MOLOCH – MOdello LOCale in H coordinates ISTITUTO DI SCIENZE DELL'ATMOSFERA E DEL CLIMA, ISAC-CNR.

Presentazione sul tema: "MOLOCH – MOdello LOCale in H coordinates ISTITUTO DI SCIENZE DELL'ATMOSFERA E DEL CLIMA, ISAC-CNR."— Transcript della presentazione:

1 MOLOCH – MOdello LOCale in H coordinates ISTITUTO DI SCIENZE DELL'ATMOSFERA E DEL CLIMA, ISAC-CNR

2 Dinamica Microfisica Suolo Turbolenza Radiazione MOLOCH

3 Governing equations

4 The vertical scale H is given by the density scale height Terrain following vertical coordinate H H-Coordinate

5 Vertical derivative transformation Inverse formula

6 Trasformazione delle coordinate Trasformazione di uno scalare Trasformazione del gradiente di uno scalare Matrice Jacobiana

7 Coordinate H Matrice Jacobiana Inversa della Matrice Jacobiana

8 Horizontal derivative transformation Lagrangian time derivative

9 Generalized vertical velocity Divergence Continuity

10 Pressure Gradient Force

11 Conservation of entropy during microphysical processes whereis the partial pressure of water vapor and (=610.6 Pa)

12 Partial pressure at saturation (Pressman) with respect to water and ice

13 Turbulence Averaged continuity Eddy continuity Averaged scalar equation Density and pressure fluctuations are neglected except in buoyancy term

14 Closure hypothesis: Turbulent fluxes of a scalar quantity

15 Divergence of turbulent fluxes over flat terrain (one dimensional)

16 Turbulent kinetic energy equation in H-coordinates Buoyancy generation term

17 Closure: Energy redistribution hypothesis