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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Stochastic parameterization for large eddy simulation of geophysical flows
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by Jinqiao Duan and Balasubramanya T. Nadiga PDF
Proc. Amer. Math. Soc. 135 (2007), 1187-1196 Request permission

Abstract:

Recently, stochastic, as opposed to deterministic, parameterizations are being investigated to model the effects of unresolved subgrid scales (SGS) in large eddy simulations (LES) of geophysical flows. We analyse such a stochastic approach in the barotropic vorticity equation to show that (i) if the stochastic parameterization approximates the actual SGS stresses, then the solution of the stochastic LES approximates the “true" solution at appropriate scale sizes; and that (ii) when the filter scale size approaches zero, the solution of the stochastic LES approaches the true solution.
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Additional Information
  • Jinqiao Duan
  • Affiliation: Department of Applied Mathematics, Illinois Institute of Technology, Chicago, Illinois 60616
  • Email: duan@iit.edu
  • Balasubramanya T. Nadiga
  • Affiliation: Los Alamos National Laboratory, MS-B296, Los Alamos, New Mexico 87545
  • Email: balu@lanl.gov
  • Received by editor(s): October 30, 2005
  • Received by editor(s) in revised form: November 23, 2005
  • Published electronically: October 27, 2006
  • Additional Notes: The first author was partly supported by NSF Grants DMS-0209326 & DMS-0542450.
    The second author was partly supported by the LDRD program at Los Alamos National Laboratory
  • Communicated by: Edward C. Waymire
  • © Copyright 2006 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 135 (2007), 1187-1196
  • MSC (2000): Primary 65C20, 60H15, 86A10
  • DOI: https://doi.org/10.1090/S0002-9939-06-08631-X
  • MathSciNet review: 2262925