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

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  • 1 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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