadline for manuscript submissions: closed (30 November 2021) | Viewed by 2526

Special Issue Editor

Prof. Dr. Yuri Lvov

E-Mail Website
Guest Editor
Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, NY 12180, USA
Interests: wave turbulence theory; internal waves in the ocean; Fermi–Pasta–Ulam–Tsingou chains; nonlinear waves
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

The dynamics of the ocean is a fascinating and complex subject to study. There are many types of waves and flows in the ocean, examples include surface gravity waves that are the familiar waves that can be observed breaking rhythmically near the shore; internal waves are hidden beneath the surface and take the form of modulations between layers of different water density.

These internal waves is the major player in the ocean dynamics and they carry significant part of ocean kinetic energy. Their dynamical role is to transfer energy over large distances in physical space and towards wave breaking in spectral space. Although these waves were intensively studied for over last five decades, there are many unanswered questions in the field of internal waves.

Original papers dealing with physics of internal waves are invited for this special volume of the Fluids. We would welcome papers from analytical, numerical and observational view points.

Prof. Dr. Yuri Lvov
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Fluids is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 1800 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • internal waves in the ocean
  • gravity waves
  • ocean dynamics
  • ocean kinetic energy
  • physical oceanography

Published Papers (1 paper)

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Research

13 pages, 332 KiB  
Article
Generalized Clebsch Variables for Compressible Ideal Fluids: Initial Conditions and Approximations of the Hamiltonian
by Benno Rumpf and Yuri V. Lvov
Fluids 2022, 7(4), 122; https://doi.org/10.3390/fluids7040122 - 23 Mar 2022
Viewed by 1918
Abstract
Clebsch variables provide a canonical representation of ideal flows that is, in practice, difficult to handle: while the velocity field is a function of the Clebsch variables and their gradients, constructing the Clebsch variables from the velocity field is not trivial. We introduce [...] Read more.
Clebsch variables provide a canonical representation of ideal flows that is, in practice, difficult to handle: while the velocity field is a function of the Clebsch variables and their gradients, constructing the Clebsch variables from the velocity field is not trivial. We introduce an extended set of Clebsch variables that circumvents this problem. We apply this method to a compressible, chemically inhomogeneous, and rotating ideal fluid in a gravity field. A second difficulty, the secular growth of canonical variables even for stationary states of stratified fluids, makes expansions of the Hamiltonian in Clebsch variables problematic. We give a canonical transformation that associates a stationary state of the canonical variables with the stationary state of the fluid; the new set of variables permits canonical approximations of the dynamics. We apply this to a compressible stratified ideal fluid with the aim to facilitate forthcoming studies of wave turbulence of internal waves. Full article
(This article belongs to the Special Issue Internal Waves in the Ocean)
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