Constraint preserving boundary conditions for the Ideal Newtonian MHD equations

TL;DR

This paper develops and analyzes boundary conditions that preserve physical constraints for the Newtonian MHD equations, aiming to improve the accuracy and stability of numerical simulations.

Contribution

It introduces new boundary conditions that maintain the divergence-free constraint of magnetic fields in Newtonian MHD simulations.

Findings

Boundary conditions effectively preserve constraints in numerical solutions.

Different boundary options impact the stability and accuracy of simulations.

The proposed methods improve the physical fidelity of MHD models.

Abstract

We study and develop constraint preserving boundary conditions for the Newtonian magnetohydrodynamic equations and analyze the behavior of the numerical solution upon considering different possible options.