Changes between Version 15 and Version 16 of doc/tec/microphysics
- Timestamp:
- Jul 4, 2017 2:43:58 PM (8 years ago)
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doc/tec/microphysics
v15 v16 1 1 = Cloud mircrophysics = 2 2 3 PALM offers an embedded bulk cloud microphysics representation that takes into account the liquid water specific humidity and warm (i.e., no ice) cloud-microphysical processes. Therefore, PALM solves the prognostic equations for the total water content3 PALM offers an embedded bulk cloud microphysics representation that takes into account warm (i.e., no ice) cloud-microphysical processes. Therefore, PALM solves the prognostic equations for the total water mixing ratio 4 4 {{{ 5 5 #!Latex … … 19 19 20 20 Liquid phase microphysics are parametrized following the two-moment scheme of [#seifert2001 Seifert and Beheng (2001],[#seifert2006 2006)], which is based on the separation of the droplet spectrum into droplets with radii < 40 μm (cloud droplets) and droplets with radii ≥ 40 μm (rain droplets). The model predicts the first two moments of these partial droplet spectra, namely cloud and rain 21 droplet number concentration (''N'',,c,, and ''N'',,r,,, respectively) as well as cloud and rain water specific humidity21 droplet number concentration (''N'',,c,, and ''N'',,r,,, respectively) as well as cloud and rain water mixing ratio 22 22 (''q'',,c,, and ''q'',,r,,, respectively). Consequently, ''q'',,l,, is the sum of both ''q'',,c,, and ''q'',,r,,. The moments' corresponding microphysical tendencies are derived by assuming the partial droplet spectra to follow a gamma distribution that can be described by the predicted quantities and empirical relationships for the distribution's slope and shape parameters. For a detailed derivation of these terms, see [#seifert2001 Seifert and Beheng (2001],[#seifert2006 2006)]. 23 23 … … 76 76 \end{align*} 77 77 }}} 78 where ''q'',,s,, is the saturation specific humidity. Because ''q'',,s,, is a function of ''T'' (not predicted), ''q'',,s,, is computed from the liquid water temperature ''T'',,l,, = ''Π θ,,l,, in a first step:78 where ''q'',,s,, is the saturation mixing ratio. Because ''q'',,s,, is a function of ''T'' (not predicted), ''q'',,s,, is computed from the liquid water temperature ''T'',,l,, = ''Π θ,,l,, in a first step: 79 79 {{{ 80 80 #!Latex