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A standardized procedure for the derivation of smooth and partially overset grids on the sphere, associated with polyhedra that admit regular griddings of their surfaces; Mathematical principles of classification and construction; Part I
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  • Alternative Title:
    Mathematical principles of classification and construction
  • Description:
    "Modern global grid point models of the atmosphere are not well served by the traditional horizontal grids based on the latitude and longitude coordinate framework. The character and stability of the numerical solutions on such a grid are radically and adversely affected by the excessive east-west resolution of the grid at high latitudes, unless the models invoke a strong low-pass spatial filter at every time step. These unwelcome features of the latitude-longitude grid have been acknowledged and understood for many years and, although various remedial measures have been devised to ameliorate the time step restrictions and other problems caused by the convergence of meridians at the poles, the results are often less than satisfactory. With the widespread adoption of massively parallel computation, and the consequent need to apportion different parts of the horizontal grid to separate communicating processors, new difficulties associated with the latitude-longitude grids emerge. Near the poles, relatively short geographical distances can be very many grid units apart, making the practical problem of subdividing the grid for efficient parallel processing an extremely challenging one. Using a latitude-longitude grid in which the stored values are progressively thinned in the zonal direction as one moves to successively higher latitudes (e.g., Gates and Riegel 1962; Kurihara 1965) is a strategy that successfully addresses the problem of achieving a more homogeneous horizontal distribution, but at the considerable cost of incurring severe difficulties in performing any numerical operations normally carried out along meridians"--Introduction.
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