correspondence Rene Laprise Physics Department, University of Quebec at Montreal Montreal, Quebec, Canada The letter of Professor Pielke (1991) suggesting a structure, because modes that are very short in one definition of horizontal resolution of gridpoint models direction must be elongated in the other direction: prompts me to reciprocate with a short essay on a sectorial spherical harmonics (\m\ = n ) have modal corresponding analysis for global spectral models. structures shaped as orange segments and have their The horizontal structure of dependent variables in largest amplitude in the tropics, hardly an adequate spectral models is represented by series expansion of measure of resolution for general circulation models. spherical harmonics where 0 < \m\ < n (e.g., An alternative way to estimate the resolution of Kubota 1959); the transform method (Machenhauer spectral models is as follows. Consider that the area of and Rasmussen 1972) is used to calculate nonlinear the earth's surface is given by 47ra2; there are (N + 1)2 terms on a Gaussian latitude-longitude grid in all real coefficients to a spherical harmonic series at modern spectral models. Triangular truncation (0 < n triangular truncation with maximum index N, that is, < N ) of the series
Bulletin of the American Meteorological Society – American Meteorological Society
Published: Sep 1, 1992
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