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A theoretical framework for energy and momentum consistency in subgrid-scale parameterization for climate models
- Source :
- Journal of the Atmospheric Sciences. Oct, 2009, Vol. 66 Issue 10, p3095, 20 p.
- Publication Year :
- 2009
-
Abstract
- A theoretical framework for the joint conservation of energy and momentum in the parameterization of subgrid-scale processes in climate models is presented. The framework couples a hydrostatic resolved (planetary scale) flow to a nonhydrostatic subgrid-scale (mesoscale) flow. The temporal and horizontal spatial scale separation between the planetary scale and mesoscale is imposed using multiple-scale asymptotics. Energy and momentum are exchanged through subgrid-scale flux convergences of heat, pressure, and momentum. The generation and dissipation of subgrid-scale energy and momentum is understood using wave-activity conservation laws that are derived by exploiting the (mesoscale) temporal and horizontal spatial homogeneities in the planetary-scale flow. The relations between these conservation laws and the planetary-scale dynamics represent generalized nonacceleration theorems. A derived relationship between the wave-activity fluxes--which represents a generalization of the second Eliassen-Palm theorem--is key to ensuring consistency between energy and momentum conservation. The framework includes a consistent formulation of heating and entropy production due to kinetic energy dissipation.
Details
- Language :
- English
- ISSN :
- 00224928
- Volume :
- 66
- Issue :
- 10
- Database :
- Gale General OneFile
- Journal :
- Journal of the Atmospheric Sciences
- Publication Type :
- Academic Journal
- Accession number :
- edsgcl.210440443