Changes between Version 177 and Version 178 of FluxLimitedDiffusion


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Timestamp:
04/03/13 16:17:31 (12 years ago)
Author:
Jonathan
Comment:

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  • FluxLimitedDiffusion

    v177 v178  
    136136
    137137  [[latex(\lambda = \frac{1}{R} \left ( \coth R - \frac{1}{R} \right ) )]] 
     138  [[Image(save.png, width=400)]]
     139
     140and
     141
    138142  [[latex(R=\frac{|\nabla E_0|}{\kappa_{0R}E_0})]] 
    139143
     
    500504  [[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 ) - \frac{1}{1+\psi \phi} \left ( f \left ( e^n_i \right ) + g \left ( E,\nabla E \right ) \right ) )]] 
    501505
    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 \(e^{n+1}\)
     506Now 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 \(e^{n+1}\)
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