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刘赛赛, 赵艳玲, 张瑰, 等. 2023. 改进湿位涡倾向方程的分解和应用[J]. 气候与环境研究, 28(2): 173−182. doi: 10.3878/j.issn.1006-9585.2022.21164
引用本文: 刘赛赛, 赵艳玲, 张瑰, 等. 2023. 改进湿位涡倾向方程的分解和应用[J]. 气候与环境研究, 28(2): 173−182. doi: 10.3878/j.issn.1006-9585.2022.21164
LIU Saisai, ZHAO Yanling, ZHANG Gui, et al. 2023. Decomposition and Application of the Modified Moist Potential Vorticity Tendency Equation [J]. Climatic and Environmental Research (in Chinese), 28 (2): 173−182. doi: 10.3878/j.issn.1006-9585.2022.21164
Citation: LIU Saisai, ZHAO Yanling, ZHANG Gui, et al. 2023. Decomposition and Application of the Modified Moist Potential Vorticity Tendency Equation [J]. Climatic and Environmental Research (in Chinese), 28 (2): 173−182. doi: 10.3878/j.issn.1006-9585.2022.21164

改进湿位涡倾向方程的分解和应用

Decomposition and Application of the Modified Moist Potential Vorticity Tendency Equation

  • 摘要: 对改进湿位涡倾向方程做了理论分析和讨论,并通过一次台风过程做了验证,所得主要结论有:该方程可分解为干、湿分量倾向方程。在无摩擦和干绝热情况下,改进湿位涡的干分量具有保守性,该方程即为Ertel位涡倾向方程。在某些中小尺度天气系统中,湿物质梯度项对改进湿位涡的个别变化会有较明显影响,故该倾向方程更适用于该天气系统的诊断分析。利用改进湿位涡分解得到的干、湿位涡倾向方程,可得到显含湿物质梯度项的升级虚位涡方程、升级湿位涡方程,而这使得位涡诊断更加精细。本文对各类位涡倾向方程中凝结加热的作用做了分析,发现Ertel位涡倾向方程存在高估凝结加热的情况,使用改进湿位涡倾向方程对其进行部分凝结潜热扣除,应该有较好的诊断效果。改进湿位涡倾向方程减去经典湿位涡倾向方程后的结果能够合理反映凝结加热的作用,故用于梅雨锋暴雨和热带气旋等以凝结加热为主的天气系会有更佳的诊断效果。

     

    Abstract: In this study, the modified moist potential vorticity tendency equation is theoretically analyzed, discussed, and verified in a typhoon process. The main conclusions are as follows: The modified moist potential vorticity tendency equation can be decomposed into dry and moist component tendency equations. Without regard to the moisture species and friction, the dry component of the modified moist potential vorticity tendency equation is conservative, and it is the same as the Ertel potential vorticity tendency equation. The moisture gradient term has an obvious effect on the variation of the modified moist potential vorticity; thus, the tendency equation is more suitable for diagnosing and analyzing some mesoscale and microscale weather systems. With the same decomposition method, the upgraded virtual potential vorticity tendency equation and the upgraded equivalent moist potential vorticity tendency equation can be derived. After this upgrade, these equations now include the moisture gradient term, which potentially makes the potential vorticity diagnosis more precise. By analyzing the latent heat of condensation in various potential vorticity tendency equations, we determined that the Ertel potential vorticity tendency equation overestimates the effect of the latent heat of condensation, whereas the modified moist potential vorticity tendency equation can deduct some of the latent heat of condensation; thus, it should have a better diagnostic effect. The result of subtracting the modified moist potential vorticity tendency equation and the equivalent moist potential vorticity tendency equation can reasonably reflect the effect of the latent heat of condensation. Therefore, it can have a better diagnostic effect for the Meiyu front rainstorm and tropical cyclones, where the latent heat of condensation plays a major role.

     

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