Cellular Self-Structuring and Turbulent Behaviors in Atmospheric Laminar Channels

[摘要] Assimilating the atmosphere with multifractal entities, nonlinear behaviors in the framework of scale relativity theory regarding its hydrodynamic functionality are established at various scale resolutions. From this perspective, revealing a “hidden” symmetry of the specific multifractal force with the SL(2,R) group leads to synchronization of atmospheric entities on the basis of operational procedures (differential and integral Riemann-type geometries, harmonic mappings from Euclidian to hyperbolic space, variational principles, and others) that imply cellular self-structuring, laminar channels and singularities as turbulence generators. These behaviors can then be assimilated and compared with recent discoveries regarding laminar channels found in atmospheric turbulence through lidar data processing.

[发布日期] 2022-01-21

[关键词] self-structuring;turbulent (channel) flow;laminar channel flow;atmosphere;multifractal;LIDAR - remote sensing