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Workspace Method psdMilbrandtYau05

Description

Calculates psd_data and  dpsd_data_dx following Milbrandt and Yau (2005)
two moment particle size distribution for cloud water, cloud ice,
rain, snow, graupel and hail, which is used in the GEM model.

WSM for use in pnd_agenda_array for mapping particle_bulkprop_field
to pnd_field using pnd_fieldCalcFromParticleBulkProps.
Produces the particle size distribution values (dN/dD) and their
derivates with respect to independent variables x by dpnd_data_dx_names
over multiple particle sizes and atmospheric levels (or SWC/T
combinations).

psd_size_grid is considered to be in terms of maximum diameter.
WC is considered to be in terms of mass content (or mass density),
ie. units of [kg/m3]. N_tot in terms of number density, ie. units of [1/m3] .
Derivatives with respect to WC and N_tot are obtained analytically.

Six particle size distributions for the different hydrometeors are handled,
governed by setting of *hydrometeor_type*, where 
    "cloud_water" selects cloud liquid water , 
    "cloud_ice" selects cloud ice, 
    "snow" selects snow, 
    "rain" selects rain, 
    "graupel" selects graupel, and 
    "hail" selects hail, 

Requirements:

pnd_agenda_input_names must include :
    ["X-mass_density", "X-number_density" ]. "X" is an arbitrary name
The entries in  dpnd_data_dx_names (ie. the allowed
independent variablea ) can be "X-mass_density" and\or 
"X-number_density".

The validity range of WC is not limited. Negative WC will produce
negative psd values following a distribution given by abs(WC), ie.
abs(psd)=f(abs(WC)).

If temperature is outside [*t_min*,*t_max*] psd=0 and dpsd=0 if
picky=0, or an error is thrown if picky=1.

Authors: Manfred Brath

Synopsis

Variables