吴国雄,刘还珠. 1999. 全型垂直涡度倾向方程和倾斜涡度发展[J]. 气象学报, 57(1):1-15, doi:10.11676/qxxb1999.001
全型垂直涡度倾向方程和倾斜涡度发展
COMPLETE FORM OF VERTICAL VORTICITY TENDENCY EQUATION AND SLANTWISE VORTICITY DEVELOPMENT
投稿时间:1997-04-16  修订日期:1997-10-13
DOI:10.11676/qxxb1999.001
中文关键词:  Ertel位涡  盒子定律  外切平面定律  热力参数CD
英文关键词:Ertel potential vorticity  Box law  Circumscribed plane law  Thermal parameter CD
基金项目:国家自然科学基金重点项目“49635170”;项目“49575265”
作者单位
吴国雄 中国科学院大气物理研究所大气科学和地球流体力学国家重点实验室(LASG), 北京, 100080 
刘还珠 中国气象局国家气象中心, 北京, 100080 
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中文摘要:
      文中证明了不仅包括动力因子,而且包括热力因子、摩擦耗散及非绝热加热作用的和可用于三维空间的全型垂直涡度倾向方程。证明经典的、平面上的涡度方程只是它的特例。并且用该全型涡度方程严格证明了倾斜涡度发展(SVD)理论。沿着倾斜等熵面下滑的气块,当热力参数CD减小时,其垂直涡度将发展。最后通过用θ坐标模式模拟一次西南低涡的形成,证明SVD引起的涡度发展要比传统所考虑的辐合项的贡献大一个量级。
英文摘要:
      In this study,a complete formof vertical vorticity tendency equation was deduced from the Ertel potential vorticity theory.Itincludes notonly dynamic elements,but also thermody namic elements,frictional dissipation and diabatic heating,and is applicable to three dimensional motion.It was proved that the classical vertical vorticity equation which is appropriate only for horizontal motion is merely a special case of this newly obtained complete formequation.Based upon this equation,the theory of Slant wise Vorticity Development(SVD) proposed by Wu et al.was also proved.According to this theory,when a parrel slides down a slantwise isentropic surface and the thermal par ameter CD is decreasing,its vertical vorticity develops.Toverify the theory,a θ coordinate model was employed to simulate the formation of a "southwest vortex" near the Tibetan Plateau.Results show that the vertical vorticity development due to SVD is about anorder of magnitude stronger than that due to convergence which has been traditionally emphasised.
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