Changes between Version 19 and Version 20 of u/johannjc/scratchpad

Timestamp:

01/10/14 16:30:54 (11 years ago)

Author:

Jonathan

Comment:

—

u/johannjc/scratchpad

@@ -112 +112 @@
      source = source - flb*dt_diff/dx
 }}}
+
+in the limit of [[latex($T \rightarrow 0$)]] with a flux from the left...
+
+are equation becomes [[latex($\rho_i c_v T_i^{j+1} = \rho_i c_v T_i^j + \frac{\Delta t}{\Delta x} Q \delta_i^1$)]]
+
+and the total energy [[latex($E^{j+1}=\rho c_v \sum T_i^{j+1} \Delta x = E^{j} + \Delta t Q$)]]
+
+or [[latex($\dot{E} = Q$)]]