C2 representations of the solar background coefficients for the model S-AtmoI

TL;DR

This paper develops smooth C2 representations of solar interior and atmospheric parameters from discrete data points, facilitating advanced wave propagation studies in solar physics.

Contribution

It introduces a method to construct C2 continuous models of solar background coefficients from discrete data, including the transition region between the Sun's interior and atmosphere.

Findings

C2 representations enable accurate wave propagation modeling.

Models are publicly available for further research.

Addresses challenges in transitioning from discrete data to smooth functions.

Abstract

We construct C2 representations of the background quantities that characterize the interior of the Sun and its atmosphere starting from the data-points of the standard solar model S. This model is further extended considering an isothermal atmosphere, that we refer to as model AtmoI. It is not trivial to build the C2 representations of the parameters from a discrete set of values, in particular in the transition region between the end of model S and the atmosphere. This technical work is needed as a crucial building block to study theoretically and numerically the propagation of waves in the Sun, using the equations of solar oscillations (also referred to as Galbrun's equation in aeroacoustics). The constructed models are available at http://phaidra.univie.ac.at/o:1097638.