An Interpolation Method, Based on Double Fourier Expansion for the Calculation of Atmospheric Kinetic Energy Spectra, Compared with Bilinear Interpolation

A. P. M. Baede Royal Netherlands Meterological Institute, De Bilt, The Netherlands

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W. J. A. Kuipers Royal Netherlands Meterological Institute, De Bilt, The Netherlands

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J. Reiff Royal Netherlands Meterological Institute, De Bilt, The Netherlands

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Abstract

A crucial step in the calculation of spectra from objective analyses is the transformation of the analysis to the latitude-longitude grid by some interpolation method. By analysing a synthetic two-dimensional function of known spectral content, it is shown that an interpolation method based on double Fourier expansion yields better results than the conventional linear interpolation. In particular, the minus-third- power profile of the high-wavenumber part of the spectrum is very well reproduced.

Abstract

A crucial step in the calculation of spectra from objective analyses is the transformation of the analysis to the latitude-longitude grid by some interpolation method. By analysing a synthetic two-dimensional function of known spectral content, it is shown that an interpolation method based on double Fourier expansion yields better results than the conventional linear interpolation. In particular, the minus-third- power profile of the high-wavenumber part of the spectrum is very well reproduced.

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