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Spatial variances of wind fields and their relation to second-order structure functions and spectra

AutorKing, Gregory P. ; Vogelzang, J.; Stoffelen, Ad; Portabella, Marcos
Fecha de publicación19-dic-2014
EditorAmerican Geophysical Union
Citación2014 AGU Fall Meeting (2014)
ResumenKinetic energy variance as a function of spatial scale for wind fields is commonly estimated either using second-order structure functions (in the spatial domain) or by spectral analysis (in the frequency domain). It will be demonstrated that neither spectra nor second-order structure functions offer a good representation of the variance as a function of scale. These difficulties can be circumvented by using a statistical quantity called spatial variance. It combines the advantages of spectral analysis and spatial statistics. In particular, when applied to observations, spatial variances have a clear interpretation and are tolerant for missing data. They can be related to second-order structure functions, both for discrete and continuous data. For data sets without missing points the relation is statistically exact. Spatial variances can also be Fourier transformed to yield a relation with spectra. The flexibility of spatial variances is used to study various sampling strategies, and to compare them with second-order structure functions and spectral variances. It is shown that the spectral sampling strategy is not seriously biased to calm conditions for scatterometer ocean surface vector winds, and that one-fifth of the second-order structure function value is a good proxy for the cumulative variance
Descripción2014 American Geophysical Union Fall Meeting, 15-19 december 2014, San Francisco
Versión del editorhttps://agu.confex.com/agu/fm14/meetingapp.cgi#Paper/6009
Aparece en las colecciones: (ICM) Comunicaciones congresos
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