Benchmarking the solar dynamo with Maxima

TL;DR

This paper demonstrates how to replicate the solar dynamo benchmark using Maxima, a computer algebra system, complementing previous numerical tests with analytical free-decay mode analysis in spherical vacuum conditions.

Contribution

It introduces a Maxima-based approach to reproduce the solar dynamo benchmark and extends it with an analytical test for free-decay modes in spherical vacuum environments.

Findings

Successfully replicated the solar dynamo benchmark with Maxima

Extended the benchmark with free-decay mode analysis

Validated the approach with previous numerical results

Abstract

Recently, Jouve et al(A&A, 2008) published the paper that presents the numerical benchmark for the solar dynamo models. Here, I would like to show a way how to get it with help of computer algebra system Maxima. This way was used in our paper (Pipin & Seehafer, A&A 2008, in print) to test some new ideas in the large-scale stellar dynamos. In the present paper I complement the dynamo benchmark with the standard test that address the problem of the free-decay modes in the sphere which is submerged in vacuum.