MHD Generation Code

TL;DR

This paper presents a flexible software tool that generates Fortran and C codes for Magnetohydrodynamic equations using the REDUCE computer algebra system, facilitating numerical simulations in various coordinate systems.

Contribution

It introduces a customizable code generation approach for MHD equations leveraging REDUCE and exterior calculus, adaptable to different metrics and spacetime geometries.

Findings

Generated code for Cartesian coordinates demonstrated

The method simplifies discretization process

Flexible for various metrics and spacetime geometries

Abstract

A program to generate codes in Fortran and C of the full Magnetohydrodynamic equations is shown. The program used the free computer algebra system software REDUCE. This software has a package called EXCALC, which is an exterior calculus program. The advantage of this program is that it can be modified to include another complex metric or spacetime. The output of this program is modified by means of a LINUX script which creates a new REDUCE program to manipulate the MHD equations to obtain a code that can be used as a seed for a MHD code for numerical applications. As an example, we present part of output of our programs for Cartesian coordinates and how to do the discretization.