Axisymmetric smoothed particle magneto-hydrodynamics

TL;DR

This paper introduces a novel axisymmetric smoothed particle magneto-hydrodynamics (SPMHD) code tailored for astrophysical and terrestrial scenarios with axial symmetry, offering comparable accuracy to 3D codes but with reduced computational demands.

Contribution

The authors develop and validate the first axisymmetric SPMHD scheme, filling a gap in existing computational tools for magneto-hydrodynamics in symmetric geometries.

Findings

The axisymmetric code produces results similar to 3D SPMHD codes.

The new code requires significantly less computational resources.

Validation shows the code's effectiveness for symmetry-based physical problems.

Abstract

Many astrophysical and terrestrial scenarios involving magnetic fields can be approached in axial geometry. Although the smoothed particle hydrodynamics (SPH) technique has been successfully extended to magneto-hydrodynamics (MHD), a well-verified, axisymmetric MHD scheme based on such technique does not exist yet. In this work we fill that gap in the scientific literature and propose and check a novel axisymmetric MHD hydrodynamic code, that can be applied to physical problems which display the adequate geometry. We show that the hydrodynamic code built following these axisymmetric hypothesis is able to produce similar results than standard 3D-SPMHD codes with equivalent resolution but with much lesser computational load.