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DOI | 10.1175/JAS-D-18-0065.1 |
A Stochastic Lagrangian Basis for a Probabilistic Parameterization of Moisture Condensation in Eulerian Models | |
Tsang, Yue-Kin1; Vallis, Geoffrey K.2 | |
2018-11-01 | |
发表期刊 | JOURNAL OF THE ATMOSPHERIC SCIENCES |
ISSN | 0022-4928 |
EISSN | 1520-0469 |
出版年 | 2018 |
卷号 | 75期号:11页码:3925-3941 |
文章类型 | Article |
语种 | 英语 |
国家 | England |
英文摘要 | In this paper, we describe the construction of an efficient probabilistic parameterization that could be used in a coarse-resolution numerical model in which the variation of moisture is not properly resolved. An Eulerian model using a coarse-grained field on a grid cannot properly resolve regions of saturation-in which condensation occurs-that are smaller than the grid boxes. Thus, in the absence of a parameterization scheme, either the grid box must become saturated or condensation will be underestimated. On the other hand, in a stochastic Lagrangian model of moisture transport, trajectories of parcels tagged with humidity variables are tracked, and small-scale moisture variability can be retained; however, explicitly implementing such a scheme in a global model would be computationally prohibitive. One way to introduce subgrid-scale saturation into an Eulerian model is to assume the humidity within a grid box has a probability distribution. To close the problem, this distribution is conventionally determined by relating the required subgrid-scale properties of the flow to the grid-scale properties using a turbulence closure. Here, instead, we determine an assumed probability distribution by using the statistical moments from a stochastic Lagrangian version of the system. The stochastic system is governed by a Fokker-Planck equation, and we use that, rather than explicitly following the moisture parcels, to determine the parameters of the assumed distribution. We are thus able to parameterize subgrid-scale condensation in an Eulerian model in a computationally efficient and theoretically well-founded way. In two idealized advection-condensation problems, we show that a coarse Eulerian model with the subgrid parameterization is well able to mimic its Lagrangian counterpart. |
英文关键词 | Lagrangian circulation transport Condensation Water vapor Cloud parameterizations Parameterization Stochastic models |
领域 | 地球科学 |
收录类别 | SCI-E |
WOS记录号 | WOS:000448364800001 |
WOS关键词 | BOUNDARY-LAYER ; SUBTROPICAL HUMIDITY ; WATER-VAPOR ; PART I ; CLOUDS ; SCHEME ; TRAJECTORIES ; COMPUTATION ; TRACERS ; AIR |
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/29536 |
专题 | 地球科学 |
作者单位 | 1.Univ Leeds, Sch Math, Leeds, W Yorkshire, England; 2.Univ Exeter, Coll Engn Math & Phys Sci, Exeter, Devon, England |
推荐引用方式 GB/T 7714 | Tsang, Yue-Kin,Vallis, Geoffrey K.. A Stochastic Lagrangian Basis for a Probabilistic Parameterization of Moisture Condensation in Eulerian Models[J]. JOURNAL OF THE ATMOSPHERIC SCIENCES,2018,75(11):3925-3941. |
APA | Tsang, Yue-Kin,&Vallis, Geoffrey K..(2018).A Stochastic Lagrangian Basis for a Probabilistic Parameterization of Moisture Condensation in Eulerian Models.JOURNAL OF THE ATMOSPHERIC SCIENCES,75(11),3925-3941. |
MLA | Tsang, Yue-Kin,et al."A Stochastic Lagrangian Basis for a Probabilistic Parameterization of Moisture Condensation in Eulerian Models".JOURNAL OF THE ATMOSPHERIC SCIENCES 75.11(2018):3925-3941. |
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