Detail Files

The data written to a detail file are controlled by the detail_item_list parameter of the &ad_output namelist group (for adiabatic calculations) and the &nad_output namelist group (for nonadiabatic calculations). This parameter is a comma-separated list of items to appear in the summary file; the following subsections describe the items that may appear, grouped together by functional area. For each item, the corresponding math symbol is given (if there is one), together with the datatype, and a brief description. Units (where applicable) are indicated in brackets [].

Solution Data

Item	Symbol	Datatype	Description
n	\(N\)	integer	number of spatial grid points
omega	\(\omega\)	complex	dimensionless eigenfrequency
x	\(x\)	real(n)	independent variable; defined in Variables section
y_1	\(y_{1}\)	complex(n)	dependent variable; defined in Variables section
y_2	\(y_{2}\)	complex(n)	dependent variable; defined in Variables section
y_3	\(y_{3}\)	complex(n)	dependent variable; defined in Variables section
y_4	\(y_{4}\)	complex(n)	dependent variable; defined in Variables section
y_5	\(y_{5}\)	complex(n)	dependent variable; defined in Variables section
y_6	\(y_{6}\)	complex(n)	dependent variable; defined in Variables section

Observables

Item	Symbol	Datatype	Description
freq	—	complex	dimensioned frequency; units and reference frame controlled by freq_units and freq_frame parameters
freq_units	—	string	freq_units parameter
freq_frame	—	string	freq_frame parameter
f_T	\(f_{T}\)	real	Effective temperature perturbation amplitude; evaluated using eqn. 5 of Dupret et al. (2003)
f_g	\(f_{\rm g}\)	real	Effective gravity perturbation amplitude; evaluated using eqn. 6 of Dupret et al. (2003)
psi_T	\(\psi_{T}\)	real	Effective temperature perturbation phase; evaluated using eqn. 5 of Dupret et al. (2003)
f_g	\(\psi_{\rm g}\)	real	Effective gravity perturbation phase; evaluated using eqn. 6 of Dupret et al. (2003)

Classification & Validation

Item	Symbol	Datatype	Description
j	\(j\)	integer	unique mode index
l	\(\ell\)	integer	harmonic degree
l_i	\(\ell_{\rm i}\)	complex	effective harmonic degree at inner boundary
m	\(m\)	integer	azimuthal order
n_p	\(\np\)	integer	acoustic-wave winding number
n_g	\(\ng\)	integer	gravity-wave winding number
n_pg	\(\npg\)	integer	radial order within the Eckart-Scuflaire-Osaki-Takata scheme (see Takata, 2006b)
omega_int	\(\omega_{\rm int}\)	complex	dimensionless eigenfrequency; evaluated by integrating \(\sderiv{\zeta}{x}\)
dzeta_dx	\(\sderiv{\zeta}{x}\)	complex(n)	dimensionless frequency weight function; controlled by zeta_scheme parameter
Yt_1	\(\mathcal{Y}_{1}\)	complex(n)	primary eigenfunction for Takata classification; evaluated using a rescaled eqn. 69 of Takata (2006b)
Yt_2	\(\mathcal{Y}_{2}\)	complex(n)	secondary eigenfunction for Takata classification; evaluated using a rescaled eqn. 70 of Takata (2006b)
I_0	\(I_{0}\)	complex(n)	first integral for radial modes; evaluated using eqn. 42 of Takata (2006a)
I_1	\(I_{1}\)	complex(n)	first integral for dipole modes; evaluated using eqn. 43 of Takata (2006a)
prop_type	\(\varpi\)	integer(n)	propagation type; \(\varpi = 1\) in acoustic-wave regions, \(\varpi=-1\) in gravity-wave regions, and \(\varpi=0\) in evanescent regions

Perturbations

Item	Symbol	Datatype	Description
x_ref	\(x_{\rm ref}\)	real	fractional radius of reference location
xi_r_ref	\(\txi_{r,{\rm ref}}\)	complex	radial displacement perturbation at reference location [\(R\)]
xi_h_ref	\(\txi_{\rm h,ref}\)	complex	radial displacement perturbation at reference location [\(R\)]
eul_phi_ref	\(\tPhi'_{\rm ref}\)	complex	Eulerian potential perturbation at reference location [\(GM/R\)]
deul_phi_ref	\((\sderiv{\tPhi'}{x})_{\rm ref}\)	complex	Eulerian potential gradient perturbation at reference location [\(GM/R^{2}\)]
lag_S_ref	\(\delta\tS_{\rm ref}\)	complex	Lagrangian specific entropy perturbation at reference location [\(R\)]
lag_L_ref	\(\delta\tL_{\rm R,ref}\)	complex	Lagrangian radiative luminosity perturbation at reference location [\(L\)]
xi_r	\(\txir\)	complex	radial displacement perturbation [\(R\)]
xi_h	\(\txih\)	complex	radial displacement perturbation [\(R\)]
eul_phi	\(\tPhi'\)	complex	Eulerian potential perturbation [\(GM/R\)]
deul_phi	\(\sderiv{\tPhi'}{x}\)	complex	Eulerian potential gradient perturbation [\(GM/R^{2}\)]
lag_S	\(\delta\tS\)	complex	Lagrangian specific entropy perturbation [\(\cP\)]
lag_S_ref	\(\delta\tLrad\)	complex	Lagrangian radiative luminosity perturbation [\(L\)]
eul_P	\(\tP'\)	complex	Eulerian total pressure perturbation [\(P\)]
eul_rho	\(\trho'\)	complex	Eulerian density perturbation [\(\rho\)]
eul_T	\(\tT'\)	complex	Eulerian temperature perturbation [\(T\)]
lag_P	\(\delta\tP\)	complex	Lagrangian total pressure perturbation [\(P\)]
eul_rho	\(\delta\trho\)	complex	Lagrangian density perturbation [\(\rho\)]
lag_T	\(\delta\tT\)	complex	Lagrangian temperature perturbation [\(T\)]

Energetics & Transport

Item	Symbol	Datatype	Description
eta	\(\eta\)	real	normalized growth rate \(\eta\); evaluated using expression in text of page 1186 of Stellingwerf (1978)
E	\(E\)	real	mode inertia [\(M R^{2}\)]; evaluated by integrating \(\sderiv{E}{x}\)
E_p	\(E_{\rm p}\)	real	acoustic mode inertia [\(M R^{2}\)]; evaluated by integrating \(\sderiv{E}{x}\) where \(\varpi=1\)
E_g	\(E_{\rm g}\)	real	gravity mode inertia [\(M R^{2}\)]; evaluated by integrating \(\sderiv{E}{x}\) in regions where \(\varpi=-1\)
E_norm	\(E_{\rm norm}\)	real	normalized inertia; evaluation controlled by inertia_norm parameter
E_ratio		real	ratio of mode inertias inertia inside/outside reference location
H	\(H\)	real	mode energy [\(G M^{2}/R\)]
W	\(W\)	real	mode work [\(G M^{2}/R\)]; evaluated by integrating \(\sderiv{W}{x}\)
W_eps	\(W_{\epsilon}\)	real	mode work [\(G M^{2}/R\)]; evaluated by integrating \(\sderiv{W_{\epsilon}}{x}\)
tau_ss	\(\tau_{\rm ss}\)	real	steady-state torque [\(G M^{2}/R\)]; evaluated by integrating \(\sderiv{\tau_{\rm ss}}{x}\)
tau_tr	\(\tau_{\rm tr}\)	real	steady-state torque [\(G M^{2}/R\)]; evaluated by integrating \(\sderiv{\tau_{\rm tr}}{x}\)
dE_dx	\(\sderiv{E}{x}\)	real(n)	differential inertia [\(M R^{2}\)]
dW_dx1	\(\sderiv{W}{x}\)	real(n)	differential work [\(GM^{2}/R\)]; evaluated using eqn. 25.9 of Unno et al. (1989)
dW_eps_dx1	\(\sderiv{W_{\epsilon}}{x}\)	real(n)	differential nuclear work [\(GM^{2}/R\)]; evaluated using eqn. 25.9 of Unno et al. (1989)
dtau_ss_dx	\(\sderiv{\tau_{\rm ss}}{x}\)	real(n)	steady-state differential torque [G M^{2}/R]
dtau_tr_dx	\(\sderiv{\tau_{\rm tr}}{x}\)	real(n)	transient differential torque [G M^{2}/R]
alpha_0	\(\alpha_{0}\)	real(n)	excitation coefficient; evaluated using eqn. 26.10 of Unno et al. (1989)
alpha_1	\(\alpha_{1}\)	real(n)	excitation coefficient; evaluated using eqn. 26.12 of Unno et al. (1989)

Rotation

Item	Symbol	Datatype	Description
domega_rot	\(\delta \omega\)	real	dimensionless first-order rotational splitting; evaluated using eqn. 3.355 of Aerts et al. (2010)
dfreq_rot	—	real	dimensioned first-order rotational splitting; units and reference frame controlled by freq_units and freq_frame parameters
beta	\(\beta\)	real	rotation splitting coefficient; evaluated by integrating \(\sderiv{\beta}{x}\)
dbeta_dx	\(\sderiv{\beta}{x}\)	complex(n)	unnormalized rotation splitting kernel; evaluated using eqn. 3.357 of Aerts et al. (2010)
lambda	\(\lambda\)	complex(n)	tidal equation eigenvalue

Stellar Structure

Item	Symbol	Datatype	Description
M_star2	\(M\)	real	stellar mass [\(\gram\)]
R_star2	\(R\)	real	stellar radius [\(\cm\)]
L_star2	\(L\)	real	stellar luminosity [\(\erg\,\second^{-1}\)]
Delta_p	\(\Delta \nu\)	real	asymptotic p-mode large frequency separation [\(\sqrt{GM/R^{3}}\)]
Delta_g	\((\Delta P)^{-1}\)	real	asymptotic g-mode inverse period separation [\(\sqrt{GM/R^{3}}\)]
V_2	\(V_2\)	real(n)	structure coefficient; defined in Structure Coefficients section
As	\(A^{*}\)	real(n)	structure coefficient; defined in Structure Coefficients section
U	\(U\)	real(n)	structure coefficient; defined in Structure Coefficients section
c_1	\(c_{1}\)	real(n)	structure coefficient; defined in Structure Coefficients section
Gamma_1	\(\Gammi\)	real(n)	adiabatic exponent; defined in Linearized Equations section
nabla1	\(\nabla\)	real(n)	temperature gradient; defined in Structure Coefficients section Dimensionless Formulation section
nabla_ad1	\(\nabad\)	real(n)	adiabatic temperature gradient; defined in Linearized Equations section
dnabla_ad1	\(\dnabad\)	real(n)	derivative of adiabatic temperature gradient
upsilon_T1	\(\upsT\)	real(n)	thermodynamic coefficient; defined in Linearized Equations section
c_lum1	\(\clum\)	real(n)	structure coefficient; defined in Structure Coefficients section
c_rad1	\(\crad\)	real(n)	structure coefficient; defined in Structure Coefficients section
c_thn1	\(\cthn\)	real(n)	structure coefficient; defined in Structure Coefficients section
c_thk1	\(\cthk\)	real(n)	structure coefficient; defined in Structure Coefficients section
c_eps1	\(\ceps\)	real(n)	structure coefficient; defined in Structure Coefficients section
kap_rho1	\(\kaprho\)	real(n)	opacity partial; defined in Linearized Equations section
kap_T1	\(\kapT\)	real(n)	opacity partial; defined in Linearized Equations section
eps_rho1	\(\epsrho\)	real(n)	nuclear energy generation partial; defined in Linearized Equations section
eps_T1	\(\epsT\)	real(n)	nuclear energy generation partial; defined in Linearized Equations section
Omega_rot	\(\Omega\)	real(n)	rotation angular frequency [\(\sqrt{GM/R^{3}}\)]
M_r2	\(M_r\)	real(n)	interior mass [\(\gram\)]
P2	\(P\)	real(n)	total pressure [\(\barye\)]
rho2	\(\rho\)	real(n)	density [\(\gram\,\cm^{-3}\)]
T2	\(T\)	real(n)	temperature [\(\kelvin\)]

Footnotes

1(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15)

This option is available only for stellar models with N capability

2(1,2,3,4,5,6,7)

This option is available only for stellar models with D capability