Changes between Version 80 and Version 81 of FluxLimitedDiffusion


Ignore:
Timestamp:
03/27/13 21:54:59 (12 years ago)
Author:
Jonathan
Comment:

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  • FluxLimitedDiffusion

    v80 v81  
    130130  [[latex(\frac{\partial E}{\partial t}  \color{red}{ - \nabla \cdot \frac{c\lambda}{\kappa_{0R}} \nabla E} = \color{red}{\kappa_{0P} (4 \pi B-cE)} \color{orange}{-\lambda \left(2\frac{\kappa_{0P}}{\kappa_{0R}}-1 \right )\mathbf{v}\cdot \nabla E} \color{green}{-\nabla \cdot \left ( \frac{3-R_2}{2}\mathbf{v}E \right )} \color{blue}{+\frac{3-R_2}{2}\kappa_{0P}\frac{v^2}{c}E}  )]] 
    131131
     132For static diffusion, the terms in blue with v^2^/c can be dropped and the system can be split into the usual hydro update (black), radiative source terms (green), and a coupled implicit solve (red) for the radiation energy density and thermal energy density (ie temperature). And the terms in orange can be solved semi-implicitly (velocity terms are explicit, while radiation energy terms are implicit)
     133
    132134
    133135[[CollapsibleEnd()]]