Changes between Version 56 and Version 57 of FluxLimitedDiffusion

Timestamp:

03/24/13 14:30:15 (12 years ago)

Author:

Jonathan

Comment:

—

FluxLimitedDiffusion

@@ -119 +119 @@
 These can be discretized as follows:
 
- [[latex(p^n+1_i=p^n_i - \frac{1}{2}\frac{\Delta t}{\Delta x} \lambda_{i} \left ( E^n_{i+1}-E^n_{i-1} \right ) )]]
-
- [[latex(e^n+1_i=e^n_i + \frac{1}{2}\frac{\Delta t}{\Delta x} \lambda_i \left ( 2 \frac{\kappa^n_i_{0P}}{\kappa^n_i_{0R}}-1 \right ) \left [ v_x^n_i \left ( E^n_{i+1}-E^n_{i-1} \right ) \right ] )]]  
-
- [[latex(E^n+1_i=E^n_i - \frac{\Delta t}{\Delta x} \left [ \frac{\lambda_i}{2} \left ( 2 \frac{\kappa^n_i_{0P}}{\kappa^n_i_{0R}}-1 \right ) \left [ v_x^n_i \left ( E^n_{i+1}-E^n_{i-1} \right ) \right ] + \left ( F_{i+1/2}-F_{i-1/2} \right ) \right ])]]  
+ [[latex(p^{n+1}_i=p^n_i - \frac{1}{2}\frac{\Delta t}{\Delta x} \lambda_{i} \left ( E^n_{i+1}-E^n_{i-1} \right ) )]]
+
+ [[latex(e^{n+1}_i=e^n_i + \frac{1}{2}\frac{\Delta t}{\Delta x} \lambda_i \left ( 2 \frac{\kappa^n_i_{0P}}{\kappa^n_i_{0R}}-1 \right ) \left [ v^n_i \left ( E^n_{i+1}-E^n_{i-1} \right ) \right ] )]]  
+
+ [[latex(E^{n+1}_i=E^n_i - \frac{\Delta t}{\Delta x} \left [ \frac{\lambda_i}{2} \left ( 2 \frac{\kappa^n_i_{0P}}{\kappa^n_i_{0R}}-1 \right ) \left [ v^n_i \left ( E^n_{i+1}-E^n_{i-1} \right ) \right ] + \left ( F_{i+1/2}-F_{i-1/2} \right ) \right ])]]  
 
 [[CollapsibleEnd()]]