Changes between Version 196 and Version 197 of FluxLimitedDiffusion

Timestamp:

05/30/13 17:37:47 (11 years ago)

Author:

Baowei Liu

Comment:

—

FluxLimitedDiffusion

@@ -65 +65 @@
 and
 
- [[latex($s(\tau_\nu) = \int\limits_0^\tau_\nu \frac{1}{\chi_\nu} d\tau'_\nu$)]] 
+ [[latex($s(\tau_\nu) = \int\limits_{0}^{\tau_\nu} \frac{1}{\chi_\nu} d\tau'_\nu $)]] 
 
 we can write the transport equation in the simplest form
@@ -160 +160 @@
 If we plug the expressions for the radiation 4-momentum back into the gas equations and keep terms necessary to maintain accuracy we get:
 
-  [[latex($\frac{\partial }{\partial t} \left(\rho\mathbf{v}\right)+\nabla\cdot\left(\rho\mathbf{vv}\right)=\nabla P\color{green}{-\lambda \nabla E}$)]]
+  [[latex($\frac{\partial }{\partial t} \left(\rho\mathbf{v}\right)+\nabla\cdot\left(\rho\mathbf{vv}\right)=\nabla  P\color{green}{-\lambda \nabla E}$)]]
    
   [[latex($\frac{\partial e}{\partial t}  + \nabla \cdot \left [ \left ( e + P \right ) \mathbf{v} \right ] =\color{red{\kappa_{0P}(4 \pi B-cE)} \color{green}{+\lambda \left ( 2 \frac{\kappa_{0P}}{\kappa_{0R}}-1 \right)\mathbf{v}\cdot \nabla E} \color{blue}{-\frac{3-R_2}{2}\kappa_{0P}\frac{v^2}{c}E}$)]]