Changes between Version 10 and Version 11 of doc/tec/lsm

Timestamp:

Apr 4, 2016 4:04:33 PM (9 years ago)

Author:

maronga

Comment:

--

doc/tec/lsm

@@ -14 +14 @@
 \end{equation*}
 }}}
-where ''C'',,0,, and ''T'',,0,, are the heat capacity and radiative temperature of the surface skin layer, respectively. ''R'',,n,,, ''H'', ''LE'', and ''G'' are the net radiation, sensible heat flux, latent heat flux, and ground (soil) heat flux at the surface, respectively. ''H'' is calculated as
+where ''C'',,0,, and ''T'',,0,, are the heat capacity and radiative temperature of the surface skin layer, respectively. ''R'',,n,,, ''H'', ''LE'', and ''G'' are the net radiation, sensible heat flux, latent heat flux, and ground (soil) heat flux at the surface, respectively. 
+
+=== Parameterization of ''H'' ===
+''H'' is calculated as
 {{{
 #!Latex
@@ -30 +33 @@
 where ''u'',,*,, and ''θ'',,*,, are the friction velocity and the characteristic temperature scale according to Monin-Obukhov similarity scaling.
 
+=== Parameterization of ''G'' ===
 ''G'' is parametrized as (Duynkerke 1999)
 {{{
@@ -37 +41 @@
 \end{equation*}
 }}}
-with ''Λ'' being the heat conductivity between skin layer and the soil, and ''T'',,soil,1,, being the temperature of the uppermost soil layer. The latent heat flux is calculated as 
+with ''Λ'' being the heat conductivity between skin layer and the soil, and ''T'',,soil,1,, being the temperature of the uppermost soil layer. 
+
+=== Parameterization of ''LE'' ===
+The latent heat flux is calculated as 
 {{{
 #!Latex
@@ -77 +84 @@
 $m_\mathrm{soil,1}$: Soil moisture of the uppermost layer)
 }}}
+
+=== Prognostic equation for the liquid water reservoir ===
+The prognostic equation for the liquid water stored on plants and bare soil ''m'',,liq,, reads
+{{{
+#!Latex
+\begin{equation*}
+\dfrac{d m_\mathrm{liq}}{dt} = \dfrac{LE_\mathrm{liq}}{\rho_\mathrm{l}\ l_\mathrm{v}}
+\end{equation*}
+}}}
+
+The total evapotranspiration is then calculated as
+{{{
+#!Latex
+\begin{equation*}
+LE = c_\mathrm{veg} (1 - c_\mathrm{liq})\ LE_\mathrm{veg} + c_\mathrm{liq}\ c_\mathrm{veg}\ LE_\mathrm{liq} + (1 - c_\mathrm{veg}) \ LE_\mathrm{soil}
+\end{equation*}
+}}}
+where ''c'',,veg,,, and ''c'',,liq,, is the surface fraction covered with vegetation and liquid water, respectively.
+
 
 == Soil model ==