Changes between Version 46 and Version 47 of u/bliu/pnfldiff

Timestamp:

08/21/18 17:13:37 (6 years ago)

Author:

Baowei Liu

Comment:

—

u/bliu/pnfldiff

@@ -36 +36 @@
 || $I$ || intensity, power units per unit area, per unit solid angle and per unit frequency bandwidth ||
 || $n_{e}$ || electron number density ||
+|| $e$ || radiation energy ? ||
 || $n_{H}$ || Co-moving Hydrogen number density ||
 || $\lambda$ || limiter? ||
 || $\sigma$ || radiation constant ? / photoionization cross section ? ||
-|| $\alpha$ || ||
+|| $\alpha$ || ionization and recombination rates ||
 || $c$ || light speed ||
 || $\Lambda$ || ||
 
+== Solving the coupled system ==
+
+
+1. Evolve the hydrodynamics equations with a high-order, explicit-time upwind method. In this step, use the velocity field $v_{b}$ to advect both $n_{H}$ and radiation energy density $E$
+
+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 $e$. 
+
 ---- 
 
-= Old Tries =
+= Former Tries =
 
 == Equations ==