. Compendium of meteorology. Meteorology. 480 DYNAMICS OF THE ATMOSPHERE polynomial interpolation, and to calculate the initial applies only indifferently, if at all, to many of the small- data at the points of a predetermined grid. Given the scale but meteorologically significant motions. We have mechanical means for the accomplishment of this pro- merely indicated two obstacles that stand in the way # dO ^. (c) (d) Fig. 3.—Forecast of January 30, 1949, 0300 GMT: (a) observed z (heavy lines) and r + / (light lines) at i = 0; (6) observed 2 and f -I- / at i = 24 hr; (c) observed (continuous li
. Compendium of meteorology. Meteorology. 480 DYNAMICS OF THE ATMOSPHERE polynomial interpolation, and to calculate the initial applies only indifferently, if at all, to many of the small- data at the points of a predetermined grid. Given the scale but meteorologically significant motions. We have mechanical means for the accomplishment of this pro- merely indicated two obstacles that stand in the way # dO ^. (c) (d) Fig. 3.—Forecast of January 30, 1949, 0300 GMT: (a) observed z (heavy lines) and r + / (light lines) at i = 0; (6) observed 2 and f -I- / at i = 24 hr; (c) observed (continuous lines) and computed (broken lines) 24-hr height change; (d) computed z and f + / at i = 24 hr. The height unit is 100 ft and the unit of vorticity is j X 10"* sec"'. gram, there would, of course, remain other problems to be solved, not the least of which would be the de- vising of an objective technique for the location and elimination of errors in the raw data. Use of the Primitive Equations The discussion so far has dealt exclusively with the quasi-geostrophic equations as the basis for numerical forecasting. Yet there has been no intention to exclude the possibility that the primitive Eulerian equations can also be used for this purpose. The outlook for numerical forecasting would indeed be dismal if the quasi-geostrophic approximation represented the upper limit of attainable accuracy, for it is known that it of the application of the primitive equations: First, there is the difficulty raised by Richardson that the horizontal divergence cannot be measured wdth suffi- cient accuracy; moreover, the horizontal divergence is only one of a class of meteorological unobservables which also includes the horizontal acceleration. And second, if the primitive Eulerian equations are em- ployed, a stringent and seemingly artificial bound is imposed on the size of the time interval for the finite- difference equations. The first obstacle is the more formidable, for the second o
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