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DOI | 10.1175/JAS-D-19-0080.1 |
Energy Decompositions for Moist Boussinesq and Anelastic Equations with Phase Changes | |
Marsico, David H.1; Smith, Leslie M.1,2; Stechmann, Samuel N.1,3 | |
2019-11-01 | |
发表期刊 | JOURNAL OF THE ATMOSPHERIC SCIENCES |
ISSN | 0022-4928 |
EISSN | 1520-0469 |
出版年 | 2019 |
卷号 | 76期号:11页码:3569-3587 |
文章类型 | Article |
语种 | 英语 |
国家 | USA |
英文摘要 | To define a conserved energy for an atmosphere with phase changes of water (such as vapor and liquid), motivation in the past has come from generalizations of dry energies-in particular, from gravitational potential energy rho gz. Here a new definition of moist energy is introduced, and it generalizes another form of dry potential energy, proportional to theta(2), which is valuable since it is manifestly quadratic and positive definite. The moist potential energy here is piecewise quadratic and can be decomposed into three parts, proportional to bu2Hu, bs2Hs, and (MHu)-H-2, which represent, respectively, buoyant energies and a moist latent energy that is released upon a change of phase. The Heaviside functions H-u and H-s indicate the unsaturated and saturated phases, respectively. The M-2 energy is also associated with an additional eigenmode that arises for a moist atmosphere but not a dry atmosphere. Both the Boussinesq and anelastic equations are examined, and similar energy decompositions are shown in both cases, although the anelastic energy is not quadratic. Extensions that include cloud microphysics are also discussed, such as the Kessler warm-rain scheme. As an application, empirical orthogonal function (EOF) analysis is considered, using a piecewise quadratic moist energy as a weighted energy in contrast to the standard L-2 energy. By incorporating information about phase changes into the energy, the leading EOF modes become fundamentally different and capture the variability of the cloud layer rather than the dry subcloud layer. |
英文关键词 | Clouds Energy transport Buoyancy Energy budget balance Fluxes Empirical orthogonal functions |
领域 | 地球科学 |
收录类别 | SCI-E |
WOS记录号 | WOS:000494455100003 |
WOS关键词 | AVAILABLE POTENTIAL-ENERGY ; EDDY SIMULATION ; CONVECTION ; CUMULUS ; DENSITY ; PARAMETERIZATION ; MAINTENANCE ; INSTABILITY ; CLOUDS |
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/225996 |
专题 | 环境与发展全球科技态势 |
作者单位 | 1.Univ Wisconsin, Dept Math, Madison, WI 53706 USA; 2.Univ Wisconsin, Dept Engn Phys, Madison, WI USA; 3.Univ Wisconsin, Dept Atmospher & Ocean Sci, Madison, WI USA |
推荐引用方式 GB/T 7714 | Marsico, David H.,Smith, Leslie M.,Stechmann, Samuel N.. Energy Decompositions for Moist Boussinesq and Anelastic Equations with Phase Changes[J]. JOURNAL OF THE ATMOSPHERIC SCIENCES,2019,76(11):3569-3587. |
APA | Marsico, David H.,Smith, Leslie M.,&Stechmann, Samuel N..(2019).Energy Decompositions for Moist Boussinesq and Anelastic Equations with Phase Changes.JOURNAL OF THE ATMOSPHERIC SCIENCES,76(11),3569-3587. |
MLA | Marsico, David H.,et al."Energy Decompositions for Moist Boussinesq and Anelastic Equations with Phase Changes".JOURNAL OF THE ATMOSPHERIC SCIENCES 76.11(2019):3569-3587. |
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