Dynamics and Statistical Mechanics of Rotating and non-Rotating Vortical Flows

doi:10.2172/1110818

GSTDTAP > 地球科学

DOI	10.2172/1110818
报告编号	Final Technical Report
来源ID	OSTI ID: 1110818
	Dynamics and Statistical Mechanics of Rotating and non-Rotating Vortical Flows
	Lim, Chjan [RPI]
	2013-12-18
出版年	2013
语种	英语
国家	美国
领域	地球科学
英文摘要	Three projects were analyzed with the overall aim of developing a computational/analytical model for estimating values of the energy, angular momentum, enstrophy and total variation of fluid height at phase transitions between disordered and self-organized flow states in planetary atmospheres. It is believed that these transitions in equilibrium statistical mechanics models play a role in the construction of large-scale, stable structures including super-rotation in the Venusian atmosphere and the formation of the Great Red Spot on Jupiter. Exact solutions of the spherical energy-enstrophy models for rotating planetary atmospheres by Kac's method of steepest descent predicted phase transitions to super-rotating solid-body flows at high energy to enstrophy ratio for all planetary spins and to sub-rotating modes if the planetary spin is large enough. These canonical statistical ensembles are well-defined for the long-range energy interactions that arise from 2D fluid flows on compact oriented manifolds such as the surface of the sphere and torus. This is because in Fourier space available through Hodge theory, the energy terms are exactly diagonalizable and hence has zero range, leading to well-defined heat baths.
英文关键词	Spherical Energy-Enstrophy Models and Analyses for quasi-2D Flows Spherical geometry planetary atmospheres super-rotation on Venus
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来源平台	US Department of Energy (DOE)
引用统计
文献类型	科技报告
条目标识符	http://119.78.100.173/C666/handle/2XK7JSWQ/6084
专题	地球科学
推荐引用方式 GB/T 7714	Lim, Chjan [RPI]. Dynamics and Statistical Mechanics of Rotating and non-Rotating Vortical Flows,2013.