321 | | Always kill the matrix coefficient to a physical boundary and add an additional [[latex(\psi \alpha_g E_g)]] to the source vector |
322 | | |
323 | | || Numerical value || Boundary || Needs Variables || [[latex(\alpha_g)]] || [[latex(\alpha_i)]] || [[latex(E_g)]] || [[latex(S)]] || |
324 | | || 0 || RAD_FREE_STREAMING || || [[latex(c \frac{\Delta t}{\Delta x})]] || || [[latex(0)]] || || |
325 | | || 1 || RAD_EXTRAPOLATE_FLUX || || [[latex(0)]] || [[latex(0)]] || X || || |
326 | | || 2 || RAD_PERIODIC || || || || || || |
327 | | || 3 || RAD_REFLECTING || || [[latex(0)]] || || X || || |
328 | | || 4 || RAD_USERDEFINED_BOUNDARY || !RadOpacity & !RadTemperature || || || [[latex( \frac{4 \pi}{c} B(T_g))]] || || |
329 | | || 5 || RAD_USERDEFINED_FLUX || !RadFlux || [[latex(0)]] || || X || [[latex(F_0 \frac{\Delta t}{\Delta x})]] || |
330 | | |
331 | | [[CollapsibleEnd()]] |
| 321 | || Numerical value || Boundary || Requires Variables || [[latex(E^{n+1}_{i+1})]] || [[latex(E^{n+1}_i)]] || [[latex(S)]] |
| 322 | || 0 || RAD_FREE_STREAMING || || [[latex(0)]] || [[latex(\psi c \frac{\Delta t}{\Delta x})]] || [[latex(-\bar{\psi}c \frac{\Delta t}{\Delta x} E^n_i)]] || |
| 323 | || 1 || RAD_EXTRAPOLATE_FLUX || || [[latex(0)]] || [[latex(0)]] || [[latex(0)]] || |
| 324 | || 2 || INTERNAL/PERIODIC || || [[latex(-\psi\alpha_{i+1/2})]] || [[latex(\psi\alpha_{i+1/2})]] || [[latex(\bar{\psi}\alpha_{i+1/2} \left ( E^n_{i+1}-E^n_i \right ))]] || |
| 325 | || 3 || RAD_REFLECTING || || [[latex(0)]] || [[latex(0)]] || [[latex(0)]] || |
| 326 | || 4 || RAD_USERDEFINED_BOUNDARY || !RadOpacity & !RadTemperature || [[latex(0)]] || [[latex(\psi\alpha_{i+1/2})]] || [[ latex(\bar{\psi}\alpha_{i+1/2} \left ( E^n_{i+1}-E^n_i \right ) - \psi \alpha_{i+1/2} E^{n+1}_{i+1} )]] || |
| 327 | || 5 || RAD_USERDEFINED_FLUX || !RadFlux || [[latex(0)]] || [[latex(0)]] || [[latex(F_0 \frac{\Delta t}{\Delta x})]] || |
| 328 | |
| 329 | |
| 330 | |
| 331 | [[CollapsibleEnd()]] |