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C.L.E. Franzke, M. Oliver, J.D.M. Rademacher, and G. Badin
Multi-scale methods for geophysical flows,
in: C. Eden and A. Iske, eds.,
"Energy Transfers in Atmosphere and Ocean", pp. 1-51, Springer-Verlag, 2019.
Abstract:
Geophysical flows comprise a broad range of spatial and
temporal scales, from the planetary to meso-scale and microscopic
turbulence regimes. The relation of scales and flow phenomena is
essential in order to validate and improve current numerical weather
and climate prediction models. While regime separation is often
possible on a formal level via multi-scale analysis, the systematic
exploration, structure preservation, and mathematical details remain
challenging. This chapter provides an entry to the literature and
reviews fundamental notions as background for the later chapters in
this collection and as a departure point for original research in the
field.
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