Changes between Version 182 and Version 183 of FluxLimitedDiffusion
- Timestamp:
- 04/03/13 17:13:37 (12 years ago)
Legend:
- Unmodified
- Added
- Removed
- Modified
-
FluxLimitedDiffusion
v182 v183 527 527 We can calculate the time scale for this to be true using the evolution equation for the energy density 528 528 529 [[latex(e-e_0=\Delta e = -\Delta t \ kappa_{0P} \left [ 4 \pi B_0 -cE \right ]< \xi \frac{T_0}{4 \Gamma})]]529 [[latex(e-e_0=\Delta e = -\Delta t \frac{\partial e}{\partial t} < \xi \frac{T_0}{4 \Gamma})]] 530 530 531 531 which gives [[latex(\Delta t < \xi \frac{T_0}{4 \Gamma \left | \frac{\partial e}{\partial t} \right | } = \xi \frac{T_0}{4 \Gamma \left | - \kappa_{0P} \left [ 4 \pi B_0 \left ( 1 + 4\Gamma \frac{e-e_0}{T_0} \right )-cE \right ] + \lambda \left ( 2 \frac{\kappa_{0P}}{\kappa_{0R}}-1 \right ) \mathbf{v} \cdot \nabla E -\frac{3-R_2}{2}\kappa_{0P}\frac{v^2}{c}E \right | } )]]
