螺旋度及螺旋度方程的讨论

ON THE HELICITY AND THE HELICITY EQUATION

  • 摘要: 文中从无摩擦的运动方程出发,利用量纲分析的方法,导出简化了的螺旋度方程和不同方向上的螺旋度方程,并对影响它们变化的各因子进行了讨论。分析结果表明,除了Lilly在1986年研究中强调的浮力效应外,压力梯度与涡度共同作用项和力管项对螺旋度的变化也有重要影响,甚至比浮力效应更大,且力管作用、水平压力梯度与水平涡度共同作用主要影响水平螺旋度,浮力效应、垂直压力梯度与垂直涡度共同作用主要影响垂直螺旋度;螺旋度的输送和大气的辐散、辐合对螺旋度变化的影响较弱;地转偏向力(无论是在水平方向还是垂直方向)的作用要在系统水平尺度较大时才能体现出来。水平和垂直方向上的螺旋度既相互区别在暴雨、强对流天气过程中表现出不同的作用,又相互联系。一方面,水平螺旋度更具预示性,对预报强风暴有指示意义,而垂直螺旋度更倾向为能反映系统的维持状况和系统发展、天气现象的剧烈程度的一个参数。另一方面,大的正水平螺旋度有助于垂直螺旋度的增长,而与垂直螺旋度对应的运动可能对水平螺旋度产生影响。将中尺度模式和螺旋度计算结合起来可能可以提高风暴路径和雨区的预报准确度。

     

    Abstract: In this paper,a simplified helicity equation is derived from the basic moment um equations by dimensional analysis,and the effect factors of helicity variation are discussed.Furthermore,the charact eristics of the horizontal helicity and the vert ical helicity are investigated.The analysis results show that among these effect factors,besides the buoyancy effect emphasized in Lilly's study(1986),the solenoid,the pressur-egradient force and the vorticity have import ant effects on the variation of helicity,while the Coriolis force just makes effect when the horizontal scale is large.The effect factors of the horizontal helicity and the vertical helicity are different.The variation of horizontal helicity is affected mainly by the horizontal solenoid,vorticity and pressure-gradient force,while the variation of vertical helicity is closely related to the vertical pressure force and the buoy ancy force.Besides,they have different behavior with storm development and evolution.The positive anomaly of the horizontal helicity may be a precursor of a convective storm,while the positive anomaly of the vertical helicity may be a parameter,which may reflect the intensity and stability of a convective storm.How ever,these two kinds of helicity are relative and interactive.On the one hand,the positive anomaly of the horizontal helicity can contribute to the increase of the vertical helicity,in turn,the motion responding to high vertical helicity can affect the horizontal helicity.

     

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