On nonlinear radial oscillations in convective RR Lyrae stars. I - The mathematical description. II - Comparison of a radiative and a convective model

Details On nonlinear radial oscillations in convective RR Lyrae stars. I - The mathematical description. II - Comparison of a radiative and a convective model On nonlinear radial oscillations in convective RR Lyrae stars. I - The mathematical description. II - Comparison of a radiative and a convective model

Nov 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992apj...399..265g&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 399, no. 1, p. 265-283.

Statistics

Computation

20

Computational Astrophysics, Mathematical Models, Stellar Convection, Stellar Oscillations, Variable Stars, Finite Difference Theory, Hydrodynamic Equations, Light Curve, Stellar Envelopes, Stellar Models, Stellar Temperature

Scientific paper

Attention is given to a set of equations for the computation of nonlinear radial oscillations in convective variable stars. It consists of the radiation hydrodynamical equations coupled with a time-dependent phenomenological model for the turbulent-convective energy transport. Some elementary properties of the latter are discussed. The set of the finite difference equations are written in an arbitrary coordinate system for each node. They are coupled to an adaptive-grid algorithm designed to resolve the ionization regions properly. An adaptive-grid algorithm is employed to obtain full-amplitude oscillations of a radiative and a convective RR Lyrae model that sits near the red edge. It is shown that this numerical technique is superior to the traditional one in that it is capable of computing smooth radial velocity and light curves. The adaptive grid is able to detect the ionization zones and to track them during the pulsation cycles.

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