Changes between Version 177 and Version 178 of FluxLimitedDiffusion
 Timestamp:
 04/03/13 16:17:31 (12 years ago)
Legend:
 Unmodified
 Added
 Removed
 Modified

FluxLimitedDiffusion
v177 v178 136 136 137 137 [[latex(\lambda = \frac{1}{R} \left ( \coth R  \frac{1}{R} \right ) )]] 138 [[Image(save.png, width=400)]] 139 140 and 141 138 142 [[latex(R=\frac{\nabla E_0}{\kappa_{0R}E_0})]] 139 143 … … 500 504 [[latex(\frac{\partial E}{\partial t} = \nabla \cdot \frac{c\lambda}{\kappa_{0R}} \nabla E \nabla \cdot \left ( \frac{3R_2}{2}\mathbf{v}E \right )  \frac{1}{1+\psi \phi} \left ( f \left ( e^n_i \right ) + g \left ( E,\nabla E \right ) \right ) )]] 501 505 502 Now we have 1 equation with 1 variable that we can solve implicitly using hypre, and then we can use \(E^{n+1}\) and \(E^ \) to construct \(E^*\) which we can plug into the equation for \(e^{n+1}\)506 Now we have 1 equation with 1 variable that we can solve implicitly using hypre, and then we can use \(E^{n+1}\) and \(E^n\) to construct \(E^*\) which we can plug into the equation for \(e^{n+1}\) 503 507 504 508