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
commaseparated 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 
acousticwave winding number 

\(\ng\) 
integer 
gravitywave winding number 

\(\npg\) 
integer 
radial order within the EckartScuflaireOsakiTakata 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 acousticwave regions, \(\varpi=1\) in gravitywave 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 
steadystate torque [\(G M^{2}/R\)]; evaluated by integrating \(\sderiv{\tau_{\rm ss}}{x}\) 

\(\tau_{\rm tr}\) 
real 
steadystate 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( 
steadystate 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 firstorder rotational splitting; evaluated using eqn. 3.355 of Aerts et al. (2010) 

— 
real 
dimensioned firstorder 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 pmode large frequency separation [\(\sqrt{GM/R^{3}}\)] 

\((\Delta P)^{1}\) 
real 
asymptotic gmode 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