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We thus recommend spectra be computed by first transforming to a lat/lon grid using TR’s high-order algorithm. We next look at the effects of interpolation grid resolution: Again plotting E(k)/E_0(k). Observations:
The HO algorithm is quite good enough (no signficant rolloff at wave number 200) at a resolution of 1537x3072 with slight rolloff visable at 1025x2048.
The bilin algorithm requires almost more than twice as much resolution to get as good resultsmatch the results of highorder
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Note that in the actual spectra plot, the differences are quite small, with the lower resolution spectra matching very well at low wave numbers, and only slightly below at high wave numbers (zoomed in version on right).
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Only the yellow curve (1025x2048 high order) has visable roll off different that the highest resolution result.
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Time Averaging
The spectra above from single snaphots have a lot of noise which can be removed by averaging. We next analyze how much averaging is necessary…
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