AMReX-Astro / AMReX-Astro/Castro
allow for a 2 temperature formulation for hydro
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- Dominant language
- C++
- Stars
- 340
- Forks
- 105
- Avg merge
- 3d 8h
- Merged PRs (30d)
- 8
Description
The WarpX folks want to have a separate temperature for electrons and ions (heavies), and a source term that represents the equilibriation via collisions. It seems like we can do this by tapping into the aux passives.
We will define the total energy always as:
$$\rho E = \rho e_e + \rho e_h + \frac{1}{2} |U|^2$$
and that is the conserved energy the is needed to get shocks correct. We still still have the Castro internal energy / dual energy formulation that will keep track of
$$\rho e = \rho e_e + \rho e_h$$
but now we will have an aux state of $\rho e_h$. This will satisfy via Castro
$$\frac{\partial (\rho e_h)}{\partial t} + \nabla \cdot (\rho U e_h) = S$$
where the $$S$$ part will rely on PR #2678 . I think there is additional work needed there to use the source in the interface state prediction.
But the energy should follow:
$$\frac{\partial (\rho e_h)}{\partial t} + \nabla \cdot (\rho U e_h) + p_h \nabla \cdot U = S$$
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First steps
- Read the whole issue, then the project's contributing guide.
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Research direction
No files or tests are named; start by reading the two-temperature formulation and the referenced PR #2678, then locate Castro's aux-passive and interface-state prediction entry points. Done means separately evolving electron and heavy-particle temperatures, retaining the conserved total energy, and applying the collision-equilibration source consistently.
Written by the indexing model from the issue text.
Assessment
- Tech stack
- cpp
- Domain
- backend
- Issue type
- Feature
- Difficulty
- 5/5
- Estimated time
- Over a week
- Activity status
- Stale
- Clarity
- Needs clarification
- Newbie friendliness
- 25/100