Changeset 701

Timestamp:

Mar 23, 2011 8:37:42 AM (14 years ago)

Author:

heinze

Message:

Bugfixes in description of cloud physics module

Location:

palm/trunk/DOC/tec/methods/cloud_physics

Files:

• cloud_physics.pdf (modified) (previous)
• cloud_physics.tex (modified) (5 diffs)

palm/trunk/DOC/tec/methods/cloud_physics/cloud_physics.tex

@@ -237 +237 @@
 gives
 \begin{eqnarray}
-  \overline q_{s} = \overline q_{s}(\overline T_{l})\frac{\left(1.0+\beta\,\overline q\right)}
+  \overline q_{s}(T) = \overline q_{s}(\overline T_{l})\frac{\left(1.0+\beta\,\overline q\right)}
     {1.0 + \beta\, \overline q_{s}(\overline{T_{l}})}.
  \label{eq:qs2}
@@ -244 +244 @@
 \begin{eqnarray}
   \overline q_{s}(\overline T_{l}) = 0.622\frac{\overline e_{s}(\overline T_{l})}
-    {p_{0}(z)-0.377\,\overline e_{s}(\overline T_{l})}
+    {p_{0}(z)-0.378\,\overline e_{s}(\overline T_{l})}
  \label{eq:qs3}
 \end{eqnarray}
@@ -266 +266 @@
 The hydrostatic pressure $p_{0}(z)$ is given by \cite{cuijpers93}:
 \begin{eqnarray}
- p_{0}(z) = p_{0}(z=0)\frac{T_{\mathrm{ref}}(z)^{c_{p}/R}}{T_{0}}
+ p_{0}(z) = p_{0}(z=0)\left(\frac{T_{\mathrm{ref}}(z)}{T_{0}}\right)^{c_{p}/R}
  \label{eq:p_0}
 \end{eqnarray}
@@ -285 +285 @@
  \overline q_{l} = 
  \begin{cases}
-   \overline q - \overline q_{s}(\overline T_{l}) & 
-   \textnormal{if} \quad \overline q > \overline q_{s}(\overline T_{l}) \\
+   \overline q - \overline q_{s}(\overline T) & 
+   \textnormal{if} \quad \overline q > \overline q_{s}(\overline T) \\
    0  & \textnormal{else}
   \end{cases}
@@ -427 +427 @@
    against numerical data. \textit{J. Atmos. Sci.}, \textbf{38}, 2414-2428.
  \bibitem[Cox (1976)]{cox76}
-   \textbf{Cox, S. K., 1976:} Observations of cloud infrared emissivity.
+   \textbf{Cox, S. K., 1976:} Observations of cloud infrared effective emissivity.
    \textit{J. Atmos. Sci.}, \textbf{33}, 287-289.
  \bibitem[Cuijpers and Duynkerke (1993)]{cuijpers93}