8 | | == LSM Overview == |
9 | | {{{#!td style="vertical-align:top" |
10 | | {{{#!html |
11 | | <object type="application/pdf" data="http://palm.muk.uni-hannover.de/raw-attachment/wiki/doc/tec/lsm/2015_LSM.pdf#pagemode=&navpanes=1" width="950" height="750" > |
12 | | <a href="http://palm.muk.uni-hannover.de/raw-attachment/wiki/doc/tec/lsm/2015_LSM.pdf"> |
13 | | <img src="http://palm.muk.uni-hannover.de/chrome/site/gallery/pdf_icon.gif"> |
14 | | </a> |
15 | | No Adobe plugin found. You can download the file |
16 | | <a href="http://palm.muk.uni-hannover.de/raw-attachment/wiki/doc/tec/lsm/2015_LSM.pdf"> |
17 | | <b>LSM introduction</b> |
18 | | </a> instead. |
19 | | </object> |
20 | | }}} |
21 | | }}} |
| 8 | == Energy balance solver == |
| 9 | The energy balance of the Earth's surface reads |
| 10 | \begin{equation} |
| 11 | C_0 \dfrac{dT_0}{dt} = R_\mathrm{n} - H - LE - G |
| 12 | \label{eq:energybalance} |
| 13 | \end{equation} |
| 14 | where |
| 15 | {{{#!Latex $C_0$, $T_0$}}} |
| 16 | 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 |
| 17 | \begin{equation} |
| 18 | H = - \rho\ c_\mathrm{p}\ \dfrac{1}{r_\mathrm{a}} ( \theta_1 - \theta_0 ) |
| 19 | \end{equation} |
| 20 | 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. |
| 21 | |
| 22 | |
| 23 | == Soil model == |
| 24 | |
| 25 | == Usage == |
| 26 | |
| 27 | == References == |