2012
DOI: 10.1175/jas-d-11-0324.1
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A Detailed Normal-Mode Energetics of the General Circulation of the Atmosphere

Abstract: An energetics formulation is here introduced that enables an explicit evaluation for the conversion rates between available potential energy and kinetic energy, the nonlinear interactions of both energy forms, and their generation and dissipation rates, in both the zonal wavenumber and vertical mode domains. The conversion rates between available potential energy and kinetic energy are further decomposed into the contributions by the rotational (Rossby) and divergent (gravity) components of the circulation fie… Show more

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Cited by 14 publications
(29 citation statements)
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“…Tanaka (1985) and Tanaka and Kung (1988) derived a 3-D normal-mode scheme for the pressure vertical coordinate. The method was applied to a number of research topics ranging from baroclinicity (Kasahara and Tanaka, 1989) and blocking (Tanaka and Terasaki, 2006) to global energetics and energy conversion studies (Tanaka and Kimura, 1996;Marques and Castanheira, 2012). In the case of the pressure system, global circulation is represented by winds and geopotential on 10-20 standard-pressure levels.…”
Section: N žAgar Et Al: Normal-mode Function Representation: Softwamentioning
confidence: 99%
“…Tanaka (1985) and Tanaka and Kung (1988) derived a 3-D normal-mode scheme for the pressure vertical coordinate. The method was applied to a number of research topics ranging from baroclinicity (Kasahara and Tanaka, 1989) and blocking (Tanaka and Terasaki, 2006) to global energetics and energy conversion studies (Tanaka and Kimura, 1996;Marques and Castanheira, 2012). In the case of the pressure system, global circulation is represented by winds and geopotential on 10-20 standard-pressure levels.…”
Section: N žAgar Et Al: Normal-mode Function Representation: Softwamentioning
confidence: 99%
“…The first vertical structure in this new basis is a pure barotropic mode and the projection of an atmospheric variable on to the first mode represents exactly the mass-weighted vertical average of the variable. Performing vertical mode and zonal wave number (Fourier) expansions, one obtains the same set of balance equations for the kinetic energy (K) and available potential energy (A) as obtained by Marques and Castanheira (2012):…”
Section: Energy Cyclementioning
confidence: 99%
“…where T 0 (p) is the temperature of the reference state and R and c p are the specific constant and the specific heat capacity of dry air, respectively. Marques and Castanheira (2012) used two boundary conditions usually found in the literature (e.g. Kasahara, 1984):…”
Section: A1 Vertical Structure Functionsmentioning
confidence: 99%
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