Changes between Version 84 and Version 85 of FluxLimitedDiffusion

Timestamp:

03/27/13 22:39:06 (12 years ago)

Author:

Jonathan

Comment:

—

FluxLimitedDiffusion

@@ -446 +446 @@
 Which we can discretize for (1D) as
 
-   [[latex(E^{n+1}_i-E^{n}_i = \left [ \alpha^n_{i+1/2} \left ( E^{*}_{i+1}-E^{*}_{i} \right ) - \alpha^n_{i-1/2} \left ( E^{*}_{i}-E^{*}_{i-1} \right ) \right ] - \epsilon^n_i E^{*}_i  + \phi^n_i e^{*}_i  + \theta^n_i) - omega_{x,i} v_{x,i} \left ( E^{*}_{i+1}-E^*_{i-1} \right ) )]]   
-   [[latex(e^{n+1}_i-e^{n}_i = \epsilon^n_i E^{*}_i  - \phi^n_i e^{*}_i  - \theta^n_i + omega_{x,i} v_{x,i} \left ( E^{*}_{i+1}-E^*_{i-1} \right ) )]]   
+   [[latex(E^{n+1}_i-E^{n}_i = \left [ \alpha^n_{i+1/2} \left ( E^{*}_{i+1}-E^{*}_{i} \right ) - \alpha^n_{i-1/2} \left ( E^{*}_{i}-E^{*}_{i-1} \right ) \right ] - \epsilon^n_i E^{*}_i  + \phi^n_i e^{*}_i  + \theta^n_i) - \omega_{x,i} v_{x,i} \left ( E^{*}_{i+1}-E^*_{i-1} \right ) )]]   
+   [[latex(e^{n+1}_i-e^{n}_i = \epsilon^n_i E^{*}_i  - \phi^n_i e^{*}_i  - \theta^n_i + \omega_{x,i} v_{x,i} \left ( E^{*}_{i+1}-E^*_{i-1} \right ) )]]   
 
 where the diffusion coefficient is given by