Global S&T Development Trend Analysis Platform of Resources and Environment
DOI | 10.1175/JAS-D-17-0023.1 |
Precipitating Quasigeostrophic Equations and Potential Vorticity Inversion with Phase Changes | |
Smith, Leslie M.1,2; Stechmann, Samuel N.1,3 | |
2017-10-01 | |
发表期刊 | JOURNAL OF THE ATMOSPHERIC SCIENCES
![]() |
ISSN | 0022-4928 |
EISSN | 1520-0469 |
出版年 | 2017 |
卷号 | 74期号:10 |
文章类型 | Article |
语种 | 英语 |
国家 | USA |
英文摘要 | Precipitating versions of the quasigeostrophic (QG) equations are derived systematically, starting from the equations of a cloud-resolving model. The presence of phase changes of water from vapor to liquid and vice versa leads to important differences from the dry QG case. The precipitating QG (PQG) equations, in their simplest form, have two variables to describe the full system: a potential vorticity (PV) variable and a variable M including moisture effects. A PV-and-M inversion allows the determination of all other variables, and it involves an elliptic partial differential equation (PDE) that is nonlinear because of phase changes between saturated and unsaturated regions. An example PV-and-M inversion is provided for an idealized cold-core cyclone with two vertical levels. A key point illustrated by this example is that the phase interface location is unknown a priori from PV and M, and it is discovered as part of the inversion process. Several choices of a moist PV variable are discussed, including subtleties that arise because of phase changes. Boussinesq and anelastic versions of the PQG equations are described, as well as moderate and asymptotically large rainfall speeds. An energy conservation principle suggests that the model has firm physical and mathematical underpinnings. Finally, an asymptotic analysis provides a systematic derivation of the PQG equations, which arise as the limiting dynamics of a moist atmosphere with phase changes, in the limit of rapid rotation and strong stratification in terms of both potential temperature and equivalent potential temperature. |
领域 | 地球科学 |
收录类别 | SCI-E |
WOS记录号 | WOS:000411637700009 |
WOS关键词 | LATENT-HEAT RELEASE ; BAROCLINIC INSTABILITY ; MOIST ATMOSPHERE ; CONVECTION ; TURBULENCE ; EDDIES ; MODEL ; PARAMETERIZATION ; DISTURBANCES ; CYCLOGENESIS |
WOS类目 | Meteorology & Atmospheric Sciences |
WOS研究方向 | Meteorology & Atmospheric Sciences |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://119.78.100.173/C666/handle/2XK7JSWQ/29276 |
专题 | 地球科学 |
作者单位 | 1.Univ Wisconsin Madison, Dept Math, Madison, WI 53706 USA; 2.Univ Wisconsin Madison, Dept Engn Phys, Madison, WI USA; 3.Univ Wisconsin Madison, Dept Atmospher & Ocean Sci, Madison, WI 53706 USA |
推荐引用方式 GB/T 7714 | Smith, Leslie M.,Stechmann, Samuel N.. Precipitating Quasigeostrophic Equations and Potential Vorticity Inversion with Phase Changes[J]. JOURNAL OF THE ATMOSPHERIC SCIENCES,2017,74(10). |
APA | Smith, Leslie M.,&Stechmann, Samuel N..(2017).Precipitating Quasigeostrophic Equations and Potential Vorticity Inversion with Phase Changes.JOURNAL OF THE ATMOSPHERIC SCIENCES,74(10). |
MLA | Smith, Leslie M.,et al."Precipitating Quasigeostrophic Equations and Potential Vorticity Inversion with Phase Changes".JOURNAL OF THE ATMOSPHERIC SCIENCES 74.10(2017). |
条目包含的文件 | 条目无相关文件。 |
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。
修改评论