2-D Stellar Evolution Code Including Arbitrary Magnetic Fields. I. Mathematical Techniques and Test Cases

Abstract

A high-precision two-dimensional stellar evolution code has been developed for studying solar variability due to structural changes produced by varying internal magnetic fields of arbitrary configurations. Specifically, we are interested in modeling the effects of a dynamo-type field on the detailed internal structure and on the global parameters of the Sun. The high precision is required both to model very small solar changes (of order of $10^{-4}$) and short time scales (or order of one year). It is accomplished by using the mass coordinate to replace the radial coordinate, by using fixed and adjustable time steps, a realistic stellar atmosphere, elements diffusion, and by adjusting the grid points. We have also built into the code the potential to subsequently include rotation and turbulence. The current code has been tested for several cases, including its ability to reproduce the 1-D results.

88 pages, 8 figures, accepted for publication in ApJS

References in corpus (6)

• Our Sun. V. A Bright Young Sun Consistent with Helioseismology and Warm Temperatures on Ancient Earth and Mars
• 3D convection simulations of the outer layers of the Sun using realistic physics
• Inclusion of turbulence in solar modeling
• Our Sun. IV. The Standard Model and Helioseismology: Consequences of Uncertainties in Input Physics and in Observed Solar Parameters
• Seismic Test of Solar Models, Solar Neutrinos and Implications for Metal-Rich Accretion
• The Non-Homologous Nature of Solar Diameter Variations

Cited by in corpus (9)

• Helioseismology and Solar Abundances
• YREC: The Yale Rotating Stellar Evolution Code
• Turbulent convection in stellar interiors. III. Mean-field analysis and stratification effects
• Theoretical values of convective turnover times and Rossby numbers for solar-like, pre-main sequence stars
• Effect of a fossil magnetic field on the structure of a young Sun
• Linking the Interiors and Surfaces of Magnetic Stars
• Two-Dimensional Stellar Evolution Code Including Arbitrary Magnetic Fields. II. Precision Improvement and Inclusion of Turbulence and Rotation
• Recent Advances in Modeling Stellar Interiors
• 2D solar modeling