A Theoretical Framework for Energy and Momentum Consistency in Subgrid-Scale Parameterization for Climate Models Export

@article{citeulike:5945924, 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\&\#8212;which represents a generalization of the second Eliassen\&\#8211;Palm theorem\&\#8212;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.}, author = {Shaw, Tiffany A. and Shepherd, Theodore G.}, citeulike-article-id = {5945924}, citeulike-linkout-0 = {http://dx.doi.org/10.1175/2009JAS3051.1}, day = {1}, doi = {10.1175/2009JAS3051.1}, journal = {Journal of the Atmospheric Sciences}, keywords = {eliassen\_palm, parameterization}, month = {October}, number = {10}, pages = {3095--3114}, posted-at = {2009-10-15 20:22:01}, priority = {2}, title = {A Theoretical Framework for Energy and Momentum Consistency in Subgrid-Scale Parameterization for Climate Models}, url = {http://dx.doi.org/10.1175/2009JAS3051.1}, volume = {66}, year = {2009} }

TY - JOUR ID - citeulike:5945924 L3 - citeulike-article-id:5945924 N2 - 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. IS - 10 JF - Journal of the Atmospheric Sciences EP - 3114 TI - A Theoretical Framework for Energy and Momentum Consistency in Subgrid-Scale Parameterization for Climate Models VL - 66 SP - 3095 KW - eliassen_palm KW - parameterization AU - Shaw, Tiffany AU - Shepherd, Theodore PY - 2009/10/01/ UR - http://dx.doi.org/10.1175/2009JAS3051.1 ER -