Toward an extended-geostrophic Euler-Poincare model for mesoscale oceanographic flow

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The authors consider the motion of a rotating, continuously stratified fluid governed by the hydrostatic primitive equations (PE). An approximate Hamiltonian (L1) model for small Rossby number {var_epsilon} is derived for application to mesoscale oceanographic flow problems. Numerical experiments involving a baroclinically unstable oceanic jet are utilized to assess the accuracy of the L1 model compared to the PE and to other approximate models, such as the quasigeostrophic (QG) and the geostrophic momentum (GM) equations. The results of the numerical experiments for moderate Rossby number flow show that the L1 model gives accurate solutions with errors substantially smaller than QG ... continued below

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34 p.

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Allen, J. S.; Newberger, P. A. & Holm, D. D. July 1998.

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Description

The authors consider the motion of a rotating, continuously stratified fluid governed by the hydrostatic primitive equations (PE). An approximate Hamiltonian (L1) model for small Rossby number {var_epsilon} is derived for application to mesoscale oceanographic flow problems. Numerical experiments involving a baroclinically unstable oceanic jet are utilized to assess the accuracy of the L1 model compared to the PE and to other approximate models, such as the quasigeostrophic (QG) and the geostrophic momentum (GM) equations. The results of the numerical experiments for moderate Rossby number flow show that the L1 model gives accurate solutions with errors substantially smaller than QG or GM.

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34 p.

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OSTI as DE98003470

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  • Isaac Newton Institute`s conference on atmosphere and ocean dynamics, Cambridge (United Kingdom), Dec 1997

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  • Other: DE98003470
  • Report No.: LA-UR--98-202
  • Report No.: CONF-971242--
  • Grant Number: W-7405-ENG-36
  • Office of Scientific & Technical Information Report Number: 663378
  • Archival Resource Key: ark:/67531/metadc710649

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  • July 1998

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  • Sept. 12, 2015, 6:31 a.m.

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  • Feb. 25, 2016, 2:17 p.m.

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Allen, J. S.; Newberger, P. A. & Holm, D. D. Toward an extended-geostrophic Euler-Poincare model for mesoscale oceanographic flow, article, July 1998; New Mexico. (digital.library.unt.edu/ark:/67531/metadc710649/: accessed July 16, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.