wiki:u/bliu/AblativeRT/Equations

Version 5 (modified by Baowei Liu, 10 years ago) ( diff )

The current version of the code has changed the temperature from computational units to Kelvin or solves the energy equation instead of temperature. This note is to check the parameter and equations changes need to do to be consistent comparing the old ways of blog:bliu01092014 and blog:bliu01142014 . So the term won't show in the thermal diffusion equations.

  1. Equations

where T is in cgs unit or Kelvin.

In current version of AstroBEAR, we have

And same as blog:bliu01092014, we define

And so same as blog:bliu01092014, we have

In Betti's data, and so

  1. Scales for converting from cgs to cu ScaleFlux is the scale which converts the heat flux from cgs units to computational units in AstroBEAR. Since

The new scaleFlux is or as the temperature is in Kelvin now. While in the older version where the temperature is in c.u. scale, So scaleFlux is instead…

scaleDiff is the scale that converts the kappa1 from cgs units to computational units. Since So

  1. subroutine getdEdT in EOS.f90

This subroutine will return the value of dE/dT which has a unit as C.U. Energy/Kelvin

  1. source and stencil_fix(0) in diffusion.f90 will be modified as
    source = ((ndiff-1.0)/(ndiff+1.0))*dot_product(T(0:2*nDim),stencil_fixed(0:2*nDim)) - T(0)*GetdEdT(Info%q(i,j,k,:))
    stencil_fixed(0) = stencil_fixed(0) - GetdEdT(Info%q(i,j,k,:)) 

comparing with the old way

!    source = ((ndiff-1.0)/(ndiff+1.0))*dot_product(T(0:2*nDim),stencil_fixed(0:2*nDim)) - T(0)*gamma7*Info%q(i,j,k,1)
!    stencil_fixed(0) = stencil_fixed(0) - gamma7*Info%q(i,j,k,1)

So the lefthand side vector has unit of Kelvin and righthand side vector has unit of C.U.energy

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