Changes between Version 168 and Version 169 of FluxLimitedDiffusion


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Timestamp:
04/03/13 12:16:39 (12 years ago)
Author:
Jonathan
Comment:

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  • FluxLimitedDiffusion

    v168 v169  
    3939Now photons don't experience body forces, always travel at the speed of light,  and in general the "collision term" consists of photon emission and absorptions... so we have
    4040
    41  [[latex(\frac{\partial}{\partial t} f_\nu + c \mathbf{n} \cdot  \nabla f_\nu  = A_{\mbox{emiss},\nu} - \chi_\nu f_\nu c  )]]
    42 
    43 where [[latex(A_{emiss}_\nu)]] is the emission rate of photons of frequency [[latex(\nu)]] and the mean free path length is given by [[latex(\chi_\nu = \sigma_nu n)]] where [[latex(\sigma_nu)]] is the particle scattering cross section and [[latex(n)]] is the number density of particles.
     41 [[latex(\frac{\partial}{\partial t} f_\nu + c \mathbf{n} \cdot  \nabla f_\nu  = A_{\nu, \mbox{emiss}} - \chi_\nu f_\nu c  )]]
     42
     43where [[latex(A_{\nu,\mbox{emiss}} )]] is the emission rate of photons of frequency [[latex(\nu)]] and the mean free path length is given by [[latex(\chi_\nu = \sigma_nu n)]] where [[latex(\sigma_nu)]] is the particle scattering cross section and [[latex(n)]] is the number density of particles.
    4444
    4545Now if we multiply through by [[latex( h\nu)]]