Changes between Version 110 and Version 111 of FluxLimitedDiffusion

Timestamp:

03/28/13 12:41:47 (12 years ago)

Author:

Jonathan

Comment:

—

FluxLimitedDiffusion

@@ -468 +468 @@
 [[latex(\theta = \epsilon^n_i \frac{4 \pi}{c} B \left ( T^n_i \right ) \left ( 1 - 4\Gamma \frac{e^n_i}{T^n_i} \right ) )]]
 
+and we can think of the radiative flux as
+
+[[latex(\frac{\Delta t}{\Delta x}\mathbf{F}^n_{i+1/2} = \alpha^n_{i+1/2} \left ( E^{*}_{i+1} - E^{*}_i \right ) )]]
+
 and
 
-where [[latex(\omega_{i} = \frac{\lambda_i \Delta t}{\Delta x} \left ( \frac{\kappa_{0P,i}}{\kappa_{0R,i}}-\frac{1}{2} \right ) )]]
-
-and we can think of the radiative flux as
-
-[[latex(\frac{\Delta t}{\Delta x}\mathbf{F}^n_{i+1/2} = \alpha^n_{i+1/2} \left ( E^{*}_{i+1} - E^{*}_i \right ) )]]
+where [[latex(\omega_{i} = \frac{\lambda_i \Delta t}{\Delta x} \left ( \frac{\kappa_{0P,i}}{\kappa_{0R,i}}-\frac{1}{2} \right ) = \frac{1}{2}\mathbf{F} \cdot \frac{\mathbf{v}}{c} \left ( \kappa_{0P,i}-\kappa_{0R,i} \right ))]]
+
 
 === Time Discretization ===