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Titel |
Downscaling, parameterization, decomposition, compression: a perspective from the multiresolution analysis |
VerfasserIn |
J.-I. Yano |
Medientyp |
Artikel
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Sprache |
Englisch
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ISSN |
1680-7340
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Digitales Dokument |
URL |
Erschienen |
In: 10th EGU Plinius Conference on Mediterranean Storms (2008) ; Nr. 23 (2010-06-22), S.65-71 |
Datensatznummer |
250015108
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Publikation (Nr.) |
copernicus.org/adgeo-23-65-2010.pdf |
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Zusammenfassung |
Geophysical models in general, and atmospheric models more specifically, are
always limited in spatial resolutions. Due to this limitation, we face with
two different needs. The first is a need for knowing (or "downscaling")
more spatial details (e.g., precipitation distribution) than having model
simulations for practical applications, such as hydrological modelling. The
second is a need for "parameterizing" the subgrid-scale physical processes
in order to represent the feedbacks of these processes on to the resolved
scales (e.g., the convective heating rate).
The present article begins by remarking that it is essential to consider the
downscaling and parametrization as an "inverse" of each other: downscaling
seeks a detail of the subgrid-scale processes, then the parameterization
seeks an integrated effect of the former into the resolved scales. A
consideration on why those two closely-related operations are traditionally
treated separately, gives insights of the fundamental limitations of the
current downscalings and parameterizations.
The multiresolution analysis (such as those based on wavelet) provides an
important conceptual framework for developing a unified formulation for the
downscaling and parameterization. In the vocabulary of multiresolution
analysis, these two operations may be considered as types of decompression
and compression. A new type of a subgrid-scale representation scheme,
NAM-SCA (nonhydrostatic anelastic model with segmentally-constant
approximation), is introduced under this framework. |
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