Changes between Version 5 and Version 6 of doc/tec/sgs

Timestamp:

Apr 14, 2016 11:48:20 AM (9 years ago)

Author:

Giersch

Comment:

--

doc/tec/sgs

@@ -3 +3 @@
 = Turbulence closure =
 
-One of the main challenges in LES modeling is the turbulence closure. The filtering process yields four SGS covariance terms (see the first five equations at [wiki:doc/tec/gov governing equations]) that cannot be explicitly calculated. In PALM, these SGS terms are parametrized using a 1.5-order closure after [#deardorff Deardorff (1980)]. PALM uses the modified version of [#moeng Moeng and Wyngaard (1988)] and [#saiki Saiki et al. (2000)]. The closure is based on the assumption that the energy transport by SGS eddies is proportional to the local gradients of the mean quantities and reads
+One of the main challenges in LES modeling is the turbulence closure. The filtering process yields four SGS covariance terms (see the first five equations Sect. [wiki:doc/tec/gov governing equations]) that cannot be explicitly calculated. In PALM, these SGS terms are parametrized using a 1.5-order closure after [#deardorff Deardorff (1980)]. PALM uses the modified version of [#moeng Moeng and Wyngaard (1988)] and [#saiki Saiki et al. (2000)]. The closure is based on the assumption that the energy transport by SGS eddies is proportional to the local gradients of the mean quantities and reads
 {{{
 #!Latex
@@ -65 +65 @@
 \end{align*}
 }}}
-Since ''θ'',,v,, depends on ''θ'', ''q'',,v,,, and ''q'',,l,, (see last equation at [wiki:doc/tec/gov governing equations]), the vertical SGS buoyancy flux depends on the respective SGS fluxes ([#stull Stull, 1988, Chap. 4.4.5]):
+Since ''θ'',,v,, depends on ''θ'', ''q'',,v,,, and ''q'',,l,, (see last equation Sect. [wiki:doc/tec/gov governing equations]), the vertical SGS buoyancy flux depends on the respective SGS fluxes ([#stull Stull, 1988, Chap. 4.4.5]):
 {{{
 #!Latex
@@ -92 +92 @@
 \end{align*}
 }}}
-Note that this parametrization of the SGS buoyancy flux differs from that used with bulk cloud microphysics (see Sect. [wiki:doc/tec/microphysics#Turbulenceclosure cloud microphysics]).
+Note that this parametrization of the SGS buoyancy flux differs from that used with bulk cloud microphysics (see Sect. [wiki:doc/tec/microphysics#Turbulenceclosure turbulence closure in cloud microphysics]).
 
 == References ==