Axisymmetric magneto-hydrodynamics with SPH

TL;DR

This paper introduces a new axisymmetric MHD code based on SPH, enabling efficient simulations of astrophysical and engineering problems with similar accuracy to 3D codes but at reduced computational cost.

Contribution

The paper develops and validates the first well-verified axisymmetric SPH-based MHD scheme for astrophysical and engineering applications.

Findings

The axisymmetric code produces results comparable to 3D-SPH-MHD codes.

The new scheme significantly reduces computational effort.

Validation shows accurate modeling of magnetic fields in axial geometries.

Abstract

Many interesting terrestrial and astrophysical scenarios involving magnetic fields can be approached in axial geometry. Even though the Lagrangian smoothed particle hydrodynamics (SPH) technique has been successfully extended to handle magneto-hydrodynamic (MHD) problems, a well-verified, axisymmetric MHD scheme based on the SPH technique does not exist. In this work, we propose and check a new axisymmetric MHD hydrodynamic code that can be applied to astrophysical and engineering problems which display an adequate geometry. We show that a hydrodynamic code built on these axisymmetric premises is able to produce similar results to standard 3D-SPHMHD codes but with much lesser computational effort.