Changes between Version 95 and Version 96 of FluxLimitedDiffusion

Timestamp:

03/28/13 09:46:49 (12 years ago)

Author:

Jonathan

Comment:

—

FluxLimitedDiffusion

@@ -508 +508 @@
 === 2D etc... ===
 
-For 2D or 3D we have more connections to add to the matrix elements but it is very straight forward...  There will be additional alpha terms for each  dimension, but everything else stays the same.
+For 2D or 3D we have more connections to add to the matrix elements but it is very straight forward...  There will be additional alpha terms for each dimension - and the velocity components (v,,x,,) will change, but everything else stays the same.
 
 
@@ -565 +565 @@
  !* Also requires zeroing out stencil and source contributions from [[latex(E^{n+1}_{i-1} \mbox{ and } E^n_{i-1})]] 
 
-
-[[CollapsibleEnd()]]
+And for the semi implicit term
+
+|| Numerical value  ||  Boundary                  ||  [[latex(E^{n+1}_{i+1})]]        ||  [[latex(S)]] 
+||  0               ||  RAD_FREE_STREAMING        ||  [[latex(0)]]                    ||  [[latex(-\bar{\psi}c \frac{\Delta t}{\Delta x} E^n_i)]]    || 
+||  1               ||  RAD_EXTRAPOLATE_FLUX*     ||  [[latex(0)]]                    ||  [[latex(0)]]    ||
+||  2               ||  INTERNAL/PERIODIC         ||  [[latex(\frac{\psi\omega_i v_{x,i}}{1+\psi \phi^n_i})]]  ||  [[latex(-\frac{\bar{\psi}\omega_i v_{x,i}}{1+\psi \phi^n_i}) \left ( E^n_{i+1}-E^n_{i-1} \right ))]]  ||
+||  3               ||  RAD_REFLECTING            ||  [[latex(0)]]                    ||  [[latex(0)]]    ||
+||  4               ||  RAD_USERDEFINED_BOUNDARY/AMR_BOUNDARY  ||  [[latex(0)]]       ||   [[latex(\bar{\psi}\alpha_{i+1/2} \left ( E^n_{i+1}-E^n_i \right ) - \psi \alpha_{i+1/2} E^{n+1}_{i+1} )]]   ||
+||  5               ||  RAD_USERDEFINED_FLUX      ||  [[latex(0)]]                    ||     [[latex(F_0 \frac{\Delta t}{\Delta x})]]   ||
+
+
+[[CollapsibleEnd()]]