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