Changes between Version 46 and Version 47 of FluxLimitedDiffusion

Timestamp:

03/21/13 12:50:43 (12 years ago)

Author:

Jonathan

Comment:

—

FluxLimitedDiffusion

@@ -253 +253 @@
 === Constant Slope Boundary ===
 Here we want the flux to be constant so energy does not pile up near the boundary
-[[latex(E^{n+1}_g=2 E^{n+1}_i - E^{n-1}_j \mbox{ and } E^n_g=2 E^n_i-E^n_j)]] where cell 'j' is interior of cell 'i'.
+[[latex(E^{n+1}_g=2 E^{n+1}_i - E^{n-1}_j \mbox{ and } E^n_g=2 E^n_i-E^n_j)]] where cell 'j' is interior of cell 'i'. Then we would set [[latex(\alpha_i = \alpha_i-\alpha_g)]] and set [[latex(\alpha_g = 0)]]
 
 === Reflecting Boundary ===
@@ -272 +272 @@
 
 
-||  Boundary  ||  [[latex(\alpha)]]  ||  [[latex(S)]]  ||
-||  Open  ||   [[latex(c \frac{\Delta t}{\Delta x})]]   ||   0   ||
-||  User-Defined opacity and Temperature   ||   [[latex(\alpha_g)]]    ||   [[latex(\alpha_g \frac{4 \pi}{c} B(T_g))]]   ||
+Always kill the matrix coefficient to a physical boundary and add an additional [[latex(\psi \alpha_g E_g)]] to the source vector
+
+||  Boundary  ||  [[latex(\alpha_g)]]  ||  [[latex(\alpha_i)]]   ||  [[latex(E_g)]] ||[[latex(S)]]  ||
+||  Open  ||   [[latex(c \frac{\Delta t}{\Delta x})]]   ||    ||  [[latex(0)]]     ||  ||
+||  User-Defined opacity and Temperature   ||     ||       ||   [[latex( \frac{4 \pi}{c} B(T_g))]]   ||   ||
 ||  Extrapolate radiation density   ||   ||   ||
-||  Reflecting   ||   [[latex(0)]]   ||   [[latex(0)]]   ||
-||  User-Defined Flux   ||   [[latex(0)]]   ||   [[latex(F_0 \frac{\Delta t}{\Delta x})]]   ||
+||  Extrapolate Flux  ||  [[latex(0)]]   ||  [[latex(0)]]  ||  ||  ||
+||  Reflecting   ||   [[latex(0)]]   ||  ||    ||  ||
+||  User-Defined Flux   ||   [[latex(0)]]   ||  ||  || [[latex(F_0 \frac{\Delta t}{\Delta x})]]   ||