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MOLOCH

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... Averaged continuity Eddy continuity Averaged scalar equation Density and pressure fluctuations are neglected except in buoyancy term Closure hypothesis: ... – PowerPoint PPT presentation

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Title: MOLOCH


1
MOLOCH MOdello LOCale in H coordinates
ISTITUTO DI SCIENZE DELL'ATMOSFERA E DEL CLIMA ,
ISAC-CNR
2
Dinamica
Radiazione
Microfisica
MOLOCH
Turbolenza
Suolo
3
Governing equations
4
H-Coordinate
Terrain following vertical coordinate H
The vertical scale H is given by the density
scale height
5
Inverse formula
Vertical derivative transformation
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
where
is the partial pressure of water vapor
and
(610.6 Pa)
12
Partial pressure at saturation (Pressman) with
respect to water and ice
13
Turbulence
Density and pressure fluctuations are neglected
except in buoyancy term
Averaged continuity
Eddy continuity
Averaged scalar equation
14
Closure hypothesis Turbulent fluxes of a scalar
quantity
15
Divergence of turbulent fluxes
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
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