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The role of deformation and other quantities in an equation for enstrophy as applied to atmospheric blocking
Institution:1. Department of Geosciences, Idaho State University, Pocatello ID83209-8072, USA;2. Key Laboratory of Water Cycle and Related Land Surface Processes, Institute of Geographic Sciences and Natural Resources Research, Chinese Academy of Sciences, Beijing, China;3. Department of Civil and Environmental Engineering, University of Nevada, Las Vegas NV89054-1087, USA;4. Department of Watershed Sciences, Utah State University, Logan UT84322-5210, USA;1. School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, China;2. School of Statistics and Mathematics, Inner Mongolia University of Finance and Economics, Hohhot 010070, China
Abstract:In this note, equations for enstrophy and enstrophy advection are derived in terms of well-known quantities, assuming horizontal frictionless flow on a beta-plane. Specifically, enstrophy can be written in terms of the geopotential (or pressure), relative vorticity, zonal wind, and resultant deformation. Enstrophy advection is shown to be related to the time evolution of deformation and ageostrophic relative vorticity. Based on previous research, these terms may contribute to instability associated with atmospheric blocking development and decay.
Keywords:Blocking anticyclone  Stability theory  Enstrophy
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