Title: PQG-DL-Ekman: a triple-deck boundary layer theory for large-scale atmospheric flow with moist process closures Show Chinese title

Title: PQG-DL-Ekman：一种包含湿过程闭合的大尺度大气流动三段边界层理论

Abstract: Reduced mathematical models for atmospheric dynamics at various scales have a long and rich history. However, versions of such models that explicitly incorporate moisture and phase changes have been developed only fairly recently. This work merges one of said modeling innovations, namely Smith and Stechmann's \emph{precipitating quasigeostrophic} (PQG) model family, with a triple-deck boundary layer theory due to Klein et al.~that extends the classical QG-Ekman theory by an intermediate \emph{diabatic layer} (DL). A detailed analysis of the Clausius-Clapeyron relation and Kessler-type bulk microphysics closures is included in the systematic derivation of the resulting PQG-DL-Ekman theory. Furthermore, to illustrate some of the model's properties, explicit axisymmetric solutions of the precipitating diabatic layer equations are derived and combined with numerical sample solutions for the bulk flow. Show Chinese abstract

Abstract: 减少的数学模型用于不同尺度的大气动力学，有着悠久而丰富的历史。 然而，明确包含湿度和相变的此类模型只有在最近才被开发出来。 本研究将其中一种建模创新，即Smith和Stechmann的\emph{促使准地转的}（PQG）模型族，与Klein等人提出的三段边界层理论相结合，该理论通过中间的\emph{绝热层}（DL）扩展了经典的QG-Ekman理论。 在系统推导出的PQG-DL-Ekman理论中，包括对Clausius-Clapeyron关系和Kessler型整体微物理闭合的详细分析。 此外，为了说明模型的一些特性，推导了降水非绝热层方程的显式轴对称解，并将其与整体流的数值样本解结合。