Changes between Version 48 and Version 49 of u/bliu/pnfldiff


Ignore:
Timestamp:
09/04/18 16:19:43 (6 years ago)
Author:
Baowei Liu
Comment:

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  • u/bliu/pnfldiff

    v48 v49  
    3030$\frac{\partial n_{H}}{\partial t}=-\sigma n_{H}cI + \alpha n_{e}n_{H}$
    3131
    32 $\frac{\partial n_{e}}{\partial t}=\Lambda\sigma n_{H}c I$
    33 
    34  or $\frac{\partial e}{\partial t}$ instead?
     32$\frac{\partial e}{\partial t}=\Lambda\sigma n_{H}c I$
     33
    3534
    3635|| $I$ || intensity, power units per unit area, per unit solid angle and per unit frequency bandwidth ||
     
    4241|| $\alpha$ || ionization and recombination rates ||
    4342|| $c$ || light speed ||
    44 || $\Lambda$ ||  the cosmological constant ||
     43|| $\Lambda$ || ||
    4544
    4645== Solving the coupled system ==
     
    5049
    51502. Using a high-order implicit-time method, solve a coupled reaction-diffusion system to obtain the time-evolved number density $n_{H}$, radiation energy $E$ and gas energy $e$.
     51
     52== Discretize the equations ==
     53
     54
    5255
    5356----