Representation of eddies in climate models by a potential vorticity flux
Thesis (Ph. D.)--Joint Program in Physical Oceanography (Massachusetts Institute of Technology, Dept. of Earth, Atmospheric, and Planetary Sciences; and the Woods Hole Oceanographic Institution), February 1999.
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| Format: | Thesis |
| Language: | eng |
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Massachusetts Institute of Technology
2010
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| Online Access: | http://hdl.handle.net/1721.1/58540 |
| _version_ | 1826204699978629120 |
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| author | Wardle, Richard M |
| author2 | John Marshall. |
| author_facet | John Marshall. Wardle, Richard M |
| author_sort | Wardle, Richard M |
| collection | MIT |
| description | Thesis (Ph. D.)--Joint Program in Physical Oceanography (Massachusetts Institute of Technology, Dept. of Earth, Atmospheric, and Planetary Sciences; and the Woods Hole Oceanographic Institution), February 1999. |
| first_indexed | 2024-09-23T12:59:39Z |
| format | Thesis |
| id | mit-1721.1/58540 |
| institution | Massachusetts Institute of Technology |
| language | eng |
| last_indexed | 2024-09-23T12:59:39Z |
| publishDate | 2010 |
| publisher | Massachusetts Institute of Technology |
| record_format | dspace |
| spelling | mit-1721.1/585402022-02-02T19:56:47Z Representation of eddies in climate models by a potential vorticity flux Wardle, Richard M John Marshall. Woods Hole Oceanographic Institution. Joint Program in Physical Oceanography Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences Woods Hole Oceanographic Institution Joint Program in Physical Oceanography. Dept. of Earth, Atmospheric, and Planetary Sciences. Woods Hole Oceanographic Institution. Thesis (Ph. D.)--Joint Program in Physical Oceanography (Massachusetts Institute of Technology, Dept. of Earth, Atmospheric, and Planetary Sciences; and the Woods Hole Oceanographic Institution), February 1999. Includes bibliographical references (p. 170-177). This thesis addresses the parameterization of the heat and momentum transporting properties of eddy motions for use in three-dimensional, primitive equation, z-coordinate atmosphere and ocean models. Determining the transport characteristics of these eddies is fundamental to understanding their effect on the large-scale ocean circulation and global climate. The approach is to transform the primitive equations to yield the altered 'transformed Eulerian mean' (TEM) equations. The assumption is made that the eddy motions obey quasigeostrophic dynamics while the mean flow obeys the primitive equations. With this assumption, the TEM framework leads to the eddies appearing as one term, which acts as a body force in the momentum equations. This force manifests itself as a flux of potential vorticity (PV) - a quantity that incorporates both eddy momentum and heat transporting properties. Moreover, the dynamic velocities are those of the residual mean circulation, a much more relevant velocity for understanding heat and tracer transport. Closure for the eddy PV flux is achieved through a flux-gradient relationship, which directs the flux down the large scale PV gradient. For zonal flows, care is taken to ensure that the resulting force does not generate any net momentum, acting only to redistribute it. Neglect of relative vorticity fluxes in the PV flux yields the parameterization scheme of Gent and McWilliams. The approach is investigated by comparing a zonally-averaged parameterized model with a three dimensional eddy-resolving calculation of flow in a stress-driven channel. The stress at the upper surface is communicated down the water column to the bottom by eddy form drag. Moreover, lateral eddy momentum fluxes act to strengthen and sharpen the mean flow, transporting eastward momentum up its large scale gradient. Both the vertical momentum transfer and lateral, upgradient momentum transfer by eddies, are captured in the parameterized model. The advantages of this approach are demonstrated in two further zonal cases: 1) the spin-down of a baroclinic zone, and 2) the atmospheric jet stream. The time mean TEM approach and the eddy PV flux closure are explored in the context of an eddy-resolving closed basin flow which breaks the zonal symmetry. Decomposition of eddy PV fluxes into components associated with advective and dissipative effects suggest that the component associated with eddy flux divergence, and therefore forcing of the mean flow, is mainly directed down the large scale gradient and can be parameterized as before. Thus, the approach can be used to capture eddy transport properties for both zonal mean and time mean flows. The PV flux embodies both the eddy heat and momentum fluxes and so presents a more unified picture of their transferring properties. It therefore provides a powerful conceptual and practical framework for representing eddies in numerical models of the atmsophere and ocean. by Richard M. Wardle. Ph.D. 2010-09-14T18:07:03Z 2010-09-14T18:07:03Z 1999 1999 Thesis http://hdl.handle.net/1721.1/58540 43855704 eng M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission. http://dspace.mit.edu/handle/1721.1/7582 177 p. application/pdf Massachusetts Institute of Technology |
| spellingShingle | Joint Program in Physical Oceanography. Dept. of Earth, Atmospheric, and Planetary Sciences. Woods Hole Oceanographic Institution. Wardle, Richard M Representation of eddies in climate models by a potential vorticity flux |
| title | Representation of eddies in climate models by a potential vorticity flux |
| title_full | Representation of eddies in climate models by a potential vorticity flux |
| title_fullStr | Representation of eddies in climate models by a potential vorticity flux |
| title_full_unstemmed | Representation of eddies in climate models by a potential vorticity flux |
| title_short | Representation of eddies in climate models by a potential vorticity flux |
| title_sort | representation of eddies in climate models by a potential vorticity flux |
| topic | Joint Program in Physical Oceanography. Dept. of Earth, Atmospheric, and Planetary Sciences. Woods Hole Oceanographic Institution. |
| url | http://hdl.handle.net/1721.1/58540 |
| work_keys_str_mv | AT wardlerichardm representationofeddiesinclimatemodelsbyapotentialvorticityflux |