TITLE

Conservation and Linear Rossby-Mode Dispersion on the Spherical C Grid

AUTHOR(S)
Thuburn, John; Staniforth, Andrew
PUB. DATE
February 2004
SOURCE
Monthly Weather Review;Feb2004, Vol. 132 Issue 2, p641
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
Discretizations of the linearized shallow-water equations on a spherical C grid are considered. Constraints on the schemes' coefficients that ensure conservation of mass, angular momentum, and energy are derived. These results generalize previously published results to the case of nonuniform and rotated grids (but are restricted to the linearized equations). Grids with Ï… stored at the poles and grids with u and h stored at the poles are both considered. Energy conservation is shown to be problematic for grids with u and h at the poles. It is also shown that an inappropriate averaging of the Coriolis terms leads to a misrepresentation of the Rossby modes with shortest meridional scale. The appropriate averaging is shown to be compatible with the constraints required for conservation, and, indeed, the energy-conserving averaging of the Coriolis terms improves the dispersion properties of Rossby modes.
ACCESSION #
12164726

 

Related Articles

  • A Procedure to Determine Smoothly Varying Grid-Point Heights. Stull, Roland B. // Atmosphere -- Ocean (Canadian Meteorological & Oceanographic Soc;Sep1996, Vol. 34 Issue 3, p581 

    A procedure is presented for mapping regularly spaced grid indices into smoothly varying grid-cell-top heights. The total vertical domain is split into three regions of arbitrary vertical extent: a bottom region of uniform-size grid cells; a top region of uniform-size cells (but different than...

  • A Bayesian technique for estimating continuously varying statistical parameters of a variational assimilation. Purser, R. J.; Parrish, D. F. // Meteorology & Atmospheric Physics;Jan2003, Vol. 82 Issue 1-4, p209 

    Nonhydrostatic models with horizontal grid resolutions of around 10km are becoming operational at several fore- casting centers. At these scales it is particularly desirable that the covariances employed in variational or statistical analysis schemes be defined in a more general way than the...

  • The Resolving Power of a Single Exact-Repeat Altimetric Satellite or a Coordinated Constellation of Satellites. Chang-Kou Tai // Journal of Atmospheric & Oceanic Technology;May2004, Vol. 21 Issue 5, p810 

    It is proved that the midpoint grid, which is composed of samples obtained at ground track locations midway between crossover points (thus a subset of the full sampling), has the same resolving power as the full set; that is, they resolve the same three-dimensional spectral space. The resolving...

  • Grid uncovers the causes of crime.  // Scientific Computing World;Jul/Aug2005, Issue 83, p6 

    This article provides information on an e-Science project that employed grid computing techniques and its capacity to uncover the causes of crime. The project, run by the University of Sheffield in England and funded under the British Economic and Social Research Council's e-Science program,...

  • An Explication of the Coriolis Effect. Phillips, Norman A. // Bulletin of the American Meteorological Society;Feb2000, Vol. 81 Issue 2, p299 

    Studies the Coriolis force. Interpretation of how motion on the rotating earth is affected by the Coriolis force; Explanation on the principal properties of the Coriolis force using dynamical principles valid in nonrotating space.

  • Measure the Coriolis effect.  // Current Science;2/12/99, Vol. 84 Issue 11, p6 

    Presents an activity of measuring the Coriolis effect. Theory on why water spinning down a bathtub drain turns in different directions in the Northern and Southern hemispheres.

  • A Potential Enstrophy and Energy Conserving Numerical Scheme for Solution of the Shallow-Water Equations on a Geodesic Grid. Ringler, Todd D.; Randall, David A. // Monthly Weather Review;May2002, Vol. 130 Issue 5, p1397 

    Using the shallow water equations, a numerical framework on a spherical geodesic grid that conserves domain-integrated mass, potential vorticity, potential enstrophy, and total energy is developed. The numerical scheme is equally applicable to hexagonal grids on a plane and to spherical geodesic...

  • Editorial. Voisard, Agnès // GeoInformatica;Jun2001, Vol. 5 Issue 2, p123 

    Comments on the broad variety of issues about geospatial information handling and management. Determination and definition of neighborhood relations between fields of phenomena and a distribution in space; Programming language for map algebra; Issues of data fusion and compression in the...

  • One Way Distance: For Shape Based Similarity Search of Moving Object Trajectories. Lin, Bin; Su, Jianwen // GeoInformatica;Jun2008, Vol. 12 Issue 2, p117 

    An interesting issue in moving object databases is to find similar trajectories of moving objects. Previous work on this topic focuses on movement patterns (trajectories with time dimension) of moving objects, rather than spatial shapes (trajectories without time dimension) of their...

Share

Read the Article

Courtesy of THE LIBRARY OF VIRGINIA

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics