Changes between Version 16 and Version 17 of u/erica/RadHydro


Ignore:
Timestamp:
03/30/16 11:19:26 (9 years ago)
Author:
Erica Kaminski
Comment:

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  • u/erica/RadHydro

    v16 v17  
    7979[[Image(trad.png, 35%)]]
    8080
     81Now, depending on position, the internal energy will either decrease or increase. Recall,
     82
     83[[latex($\frac{\partial(\rho e)}{\partial t} = -\kappa_R (4 \pi B - cE)$)]]
     84
     85So in close in to the source, E>B, but further away (where diffusion was weaker), B>E. Thus, after a hydro timestep we have:
     86
     87[[Image(thydro.png, 35%)]]
     88
     89This means, depending on the relative strengths of coupling and diffusion, there will be some regions of radiative heating and some of cooling. For this picture here (which is very rough -- a diffusion wave, and coupling 'wave' may have different concavity than shown here):
     90
     91[[Image(heatingregions.png, 35%)]]
     92
    8193
    8294Over time the energy (which is continuously being injected into the center few zones), diffuses into the uniform medium: