Equation of state SAHA-S meets stellar evolution code CESAM2k

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Table 1

Interface of CESAM2k and an EOS.

Input:
Pressure P
Temperature T
Hydrogen mass fraction X
Heavy-element mass fraction Z
Logical parameter deriv for derivatives^*

Output:
Variable	Computation in SAHA-S module

ρ	Inverse interpolation P(T,Q_s,X)
∂ρ/∂P \| _T,X	Eq. (44)
∂ρ/∂T \| _P,X	Eq. (45)
∂ρ/∂X \| _P,T	Eq. (46)
U	Originally available SAHA-S data
∂U/∂P \| _T,X	Eq. (48)
∂U/∂T \| _P,X	Eq. (47)
∂U/∂X \| _P,T	Auxiliary SAHA-S data
δ	Auxiliary SAHA-S data
∂δ/∂P \| _T,X ^*	Spline derivatives, Eq. (52)
∂δ/∂T \| _P,X ^*	Spline derivatives, Eq. (51)
∂δ/∂X \| _P,T ^*	Spline derivative, Eq. (50)
c _P	Auxiliary SAHA-S data
∂c_P/∂P \| _T,X ^*	Spline derivatives, Eq. (52)
∂c_P/∂T \| _P,X ^*	Spline derivatives, Eq. (51)
∂c_P/∂X \| _P,T ^*	Spline derivative, Eq. (50)
∇_ad	Auxiliary SAHA-S data
∂∇_ad/∂P \| _T,X ^*	Spline derivatives, Eq. (52)
∂∇_ad/∂T \| _P,X ^*	Spline derivatives, Eq. (51)
∂∇_ad/∂X \| _P,T ^*	Spline derivative, Eq. (50)
α	Eq. (31)
β	Eq. (32)
Γ₁	Auxiliary SAHA-S data

Notes. Derivatives marked by asterisk are computed only if deriv=.TRUE.

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