Table 3
Equations being solved when converting from pressure to internal energy (p → ρe) or vice versa (ρe → p).
| Conversion | Physical conditions | Temperature | Final equation |
|
|
|||
| (ρ,X,p) → ρe | [Non-equilibrium] |
|
ρe = ρe(T,X) |
| (ρ,X,ρe) → p | [Non-equilibrium] | ρe(T,X) − ρe = 0∗ |
|
| (ρ,p) → ρe | [LTE or CIE] |
|
ρe = ρe(T,ρ) |
| (ρ,ρe) → p | [LTE or CIE] | ρe(T,ρ) − ρe = 0∗ |
|
Notes. Equations marked with a * are non-linear and may require a root-finder approach.Under non-equilibrium conditions the chemical fractions X are independent variables available immediately after the hydro update. Under LTE or CIE, X = X(T,ρ) and this introduces additional non-linearities in some equations.
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