skip to content
Rossby waves and two-dimensional turbulence in the presence of a large-scale zonal jet Preview this item
ClosePreview this item
Checking...

Rossby waves and two-dimensional turbulence in the presence of a large-scale zonal jet

Author: Theodore Gordon Shepherd
Publisher: ©1984.
Dissertation: Ph. D. Massachusetts Institute of Technology, Dept. of Earth, Atmospheric, and Planetary Sciences 1984
Edition/Format:   Thesis/dissertation : Thesis/dissertation : Manuscript   Archival Material : English
Summary:
This dissertation represents a theoretical, numerical, and observational study of barotropic waves and turbulence in an inhomogeneous background flow environment. The theoretical aspects of the work are simplified by restricting attention to the two-dimensional doublyperiodic beta-plane, and in nearly every respect to large-scale zonal flows which are barotropically stable (in a normal-mode sense). The role of the  Read more...
Rating:

(not yet rated) 0 with reviews - Be the first.

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Material Type: Thesis/dissertation, Manuscript
Document Type: Book, Archival Material
All Authors / Contributors: Theodore Gordon Shepherd
OCLC Number: 12621534
Notes: Vita.
Description: 393 pages : illustrations ; 28 cm
Other Titles: Rossby waves and 2D turbulence in the presence of a large-scale zonal jet
Two-dimensional turbulence in the presence of a large-scale zonal jet, Rossby waves and
Responsibility: by Theodore Gordon Shepherd.

Abstract:

This dissertation represents a theoretical, numerical, and observational study of barotropic waves and turbulence in an inhomogeneous background flow environment. The theoretical aspects of the work are simplified by restricting attention to the two-dimensional doublyperiodic beta-plane, and in nearly every respect to large-scale zonal flows which are barotropically stable (in a normal-mode sense). The role of the flow inhomogeneity is investigated by considering both nonlinear and linear theory of wave, mean-flow interaction; the key concept to emerge is that of induced spectral transfer of conserved wave quantities by the basic-state flow. Along the way, some new nonlinear conservation laws are derived. In the special case examined of a large-scale zonal jet, the wave enstrophy is approximately conserved in a fully nonlinear sense, and the wave, mean-flow interaction may be characterized as an induced spectral transfer of the wave enstrophy along lines of constant zonal wavenumber k. Because of the scale separation, the linear part of the interaction problem can be closed by applying WKB ray-tracing theory. The turbulent dynamics act to smooth the spectral gradients by irreversible mixing of wave enstrophy; their closure is less easily quantified. The theoretical ideas are tested by performing numerical simulation experiments of both the spin-down and forced-dissipative equilibrium variety. In particular, the nature of the wave, mean-flow interaction can be identified by examining the interaction terms as functions of the meridional wavenumber X for fixed k. In so doing one can determine the point at which irreversible nonlinear dynamics take over from reversible linear dynamics;. while the latter are characterized by induced transfer of enstrophy along lines of constant k, the former operate by diffusing energy and enstrophy across such contours. Finally the ideas of the thesis are applied to atmospheric data, and the results used to interpret the observed nonlinear spectral fluxes of kinetic energy and of enstrophy, as well as the interaction between the stationary (viz. one-month time-mean) and transient flow components.

Reviews

User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/12621534> # Rossby waves and two-dimensional turbulence in the presence of a large-scale zonal jet
    a schema:IndividualProduct, bgn:Thesis, pto:Manuscript, schema:Book, schema:CreativeWork ;
   bgn:inSupportOf "" ;
   library:oclcnum "12621534" ;
   schema:alternateName "Rossby waves and 2D turbulence in the presence of a large-scale zonal jet" ;
   schema:alternateName "Two-dimensional turbulence in the presence of a large-scale zonal jet, Rossby waves and" ;
   schema:copyrightYear "1984" ;
   schema:creator <http://viaf.org/viaf/50810708> ; # Theodore Gordon Shepherd
   schema:datePublished "1984" ;
   schema:description "This dissertation represents a theoretical, numerical, and observational study of barotropic waves and turbulence in an inhomogeneous background flow environment. The theoretical aspects of the work are simplified by restricting attention to the two-dimensional doublyperiodic beta-plane, and in nearly every respect to large-scale zonal flows which are barotropically stable (in a normal-mode sense). The role of the flow inhomogeneity is investigated by considering both nonlinear and linear theory of wave, mean-flow interaction; the key concept to emerge is that of induced spectral transfer of conserved wave quantities by the basic-state flow. Along the way, some new nonlinear conservation laws are derived. In the special case examined of a large-scale zonal jet, the wave enstrophy is approximately conserved in a fully nonlinear sense, and the wave, mean-flow interaction may be characterized as an induced spectral transfer of the wave enstrophy along lines of constant zonal wavenumber k. Because of the scale separation, the linear part of the interaction problem can be closed by applying WKB ray-tracing theory. The turbulent dynamics act to smooth the spectral gradients by irreversible mixing of wave enstrophy; their closure is less easily quantified. The theoretical ideas are tested by performing numerical simulation experiments of both the spin-down and forced-dissipative equilibrium variety. In particular, the nature of the wave, mean-flow interaction can be identified by examining the interaction terms as functions of the meridional wavenumber X for fixed k. In so doing one can determine the point at which irreversible nonlinear dynamics take over from reversible linear dynamics;. while the latter are characterized by induced transfer of enstrophy along lines of constant k, the former operate by diffusing energy and enstrophy across such contours. Finally the ideas of the thesis are applied to atmospheric data, and the results used to interpret the observed nonlinear spectral fluxes of kinetic energy and of enstrophy, as well as the interaction between the stationary (viz. one-month time-mean) and transient flow components."@en ;
   schema:exampleOfWork <http://worldcat.org/entity/work/id/1806313771> ;
   schema:inLanguage "en" ;
   schema:name "Rossby waves and two-dimensional turbulence in the presence of a large-scale zonal jet"@en ;
   schema:productID "12621534" ;
   schema:publication <http://www.worldcat.org/title/-/oclc/12621534#PublicationEvent/1984> ;
   wdrs:describedby <http://www.worldcat.org/title/-/oclc/12621534> ;
    .


Related Entities

<http://viaf.org/viaf/50810708> # Theodore Gordon Shepherd
    a schema:Person ;
   schema:familyName "Shepherd" ;
   schema:givenName "Theodore Gordon" ;
   schema:name "Theodore Gordon Shepherd" ;
    .

<http://www.worldcat.org/title/-/oclc/12621534>
    a genont:InformationResource, genont:ContentTypeGenericResource ;
   schema:about <http://www.worldcat.org/oclc/12621534> ; # Rossby waves and two-dimensional turbulence in the presence of a large-scale zonal jet
   schema:dateModified "2018-03-09" ;
   void:inDataset <http://purl.oclc.org/dataset/WorldCat> ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.