Changes between Version 7 and Version 8 of doc/tec/noncyclic

Timestamp:

May 8, 2013 2:18:03 PM (12 years ago)

Author:

fricke

Comment:

--

doc/tec/noncyclic

@@ -148 +148 @@
 {{{
 #!Latex
-  m = \sum_{k=1}^{nz-1} \Delta z(k) \sum_{l=0}^{nx_i} \psi(l,k) \Delta x_i \; . \quad (12)
+ \dot{m} = \sum_{k=1}^{nz-1} \Delta z(k) \sum_{l=0}^{nx_i} \psi(l,k) \Delta x_i \; , \quad (12)
 }}}
+where Δx,,i,, and ψ is equal to Δy (Δx) and u (v) in case of [../../app/inipar/#bc_lr bc_lr] ([../../app/inipar/#bc_ns bc_ns]).
+The correction factor for the outflow velocity, which is necessary due to different mass fluxes at inflow and outflow, can be calculated by
+{{{
+#!Latex
+ \psi_{corr} = \frac{\dot{m}_{inflow} - \dot{m}_{outflow}}{A} \; , \quad (13)
+}}}
+where A is the area of the boundary
+{{{
+#!Latex
+ A = \sum_1^{nz-1} \Delta z \cdot \sum_0^{nx_i} \Delta x_i \; .
+}}
+The streamwise velocity at the outflow is corrected by adding ψ,,corr,, at each grid point of the outflow between bottom and top (k=1:nz), in order to guarantee that the mass leaving the domain exactly balances the one entering it.