Summary Files

Summary files collect together global properties, such as eigenfrequencies and radial orders, of all solutions (modes, tidal responses, etc.) found during a run. The specific data written to a summary file are controlled by the summary_item_list options of the &ad_output and &nad_output namelist groups (gyre adiabatic and non-adiabatic calculations, respectively) and the &tide_output namelist group (gyre_tides calculations). These options specify the data to be written via a comma-separated list of fields.

The following subsections describe the fields that may appear in summary_item_list, grouped together by functional area.

Solution Data

n_row (type: integer)

Number of rows \(N_{\rm row}\) in summary file, each corresponding to a mode found (gyre) or a tidal response evaluated (gyre_tides)

n (type: integer, dimension: n_row)

Number of spatial grid points \(N\)

omega (type: complex, dimension: n_row)

Dimensionless angular frequency \(\omega\)

x_ref (type: real, dimension: n_row)

Dimensionless radial coordinate \(\xref\) of reference location

chi (type: real, dimension: n_row)

Root-finding convergence parameter \(\chi\)

n_iter (type: integer, dimension: n_row)

Root-finding number of iterations

Observables

freq (type: complex, dimension: n_row, units: controlled by freq_units and freq_frame options)

Dimensioned frequency

freq_units (type: string)

Value of freq_units option

freq_frame (type: string)

Value of freq_frame option

f_T (type: real, dimension: n_row)

Effective temperature perturbation amplitude \(f_{T}\); evaluated at reference location using eqn. (5) of Dupret et al. (2003)

f_g (type: real, dimension: n_row)

Effective gravity perturbation amplitude \(f_{g}\); evaluated at reference location using eqn. (6) of Dupret et al. (2003)

psi_T (type: real, dimension: n_row)

Effective temperature perturbation phase \(\psi_{T}\); evaluated at reference location using eqn. (5) of Dupret et al. (2003)

psi_g (type: real, dimension: n_row)

Effective gravity perturbation phase \(\psi_{g}\); evaluated at reference location using eqn. (6) of Dupret et al. (2003)

Classification & Validation

id (type: integer, dimension: n_row)

Unique mode index

l (type: integer, dimension: n_row)

Harmonic degree \(\ell\)

l_i (type: complex, dimension: n_row)

Effective harmonic degree at inner boundary \(\ell_{\rm i}\)

m (type: integer, dimension: n_row)

Azimuthal order \(m\)

n_p (type: integer, dimension: n_row)

Acoustic-wave winding number \(\nump\)

n_g (type: integer, dimension: n_row)

Gravity-wave winding number \(\numg\)

n_pg (type: integer, dimension: n_row)

Radial order \(\numpg\) within the Eckart-Scuflaire-Osaki-Takata scheme (see Takata, 2006b)

omega_int (type: complex, dimension: n_row)

Dimensionless eigenfrequency \(\omega_{\rm int}\) based on integral expression; evaluated using eqn. (A8) of Townsend et al. (2025)

zeta (type: complex, dimension: n_row)

Integrated frequency weight \(\zeta \equiv \int \sderiv{\zeta}{x} \, \diff{x}\)

Perturbations

xi_r_ref (type: complex, dimension: n_row, units: \(\Rstar\))

Radial displacement perturbation \(\txi_{r,{\rm ref}}\) at reference location

xi_h_ref (type: complex, dimension: n_row, units: \(\Rstar\))

Horizontal displacement perturbation \(\txi_{\rm h,ref}\) at reference location

eul_Phi_ref (type: complex, dimension: n_row, units: \(G\Mstar/\Rstar\))

Eulerian potential perturbation \(\tPhi'_{\rm ref}\) at reference location

deul_Phi_ref (type: complex, dimension: n_row, units: \(G\Mstar/\Rstar^{2}\))

Eulerian potential gradient perturbation \((\sderiv{\tPhi'}{r})_{\rm ref}\) at reference location

lag_S_ref (type: complex, dimension: n_row, units: \(\cP\))

Lagrangian specific entropy perturbation \(\delta\tS_{\rm ref}\) at reference location

lag_L_ref (type: complex, dimension: n_row, units: \(\Lstar\))

Lagrangian radiative luminosity perturbation \(\delta\tL_{\rm R,ref}\) at reference location

Energetics & Transport

eta (type: real, dimension: n_row)

Normalized growth rate \(\eta\); evaluated using expression in text of page 1186 of Stellingwerf (1978)[1]

E (type: real, dimension: n_row, units: \(\Mstar\Rstar^{2}\))

Mode inertia \(E \equiv \int \sderiv{E}{x} \, \diff{x}\)

E_p (type: real, dimension: n_row, units: \(\Mstar\Rstar^{2}\))

Acoustic mode inertia \(E_{\rm p}\); evaluated by integrating \(\sderiv{E}{x}\) with respect to \(x\) across regions where \(\varpi=1\)

E_g (type: real, dimension: n_row, units: \(\Mstar\Rstar^{2}\))

Gravity mode inertia \(E_{\rm g}\); evaluated by integrating \(\sderiv{E}{x}\) with respect to \(x\) across regions where \(\varpi=-1\)

E_norm (type: real, dimension: n_row)

Normalized inertia \(E_{\rm norm}\); evaluation controlled by inertia_norm option

E_ratio (type: real, dimension: n_row)

Ratio of mode inertia outside reference location, to total inertia

H (type: real, dimension: n_row, units: \(G\Mstar^{2}/\Rstar\))

Mode energy \(H \equiv \frac{1}{2} \omega^{2} E\)

W (type: real, dimension: n_row, units: \(G\Mstar^{2}/\Rstar\))

Mode work \(W \equiv \int \sderiv{W}{x} \, \diff{x}\)[1]

W_eps (type: real, dimension: n_row, units: \(G\Mstar^{2}/\Rstar\))

Mode nuclear work \(W_{\epsilon} \equiv \int \sderiv{W_{\epsilon}}{x} \, \diff{x}\)[1]

tau_ss (type: real, dimension: n_row, units: \(G\Mstar^{2}/\Rstar\))

Steady-state torque \(\tau_{\rm ss} \equiv \int \sderiv{\tau_{\rm ss}}{x} \, \diff{x}\)[1]

tau_tr (type: real, dimension: n_row, units: \(G\Mstar^{2}/\Rstar\))

Rotation

Omega_rot_ref (type: real, dimension: n_row, units: \(\sqrt{G\Mstar/\Rstar^{3}}\))

Rotation angular frequency \(\Omega_{\rm rot,ref}\) at reference location

domega_rot (type: real, dimension: n_row)

Dimensionless first-order rotational splitting \(\Delta \omega\); evaluated using eqn. (3.355) of Aerts et al. (2010)

dfreq_rot (type: real, dimension: n_row, units: controlled by freq_units and freq_frame options)

Dimensioned first-order rotational splitting

beta (type: real, dimension: n_row)

Rotation splitting coefficient \(\beta \equiv \int \sderiv{\beta}{x} \, \diff{x}\)

Stellar Structure

M_star (type: real, dimension: n_row, units: \(\gram\))

Stellar mass \(\Mstar\)[2]

R_star (type: real, dimension: n_row, units: \(\cm\))

Stellar radius \(\Rstar\)[2]

L_star (type: real, dimension: n_row, units: \(\erg\,\second^{-1}\))

Stellar luminosity \(\Lstar\)[2]

Delta_p (type: real, dimension: n_row, units: \(\sqrt{G\Mstar/\Rstar^{3}}\))

Asymptotic p-mode large frequency separation \(\Delta \nu\)

Delta_g (type: real, dimension: n_row, units: \(\sqrt{G\Mstar/\Rstar^{3}}\))

Asymptotic g-mode inverse period separation \((\Delta P)^{-1}\)

Tidal Response

Note that these fields are available only when using gyre_tides.

k (type: integer, dimension: n_row)

Fourier harmonic \(k\)

eul_Psi_ref (type: complex, dimension: n_row, units: \(G\Mstar/\Rstar\))

Eulerian total potential perturbation \(\tPsi'_{\rm ref}\) at reference location

deul_Psi_ref (type: complex, dimension: n_row, units: \(G\Mstar/\Rstar^{2}\))

Eulerian total potential gradient perturbation \((\sderiv{\tPsi'}{r})_{\rm ref}\) at reference location

Phi_T_ref (type: real, dimension: n_row, units: \(G\Mstar/\Rstar\))

Tidal potential \(\tPhi_{\rm T, ref}\) at reference location

dPhi_T_ref (type: real, dimension: n_row, units: \(G\Mstar/\Rstar^{2}\))

Tidal potential gradient \((\sderiv{\tPhi_{\rm T}}{x})_{\rm ref}\) at reference location

Omega_orb (type: real, dimension: n_row, units: controlled by freq_units and freq_frame options)

Orbital angular frequency \(\Oorb\)

q (type: real, dimension: n_row)

Ratio \(q\) of secondary mass to primary mass

e (type: real, dimension: n_row)

Orbital eccentricity \(e\)

R_a (type: real, dimension: n_row)

Ratio \(R/a\) of primary radius to orbital semi-major axis

cbar (type: real, dimension: n_row)

Tidal expansion coefficient \(\cbar_{\ell,m,k}\); see eqn. (A1) of Sun et al. (2023)

Gbar_1 (type: real, dimension: n_row)

Secular orbital evolution coefficient \(\Gbar^{(1)}_{\ell,m,k}\); equivalent to \(G^{(1)}_{\ell,m,-k}\) (see Willems et al., 2003)

Gbar_2 (type: real, dimension: n_row)

Secular orbital evolution coefficient \(\Gbar^{(2)}_{\ell,m,k}\); equivalent to \(G^{(2)}_{\ell,m,-k}\) (see Willems et al., 2003)

Gbar_3 (type: real, dimension: n_row)

Secular orbital evolution coefficient \(\Gbar^{(3)}_{\ell,m,k}\); equivalent to \(G^{(3)}_{\ell,m,-k}\) (see Willems et al., 2003)

Gbar_4 (type: real, dimension: n_row)

Secular orbital evolution coefficient \(\Gbar^{(4)}_{\ell,m,k}\); equivalent to \(G^{(4)}_{\ell,m,-k}\) (see Willems et al., 2003)

Gbar_E (type: real, dimension: n_row)

Secular energy transfer coefficient \(\Gbar^{(E)}_{\ell,m,k}\); derived from \(\Gbar^{(4)}_{\ell,m,k}\) by dropping the leading \(m\) term

Footnotes