Numerical simulation for the climatic statistical structure with the new correlation functions of the extended polynomial form and the extended exponential form

Mathematics – Logic

Scientific paper

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Scientific paper

Two new correlation functions of the extended polynomial form and the extended exponential form are developed to compute the initial field of the numerical weather prediction in the low-latitude region based on the statistical structure of the height field at 500-mb and at 1200 GMT during three winter months (December, January, and February) of each year from 1977 to 1983. The computed results show that these two new correlation models can yield the more accurate and reliable meteorological parameter than the Gandin's one in the low-latitude region with the large sea areas.
Under the geostrophic approximation, the nine correlation patterns of the extended exponential form are computed and compared with the corresponding correlation patterns based on the given statistical structure. It can then be concluded that the qualitative agreements between the computed results under geostrophic approximation and the observed results of the statistical structure are very clear.

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