Changes between Version 127 and Version 128 of FluxLimitedDiffusion
- Timestamp:
- 03/30/13 23:16:18 (12 years ago)
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FluxLimitedDiffusion
v127 v128 412 412 Then if we take the semi-discretized equation for E 413 413 414 [[latex(\frac{\partial E}{\partial t} = \nabla \cdot \frac{c \lambda}{\kappa_{0R}} \nabla E -\nabla \cdot \left ( \frac{3-R_2}{2}\mathbf{v}E \right ) - f \left ( e^n_i \right ) - g \left (E, \nabla E \right ) - \left ( \left ( \bar{\psi} - 1 \right ) \phi \right ) e^n_i - \psi \phi e^{n+1}_i )]]414 [[latex(\frac{\partial E}{\partial t} = \nabla \cdot \frac{c \lambda}{\kappa_{0R}} \nabla E - \nabla \cdot \left ( \frac{3-R_2}{2} \mathbf{v} E \right ) - f \left ( e^n_i \right ) - g \left ( E, \nabla E \right ) - \left ( \left ( \bar{\psi} - 1 \right ) \phi \right ) e^n_i - \psi \phi e^{n+1}_i )]] 415 415 416 416 and then plugin the solution for e^n+1^,,i,, we get