Title: MOLOCH
1MOLOCH MOdello LOCale in H coordinates
ISTITUTO DI SCIENZE DELL'ATMOSFERA E DEL CLIMA ,
ISAC-CNR
2Dinamica
Radiazione
Microfisica
MOLOCH
Turbolenza
Suolo
3Governing equations
4H-Coordinate
Terrain following vertical coordinate H
The vertical scale H is given by the density
scale height
5Inverse formula
Vertical derivative transformation
6Trasformazione delle coordinate
Trasformazione di uno scalare
Trasformazione del gradiente di uno scalare
Matrice Jacobiana
7Coordinate H
Matrice Jacobiana
Inversa della Matrice Jacobiana
8Horizontal derivative transformation
Lagrangian time derivative
9Generalized vertical velocity
Divergence
Continuity
10Pressure Gradient Force
11Conservation of entropy during microphysical
processes
where
is the partial pressure of water vapor
and
(610.6 Pa)
12Partial pressure at saturation (Pressman) with
respect to water and ice
13Turbulence
Density and pressure fluctuations are neglected
except in buoyancy term
Averaged continuity
Eddy continuity
Averaged scalar equation
14Closure hypothesis Turbulent fluxes of a scalar
quantity
15Divergence of turbulent fluxes
Divergence of turbulent fluxes over flat terrain
(one dimensional)
16Turbulent kinetic energy equation in H-coordinates
Buoyancy generation term
17Closure Energy redistribution hypothesis