Changes between Version 48 and Version 49 of u/bliu/pnfldiff
- Timestamp:
- 09/04/18 16:19:43 (6 years ago)
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u/bliu/pnfldiff
v48 v49 30 30 $\frac{\partial n_{H}}{\partial t}=-\sigma n_{H}cI + \alpha n_{e}n_{H}$ 31 31 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 35 34 36 35 || $I$ || intensity, power units per unit area, per unit solid angle and per unit frequency bandwidth || … … 42 41 || $\alpha$ || ionization and recombination rates || 43 42 || $c$ || light speed || 44 || $\Lambda$ || the cosmological constant||43 || $\Lambda$ || || 45 44 46 45 == Solving the coupled system == … … 50 49 51 50 2. 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 52 55 53 56 ----