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

Timestamp:

Apr 4, 2016 2:46:39 PM (9 years ago)

Author:

maronga

Comment:

--

doc/tec/lsm

@@ -8 +8 @@
 == Energy balance solver ==
 The energy balance of the Earth's surface reads
+{{{
+#!Latex
 \begin{equation}
    C_0 \dfrac{dT_0}{dt} = R_\mathrm{n} - H - LE - G
-  \label{eq:energybalance}
 \end{equation}
-where
-{{{#!Latex $C_0$, $T_0$}}} 
-are the heat capacity and radiative temperature of the surface skin layer, respectively. $R_\mathrm{n}$, $H$, $LE$, 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. ''H'' is calculated as
+{{{
+#!Latex
 \begin{equation}
   H = - \rho\ c_\mathrm{p}\ \dfrac{1}{r_\mathrm{a}} ( \theta_1 - \theta_0 )
 \end{equation}
-where $\rho$ is the density of the air, $c_\mathrm{p} = \unit[1005]{J\ kg^{-1} K^{-1}}$ is the specific heat at constant pressure, $r_\mathrm{a}$ is the aerodynamic resistance, and $\theta_0$ and $\theta_1$ are the potential temperature at the surface and at the first grid level above the surface, respectively. $r_\mathrm{a}$ is calculated via Monin-Obukhov similarity theory, based on roughness lengths for heat and momentum and the assumption of a constant flux layer between the surface and the first grid level.
-
+}}}
+where ''ρ'' is the density of the air, ''c'',,p,, = 1005 J kg^-1^ K^-1^$ is the specific heat at constant pressure, ''r'',,a,, is the aerodynamic resistance, and ''θ'',,0,, and ''θ'',,1,, are the potential temperature at the surface and at the first grid level above the surface, respectively. ''r'',,a,, is calculated via Monin-Obukhov similarity theory, based on roughness lengths for heat and momentum and the assumption of a constant flux layer between the surface and the first grid level.
 
 == Soil model ==