A pseudoenergy wave-activity relation for ageostrophic and non-hydrostatic moist atmosphere

doi:10.1088/1674-1056/24/5/059201

Abstract By employing the energy-Casimir method, a three-dimensional virtual pseudoenergy wave-activity relation for a moist atmosphere is derived from a complete system of nonhydrostatic equations in Cartesian coordinates. Since this system of equations includes the effects of water substance, mass forcing, diabatic heating, and dissipations, the derived wave-activity relation generalizes the previous result for a dry atmosphere. The Casimir function used in the derivation is a monotonous function of virtual potential vorticity and virtual potential temperature. A virtual energy equation is employed (in place of the previous zonal momentum equation) in the derivation, and the basic state is stationary but can be three-dimensional or, at least, not necessarily zonally symmetric. The derived wave-activity relation is further used for the diagnosis of the evolution and propagation of meso-scale weather systems leading to heavy rainfall. Our diagnosis of two real cases of heavy precipitation shows that positive anomalies of the virtual pseudoenergy wave-activity density correspond well with the strong precipitation and are capable of indicating the movement of the precipitation region. This is largely due to the cyclonic vorticity perturbation and the vertically increasing virtual potential temperature over the precipitation region.

Keywords: energy-Casimir method pseudoenergy wave-activity relation wave-activity density

Received: 20 October 2014
Revised: 16 November 2014
Accepted manuscript online:

PACS:	92.60.N-	(Cloud physics and chemistry)
	92.60.Nv	(Cloud physics and chemistry)
	92.60.hk	(Convection, turbulence, and diffusion)

Fund: Project Project of CAMS, China (Grant No. 2011LASW-B15).

Corresponding Authors: Ran Ling-Kun
E-mail: rlk@mail.iap.ac.cn

About author: 92.60.N-; 92.60.Nv; 92.60.hk

Cite this article:

Ran Ling-Kun (冉令坤), Ping Fan (平凡) A pseudoenergy wave-activity relation for ageostrophic and non-hydrostatic moist atmosphere 2015 Chin. Phys. B 24 059201

[1]	Andrews D G 1983 J. Atmos. Sci. 40 1877
[2]	Andrews D G 1987 Q. J. R. Meteorol. Soc. 113 323
[3]	Andrews D G and McIntyre M E 1978 J. Fluid. Mech. 89 609
[4]	Huang R 1984 Adv. Atmos. Sci. 1 84
[5]	Magnusdottir G and Haynes P H 1996 J. Atmos. Sci. 53 2317
[6]	Murray D M 1998 J. Atmos. Sci. 55 2261
[7]	Ren S 2000 J. Atmos. Sci. 57 3388
[8]	Scinocca J F and Peltier W R 1994 J. Atmos. Sci. 51 613
[9]	Scinocca J F and Peltier W R 1994 J. Atmos. Sci. 51 623
[10]	Shepherd T G 1990 Adv. Geophys. 32 287
[11]	Scinocca J F and Shepherd T G 1992 J. Atmos. Sci. 49 5
[12]	Haynes P H 1988 J. Atmos. Sci. 45 2352
[13]	Boyd J P 1976 J. Atmos. Sci. 33 2285
[14]	Brunet G and Haynes P H 1996 J. Atmos. Sci. 53 482
[15]	Durran D R 1995 J. Atmos. Sci. 52 3997
[16]	Zhang K, Feng J 2005 Acta Phys. Sin. 54 2985 (in Chinese)
[17]	McIntyre M E and Shepherd T G 1987 J. Fluid. Mech. 181 527
[18]	Ran L and Gao S 2007 J. Atmos. Sci. 64 2126
[19]	Ran L and Boyd J P 2008 Chin. Phys. B 17 1138
[20]	Ran L and Chu Y 2009 Acta Phys. Sin. 58 8094 (in Chinese)
[21]	Zhou Y and Ran L 2010 Acta Phys. Sin. 59 1366 (in Chinese)
[22]	Ran L, Gao S and Cao J 2014 Chin. Phys. B 23 019201
[23]	Shen X, Qing T and Li X 2013 Chin. Phys. B 22 094213
[24]	Jiang Z, Li X, Zhou Y and Gao S 2012 Chin. Phys. B 21 054215
[25]	Gao S, Li X and Zhou Y 2014 Chin. Phys. B 23 024204
[26]	Ran L, Yang W and Chu Y 2010 Chin. Phys. B 19 079201
[27]	Ran L, Zhou Y and Yang W 2011 Acta Phys. Sin. 60 099201 (in Chinese)
[28]	Chu Y, Wang Z and Ran L 2013 Acta Phys. Sin. 62 099201 (in Chinese)
[29]	Skamarock W C, Klemp J B, Dudhia J, Gill D O, Barker D M, Wang W and Powers J G 2005 J. Comput. Phys. 227 3465
[30]	Xue M, Droegemeier K K, Wong V, Shapiro A, Brewster K, Carr F, Weber D, Liu Y and Wang D 2001 Meteorol. Atmos. Phys. 76 143
[31]	Li X, Sui C, Lau K and Chou M 1999 J. Atmos. Sci. 56 3028
[32]	Qiu C J and Xu Q 1992 J. Atmoc. Sci. 9 588
[33]	Gao S, Zhou Y, Cui X and Dai G 2004 Advance in Atmospheric Sciences 21 923

[1]	Wave-activity relation containing wave-basic flow interaction based on decomposition of general potential vorticity Na Li(李娜), Ling-Kun Ran(冉令坤), and Bao-Feng Jiao(焦宝峰). Chin. Phys. B, 2021, 30(4): 049201.

No Suggested Reading articles found!

Viewed

Full text

Abstract

Cited

Metrics
Related Articles

A pseudoenergy wave-activity relation for ageostrophic and non-hydrostatic moist atmosphere

Cite this article:

Online attention