Changes between Version 18 and Version 19 of u/erica/RadHydro
- Timestamp:
- 03/30/16 11:37:05 (9 years ago)
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u/erica/RadHydro
v18 v19 71 71 [[Image(DiffusionWave_IC.png, 35%)]] 72 72 73 For a zone right next to the source, 73 74 Recall, 74 75 75 76 [[latex($\frac{\partial E}{\partial t} = \nabla \cdot (\frac{c \lambda}{\kappa_R \rho} \nabla E) + \kappa_P \rho (4 \pi B - c E)$)]] 76 77 77 it will acquire some E due to the sink (through the diffusion term), plus through BB radiation (through the coupling term). Here is the grid after the radiative time step:78 Thus, a zone adjacent to the source will acquire some E due to the sink (through the diffusion term), plus from BB radiation of the ambient medium (through the coupling term). The relative contributions depend on the strengths of the various opacities, as well as the gradient in E. Here is the grid after the radiative time step: 78 79 79 80 [[Image(trad.png, 35%)]] 81 82 The change in E is dominated by the diffusion term closer-in to the sink (strong gradient there), and further away it is dominated by BB radiation. 80 83 81 84 Now, depending on position, the internal energy will either decrease or increase. Recall, … … 83 86 [[latex($\frac{\partial(\rho e)}{\partial t} = -\kappa_R (4 \pi B - cE)$)]] 84 87 85 So in closein to the source, E>B, but further away (where diffusion was weaker), B>E. Thus, after a hydro timestep we have:88 So, close-in to the source, E>B, but further away (where diffusion was weaker), B>E. Thus, after a hydro timestep we have: 86 89 87 90 [[Image(thydro.png, 35%)]]