Title of article :
Flux-conservative thermodynamic equations in a mass-weighted framework
Author/Authors :
B. CATRY، نويسنده , , J.-F. GELEYN، نويسنده , , M. TUDOR، نويسنده , , P. BENARD ، نويسنده , , A. TROJ?KOV?، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2007
Abstract :
set of equations, ready for discretization, is presented for the purely thermodynamic part of atmospheric energetics
along a vertical column. Considerations of kinetic energy budgets and detailed turbulence laws are left for further
study. The equations are derived in a total mass-based framework, both for the vertical coordinate system and for
the conservation laws. This results in the use of the full barycentric velocity as the vector of advection. Under these
conditions, the equations are derived from first principles on the basis of an a priori defined set of simplifying hypotheses.
The originality of the resulting set of equations is twofold. First, even in the presence of a full prognostic treatment
of cloud and precipitation processes, there exists a flux-conservative form for all relevant budgets, including that of
the thermodynamic equation. Secondly, the form of the state law that is obtained for the multiphase system allows the
flux-conservative form to be kept when going from the hydrostatic primitive equations system to the fully compressible
system and projecting then the heat source/sink on both temperature and pressure tendencies
Journal title :
Tellus. Series A
Journal title :
Tellus. Series A