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  • 11H50  (1)
  • ddc:550.724  (1)
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  • 1
    Publication Date: 2022-04-01
    Description: Recent advances in geostationary imaging have enabled the derivation of high spatiotemporal‐resolution cloud‐motion winds for the study of mesoscale unsteady flows. Due to the general absence of ground truth, the quality assessment of satellite winds is challenging. In the current limited practice, straightforward plausibility checks on the smoothness of the retrieved wind field or tests on aggregated trends such as the mean velocity components are applied for quality control. In this study, we demonstrate additional diagnostic tools based on feature extraction from the retrieved velocity field. Lagrangian Coherent Structures (LCS), such as vortices and transport barriers, guide and constrain the emergence of cloud patterns. Evaluating the alignment of the extracted LCS with the observed cloud patterns can potentially serve as a test of the retrieved wind field to adequately explain the time‐dependent dynamics. We discuss the suitability and expressiveness of direct, geometry‐based, texture‐based, and feature‐based flow visualization methods for the quality assessment of high spatiotemporal‐resolution winds through the real‐world example of an atmospheric Kármán vortex street and its laboratory archetype, the 2D cylinder flow.
    Description: Key Points: Recently developed high‐cadence geostationary satellite winds enable the Lagrangian analysis of unsteady island wake flows. Good correspondence between Lagrangian Coherent Structures and observed cloud patterns indirectly confirms the fidelity of fluid dynamics. Discussion of benefits and pitfalls of common flow visualization techniques for the analysis of fluid dynamics.
    Description: Swiss National Science Foundation
    Description: Bundesministerium für Bildung und Forschung http://dx.doi.org/10.13039/501100002347
    Description: Deutsche Forschungsgemeinschaft http://dx.doi.org/10.13039/501100001659
    Description: https://doi.org/10.5281/zenodo.3534276
    Description: https://www.avl.class.noaa.gov/
    Description: https://github.com/tobguent/vislcs-guadalupe
    Keywords: ddc:550.724
    Language: English
    Type: doc-type:article
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Geometriae dedicata 63 (1996), S. 183-191 
    ISSN: 1572-9168
    Keywords: 11H50 ; 52C07 ; lattice ; Dirichlet-Voronoi cell
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract This paper consists of two results concerning the Dirichlet-Voronoi cell of a lattice. The first one is a geometric property of the cell of an integral unimodular lattice while the second one gives a characterization of all those lattice vectors of an arbitrary lattice whose multiples by 1/2 are on the boundary of the cell containing the origin. This result is a generalization of a well-known theorem of Voronoi characterizing the so-called relevants of the cell.
    Type of Medium: Electronic Resource
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