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Scale Invariance, Symmetries, Fractals, and Stochastic Simulations of Atmospheric Phenomena
Publisher: American Meteorological Society
Abstract: Advances in remote sensing and in situ measurement techniques have revealed the full continuum of atmospheric motions and have underlined the importance of mesoscale processes. This paper examines the implications of three ...
Universal Multifractals Do Exist!: Comments on “A Statistical Analysis of Mesoscale Rainfall as a Random Cascade”
Publisher: American Meteorological Society
Differential Rotation and Cloud Texture: Analysis Using Generalized Scale Invariance
Publisher: American Meteorological Society
Abstract: The standard picture of atmospheric dynamics is that of an isotropic two-dimensional large scale and an isotropic three-dimensional small scale, the two separated by a dimensional transition called the ?mesoscale gap.? ...
Universal Multifractals: Theory and Observations for Rain and Clouds
Publisher: American Meteorological Society
Abstract: The standard model of atmospheric motions divides the atmosphere into distinct two- and three-dimensional isotropic turbulent regimes separated by a dimensional transition, the ?mesoscale gap.? It is argued that the ?gap? ...
Multifractal Analysis and Simulation of the Global Meteorological Network
Publisher: American Meteorological Society
Abstract: Taking the example of the meteorological measuring network, it is shown how the density of stations can be characterized by multifractal measures. A series of multifractal analysis techniques are applied (including new ...
Multifractal Analysis of Line-Source Plume Concentration Fluctuations in Surface-Layer Flows
Publisher: American Meteorological Society
Abstract: A codimension multifractal methodology was used to analyze and to model scalar concentration fluctuations within sulfur hexafluoride tracer gas plumes from a line source in atmospheric surface-layer flows. Correspondence ...