Changes between Version 34 and Version 35 of doc/tec/microphysics

Timestamp:

May 22, 2018 3:12:52 PM (7 years ago)

Author:

schwenkel

Comment:

--

doc/tec/microphysics

@@ -129 +129 @@
 }}}
 where S is the supersaturation, ''R'',,c,, the integral radius and G(T,p) a function of temperature and pressure considering heat conductivity and diffusion.
-Using this explicit approach the used timestep must fulfill a new criterion, since it is assumed that the supersaturation is constant during one timestep. The typical timescale is given by [#arnason1971 Arnason and Brown (1971)]
-#!Latex
-\begin{align*}
-  & \Delta t =
+Using this explicit approach the used timestep must fulfill a new criterion, since it is assumed that the supersaturation is constant during one timestep. The typical diffusion timescale is given by [#arnason1971 Arnason and Brown (1971)] with
+{{{
+#!Latex
+\begin{align*}
+  & \Delta t \leq 2 \tau
+\end{align*}
+}}}
+with
+{{{
+#!Latex
+\begin{align*}
+  & \tau = (4\, \pi\,D_\mathrm{v}\,\langle r_\mathrm{c}\rangle)^{-1}
 \end{align*}
 }}}