Heat flux term

[Graeme Candlish]

Hello all,

I've been looking into including a heat flux term in the Euler equations, along the lines of the usual heat flux that appears in the energy equation in the Navier-Stokes equations (but no viscous stresses).

Is something like this already included in some part of RAMSES? My understanding is that including this in the Godunov solver is very challenging - the Riemann problem becomes much harder to solve I think. So I've been looking into adding this term as another source term, in a similar manner to what is done already in the routine "set_uold" (godunov_fine.f90) with "add_pdv_source_terms". I suspect, however, that ensuring numerical stability in the solver will be difficult, and my preliminary tests support this.

Any help would be much appreciated, thanks!

Cheers,

Graeme

[yohan dubois]

Dear Graeme,

With Benoît Commerçon, we have developed an implicit solver for (anisotropic) thermal conduction in Ramses, which is indeed treated as a source term. See this paper for more information:
https://ui.adsabs.harvard.edu/abs/2016A%26A...585A.138D/abstract

We can discuss the details by direct emails.

Cheers

Yohan