Changes between Version 199 and Version 200 of FluxLimitedDiffusion


Ignore:
Timestamp:
05/31/13 15:36:05 (11 years ago)
Author:
Baowei Liu
Comment:

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  • FluxLimitedDiffusion

    v199 v200  
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    550550which along with the other terms gives
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    551553[[latex($ \begin{aligned}E^{n+1}_i-E^{n}_i = & \left [ \alpha_{i+1/2} \left ( \psi E^{n+1}_{i+1} + \bar{\psi} E^{n}_{i+1}- \psi E^{n+1}_{i} - \bar{\psi} E^n_{i} \right ) - \alpha_{i-1/2} \left ( \psi  E^{n+1}_{i} + \bar{\psi} E^{n}_i - \psi E^{n+1}_{i-1} - \bar{\psi}E^{n}_{i-1} \right ) \right ] \\ - & \left [ \zeta_{i+1/2} v^n_{x,i+1/2} \left ( \psi E^{n+1}_{i+1} + \bar{\psi} E^{n}_{i+1} + \psi E^{n+1}_{i} + \bar{\psi} E^n_{i} \right ) - \zeta_{i-1/2} v^n_{x,i-1/2}\left ( \psi E^{n+1}_{i} + \bar{\psi} E^n_i + \psi E^{n+1}_{i-1} + \bar{\psi}E^{n}_{i-1} \right ) \right ] \\- & \frac{1}{1+\psi \phi_i}  \left [ - \theta_i  + \epsilon_i \left ( \psi E^{n+1}_i + \bar{\psi} E^n_i \right ) + \omega_{x,i} v^n_{x,i} \left ( \psi E^{n+1}_{i+1} + \bar{\psi} E^n_{i+1} - \psi E^{n+1}_{i-1} - \bar{\psi} E^n_{i-1} \right ) - \xi_i \left ( \psi E^{n+1}_i + \bar{\psi} E^{n}_i \right ) \right ] \\\end{aligned}$)]]
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