Inertial particle approximation to solutions of the ShallowWater Equations on the rotating spherical Earth

Nathan Paldor; Andrey Sigalov

doi:10.1111/j.1600-0870.2006.00170.x

Inertial particle approximation to solutions of the ShallowWater Equations on the rotating spherical Earth

Tellus

Volume 58 (2006): Issue 2

By: Nathan Paldor and Andrey Sigalov

Open Access

|Jan 2006

Bourke , W. 1972 . An efficient, one-level, primitive-equation spectral model . Mon. Weather Rev . 100 , 683 – 689 .
Search in Google Scholar Back to article
Cushman-Roisin , B. 1982 . Motion of a free particle on a fl-plane . Geo-phys. Astrophys. Fluid Dyn . 22 , 85 – 102 .
Search in Google Scholar Back to article
Dvorkin , Y. and Paldor , N. 1999 . Analytical consideration of Lagrangian cross-equatorial flow . J. Atmos. Sci . 56 , 1229 – 1237 .
Search in Google Scholar Back to article
Gill , A. E. 1982 . Atmosphere-ocean Dynamics . Academic Press , San Diego , 667 pp .
Search in Google Scholar Back to article
Holton , J. 1992 . An introduction to dynamic meteorology . Academic Press , San Diego , 511 pp .
Search in Google Scholar Back to article
Lamb , H. 1945 . Hydrodynamics, sixth edition . Dover Publications , Inc ., NY , 738 pp .
Search in Google Scholar Back to article
Milne-Thomson , L. M. 1996 . Theoretical hydrodynamics . Dover Publi-cations Inc., NY , 743 pp .
Search in Google Scholar Back to article
Paldor , N. 2001 . The zonal drift associated with time-dependent par-ticle motion on the earth . Q. J. Roy. Meteor. Soc . 127 , 2435 – 2450 .
Search in Google Scholar Back to article
Paldor , N. and Killworth , P. D. 1988 . Inertial trajectories on a rotating earth. J. Atmos. Sci . 45 , 4013 – 4919 .
Search in Google Scholar Back to article
Paldor , N. and Sigalov , A. 2001 . The mechanics of inertial motion on the earth and on a rotating sphere . Physica D 160 , 29 – 53 .
Search in Google Scholar Back to article
Ripa , P. 1997 . Inertial oscillations and the fl-plane approximation . J. Phys. Oceaogr . 27 , 633 – 647 .
Search in Google Scholar Back to article
Salmon , R. 1998 . Lectures on Geophysical Fluid Dynamics . Oxford University Press , 378 pp .
Search in Google Scholar Back to article
Swarztrauber , P. N. 1996 . Spectral Transform Methods for Solving the Shallow-Water Equations on the sphere . Mon. Wea. Rev . 124 , 731 – 744 .
Search in Google Scholar Back to article
Whipple , E J. W. 1917 . The motion of a particle on the surface of a smooth rotating globe. Philos. Mag. J. Sci . 33 , 457 – 471 .
Search in Google Scholar Back to article
Williamson , D. L. , Drake , J. B. , Hack , J. J. , Jakob , R. and Swarztrauber , P. N. 1992 . A standard test set for numerical approximations to the shallow water equations in spherical geometry . J. Comp. Phys . 102 , 211 – 224 .
Search in Google Scholar Back to article
Young , W. R. and Ben klloul , M. 1997 . Propagation of near-inertial oscillations through a geostrophic front. J. Mar. Res . 55 , 735 – 766 .
Search in Google Scholar Back to article

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DOI: https://doi.org/10.1111/j.1600-0870.2006.00170.x | Journal eISSN: 3035-9554

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Language: English

Page range: 280 - 292

Submitted on: Jun 29, 2005

Accepted on: Oct 4, 2005

Published on: Jan 1, 2006

Published by: Stockholm University Press

In partnership with: Paradigm Publishing Services

© 2006 Nathan Paldor, Andrey Sigalov, published by Stockholm University Press
This work is licensed under the Creative Commons Attribution 4.0 License.

Volume 58 (2006): Issue 2