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 |
---|---|---|---|
|
\(N\) |
integer |
number of spatial grid points |
|
\(\omega\) |
complex |
dimensionless eigenfrequency |
|
\(x\) |
real( |
independent variable; defined in Variables section |
|
\(y_{1}\) |
complex( |
dependent variable; defined in Variables section |
|
\(y_{2}\) |
complex( |
dependent variable; defined in Variables section |
|
\(y_{3}\) |
complex( |
dependent variable; defined in Variables section |
|
\(y_{4}\) |
complex( |
dependent variable; defined in Variables section |
|
\(y_{5}\) |
complex( |
dependent variable; defined in Variables section |
|
\(y_{6}\) |
complex( |
dependent variable; defined in Variables section |
Observables¶
Item |
Symbol |
Datatype |
Description |
---|---|---|---|
|
— |
complex |
dimensioned frequency; units and reference frame controlled by
|
|
— |
string |
|
|
— |
string |
|
|
\(f_{T}\) |
real |
Effective temperature perturbation amplitude; evaluated using eqn. 5 of Dupret et al. (2003) |
|
\(f_{\rm g}\) |
real |
Effective gravity perturbation amplitude; evaluated using eqn. 6 of Dupret et al. (2003) |
|
\(\psi_{T}\) |
real |
Effective temperature perturbation phase; evaluated using eqn. 5 of Dupret et al. (2003) |
|
\(\psi_{\rm g}\) |
real |
Effective gravity perturbation phase; evaluated using eqn. 6 of Dupret et al. (2003) |
Classification & Validation¶
Item |
Symbol |
Datatype |
Description |
---|---|---|---|
|
\(j\) |
integer |
unique mode index |
|
\(\ell\) |
integer |
harmonic degree |
|
\(\ell_{\rm i}\) |
complex |
effective harmonic degree at inner boundary |
|
\(m\) |
integer |
azimuthal order |
|
\(\np\) |
integer |
acoustic-wave winding number |
|
\(\ng\) |
integer |
gravity-wave winding number |
|
\(\npg\) |
integer |
radial order within the Eckart-Scuflaire-Osaki-Takata scheme (see Takata, 2006b) |
|
\(\omega_{\rm int}\) |
complex |
dimensionless eigenfrequency; evaluated by integrating \(\sderiv{\zeta}{x}\) |
|
\(\sderiv{\zeta}{x}\) |
complex( |
dimensionless frequency weight function; controlled by |
|
\(\mathcal{Y}_{1}\) |
complex( |
primary eigenfunction for Takata classification; evaluated using a rescaled eqn. 69 of Takata (2006b) |
|
\(\mathcal{Y}_{2}\) |
complex( |
secondary eigenfunction for Takata classification; evaluated using a rescaled eqn. 70 of Takata (2006b) |
|
\(I_{0}\) |
complex( |
first integral for radial modes; evaluated using eqn. 42 of Takata (2006a) |
|
\(I_{1}\) |
complex( |
first integral for dipole modes; evaluated using eqn. 43 of Takata (2006a) |
|
\(\varpi\) |
integer( |
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 |
---|---|---|---|
|
\(x_{\rm ref}\) |
real |
fractional radius of reference location |
|
\(\txi_{r,{\rm ref}}\) |
complex |
radial displacement perturbation at reference location [\(R\)] |
|
\(\txi_{\rm h,ref}\) |
complex |
radial displacement perturbation at reference location [\(R\)] |
|
\(\tPhi'_{\rm ref}\) |
complex |
Eulerian potential perturbation at reference location [\(GM/R\)] |
|
\((\sderiv{\tPhi'}{x})_{\rm ref}\) |
complex |
Eulerian potential gradient perturbation at reference location [\(GM/R^{2}\)] |
|
\(\delta\tS_{\rm ref}\) |
complex |
Lagrangian specific entropy perturbation at reference location [\(R\)] |
|
\(\delta\tL_{\rm R,ref}\) |
complex |
Lagrangian radiative luminosity perturbation at reference location [\(L\)] |
|
\(\txir\) |
complex |
radial displacement perturbation [\(R\)] |
|
\(\txih\) |
complex |
radial displacement perturbation [\(R\)] |
|
\(\tPhi'\) |
complex |
Eulerian potential perturbation [\(GM/R\)] |
|
\(\sderiv{\tPhi'}{x}\) |
complex |
Eulerian potential gradient perturbation [\(GM/R^{2}\)] |
|
\(\delta\tS\) |
complex |
Lagrangian specific entropy perturbation [\(\cP\)] |
|
\(\delta\tLrad\) |
complex |
Lagrangian radiative luminosity perturbation [\(L\)] |
|
\(\tP'\) |
complex |
Eulerian total pressure perturbation [\(P\)] |
|
\(\trho'\) |
complex |
Eulerian density perturbation [\(\rho\)] |
|
\(\tT'\) |
complex |
Eulerian temperature perturbation [\(T\)] |
|
\(\delta\tP\) |
complex |
Lagrangian total pressure perturbation [\(P\)] |
|
\(\delta\trho\) |
complex |
Lagrangian density perturbation [\(\rho\)] |
|
\(\delta\tT\) |
complex |
Lagrangian temperature perturbation [\(T\)] |
Energetics & Transport¶
Item |
Symbol |
Datatype |
Description |
---|---|---|---|
|
\(\eta\) |
real |
normalized growth rate \(\eta\); evaluated using expression in text of page 1186 of Stellingwerf (1978) |
|
\(E\) |
real |
mode inertia [\(M R^{2}\)]; evaluated by integrating \(\sderiv{E}{x}\) |
|
\(E_{\rm p}\) |
real |
acoustic mode inertia [\(M R^{2}\)]; evaluated by integrating \(\sderiv{E}{x}\) where \(\varpi=1\) |
|
\(E_{\rm g}\) |
real |
gravity mode inertia [\(M R^{2}\)]; evaluated by integrating \(\sderiv{E}{x}\) in regions where \(\varpi=-1\) |
|
\(E_{\rm norm}\) |
real |
normalized inertia; evaluation controlled by |
|
real |
ratio of mode inertias inertia inside/outside reference location |
|
|
\(H\) |
real |
mode energy [\(G M^{2}/R\)] |
|
\(W\) |
real |
mode work [\(G M^{2}/R\)]; evaluated by integrating \(\sderiv{W}{x}\) |
|
\(W_{\epsilon}\) |
real |
mode work [\(G M^{2}/R\)]; evaluated by integrating \(\sderiv{W_{\epsilon}}{x}\) |
|
\(\tau_{\rm ss}\) |
real |
steady-state torque [\(G M^{2}/R\)]; evaluated by integrating \(\sderiv{\tau_{\rm ss}}{x}\) |
|
\(\tau_{\rm tr}\) |
real |
steady-state torque [\(G M^{2}/R\)]; evaluated by integrating \(\sderiv{\tau_{\rm tr}}{x}\) |
|
\(\sderiv{E}{x}\) |
real( |
differential inertia [\(M R^{2}\)] |
|
\(\sderiv{W}{x}\) |
real( |
differential work [\(GM^{2}/R\)]; evaluated using eqn. 25.9 of Unno et al. (1989) |
|
\(\sderiv{W_{\epsilon}}{x}\) |
real( |
differential nuclear work [\(GM^{2}/R\)]; evaluated using eqn. 25.9 of Unno et al. (1989) |
|
\(\sderiv{\tau_{\rm ss}}{x}\) |
real( |
steady-state differential torque [G M^{2}/R] |
|
\(\sderiv{\tau_{\rm tr}}{x}\) |
real( |
transient differential torque [G M^{2}/R] |
|
\(\alpha_{0}\) |
real( |
excitation coefficient; evaluated using eqn. 26.10 of Unno et al. (1989) |
|
\(\alpha_{1}\) |
real( |
excitation coefficient; evaluated using eqn. 26.12 of Unno et al. (1989) |
Rotation¶
Item |
Symbol |
Datatype |
Description |
---|---|---|---|
|
\(\delta \omega\) |
real |
dimensionless first-order rotational splitting; evaluated using eqn. 3.355 of Aerts et al. (2010) |
|
— |
real |
dimensioned first-order rotational splitting; units and reference frame controlled by
|
|
\(\beta\) |
real |
rotation splitting coefficient; evaluated by integrating \(\sderiv{\beta}{x}\) |
|
\(\sderiv{\beta}{x}\) |
complex( |
unnormalized rotation splitting kernel; evaluated using eqn. 3.357 of Aerts et al. (2010) |
|
\(\lambda\) |
complex( |
tidal equation eigenvalue |
Stellar Structure¶
Item |
Symbol |
Datatype |
Description |
---|---|---|---|
|
\(M\) |
real |
stellar mass [\(\gram\)] |
|
\(R\) |
real |
stellar radius [\(\cm\)] |
|
\(L\) |
real |
stellar luminosity [\(\erg\,\second^{-1}\)] |
|
\(\Delta \nu\) |
real |
asymptotic p-mode large frequency separation [\(\sqrt{GM/R^{3}}\)] |
|
\((\Delta P)^{-1}\) |
real |
asymptotic g-mode inverse period separation [\(\sqrt{GM/R^{3}}\)] |
|
\(V_2\) |
real( |
structure coefficient; defined in Structure Coefficients section |
|
\(A^{*}\) |
real( |
structure coefficient; defined in Structure Coefficients section |
|
\(U\) |
real( |
structure coefficient; defined in Structure Coefficients section |
|
\(c_{1}\) |
real( |
structure coefficient; defined in Structure Coefficients section |
|
\(\Gammi\) |
real( |
adiabatic exponent; defined in Linearized Equations section |
|
\(\nabla\) |
real( |
temperature gradient; defined in Structure Coefficients section Dimensionless Formulation section |
|
\(\nabad\) |
real( |
adiabatic temperature gradient; defined in Linearized Equations section |
|
\(\dnabad\) |
real( |
derivative of adiabatic temperature gradient |
|
\(\upsT\) |
real( |
thermodynamic coefficient; defined in Linearized Equations section |
|
\(\clum\) |
real( |
structure coefficient; defined in Structure Coefficients section |
|
\(\crad\) |
real( |
structure coefficient; defined in Structure Coefficients section |
|
\(\cthn\) |
real( |
structure coefficient; defined in Structure Coefficients section |
|
\(\cthk\) |
real( |
structure coefficient; defined in Structure Coefficients section |
|
\(\ceps\) |
real( |
structure coefficient; defined in Structure Coefficients section |
|
\(\kaprho\) |
real( |
opacity partial; defined in Linearized Equations section |
|
\(\kapT\) |
real( |
opacity partial; defined in Linearized Equations section |
|
\(\epsrho\) |
real( |
nuclear energy generation partial; defined in Linearized Equations section |
|
\(\epsT\) |
real( |
nuclear energy generation partial; defined in Linearized Equations section |
|
\(\Omega\) |
real( |
rotation angular frequency [\(\sqrt{GM/R^{3}}\)] |
|
\(M_r\) |
real( |
interior mass [\(\gram\)] |
|
\(P\) |
real( |
total pressure [\(\barye\)] |
|
\(\rho\) |
real( |
density [\(\gram\,\cm^{-3}\)] |
|
\(T\) |
real( |
temperature [\(\kelvin\)] |
Footnotes