Can Numerical Simulations Preserve ∇・B=0?(Experimental Development)

Abstract

This article describes numerical techniques to remove the influence of numerical magnetic monopole, ∇・B, in magnetohydrodynamic (MHD) numerical simulations. The techniques are categorized into three groups: 1. solving an additional system of equations, 2. specially discretizing the induction equation, 3. following the time evolution of the magnetic monopole. The basic concept described here must be applicable to other systems of evolution equations with constraints.