Application of the continuous orthonormalization and adjoint methods to the computation of solar eigenfrequencies and eigenfrequency sensitivities

Details Application of the continuous orthonormalization and adjoint methods to the computation of solar eigenfrequencies and eigenfrequency sensitivities Application of the continuous orthonormalization and adjoint methods to the computation of solar eigenfrequencies and eigenfrequency sensitivities

Sep 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991apjs...77...97r&link_type=abstract

Astrophysical Journal Supplement Series (ISSN 0067-0049), vol. 77, Sept. 1991, p. 97-117. Research supported by DOE and USAF.

Statistics

Computation

2

Computational Astrophysics, Helioseismology, Solar Oscillations, Eigenvalues, Orthonormal Functions, Solar Interior

Scientific paper

Existing numerical techniques in helioseismology are applied in new ways to compute two sets of basic quantities: solar eigenfrequencies, computed via the continuous orthonormalization (CON) method, and their sensitivities with respect to changes in the solar equilibrium model, computed via the adjoint method. The CON method integrates an eighth-order nonlinear system of ordinary differential equations (ODEs) which defines the linear adiabatic nonradial oscillation modes of the sun. The adjoint method integrates a related eighth-order linear inhomogeneous system of ODEs. From the resultant solution, an eigenfrequency's partial derivatives with repsect to an extensive set of solar model parameters may be computed simultaneously. Numerical tests confirm the validity of the two methods. Eigenfrequencies obtained via the CON method agree with the corresponding eigenfrequencies obtained via finite-difference or mesh approaches. Eigenfrequency sensitivities for the three different types of modes (pressure, gravity, and fundamental) obtained via the adjoint method are presented.

Affiliated with

Also associated with

No associations

Rating

Application of the continuous orthonormalization and adjoint methods to the computation of solar eigenfrequencies and eigenfrequency sensitivities does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Application of the continuous orthonormalization and adjoint methods to the computation of solar eigenfrequencies and eigenfrequency sensitivities, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Application of the continuous orthonormalization and adjoint methods to the computation of solar eigenfrequencies and eigenfrequency sensitivities will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1335041