Physical and Mathematical Properties of a Quasi-Geostrophic Model of Intermediate Complexity of the Mid-Latitudes Atmospheric Circulation

作者: Valerio Lucarini , Renato VItolo , Antonio Speranza

DOI:

关键词: Geostrophic windBarotropic fluidPhysicsBaroclinityPhase spaceStatistical physicsObservableAtmospheric circulationAttractorClassical mechanicsDynamical systems theory

摘要: A quasi-geostrophic intermediate complexity model is considered, providing a schematic representation of the baroclinic conversion processes which characterize physics mid-latitudes atmospheric circulation. The relaxed towards given latitudinal temperature profile, acts as forcing, controlled by parameter TE determining forced equator-to-pole gradient. As increases, transition takes place from stationary regime to periodic regime, and eventually an earth-like chaotic where evolution on strange attractor. dependence attractor dimension, metric entropy, bounding box volume in phase space studied varying both resolution. statistical properties observables having physical relevance, namely total energy system latitudinally averaged zonal wind, are also examined. It emphasized that while attractor's quite sensitive resolution, global depend less critically it. For more detailed observables, such profiles resolution again may be critical: effectiveness wind convergence, acting barotropic stabilization waves, heavily relies details structure fields. necessity complementarity dynamical systems approach underlined.

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