We present a four-field virtual element discretization for the time-dependent resistive magnetohydrodynamics equations in three space dimensions, focusing on the semi-discrete formulation. The proposed method employs general polyhedral meshes and guarantees velocity and magnetic fields that are divergence free up to machine precision.We provide a full convergence analysis under suitable regularity assumptions, which is validated by some numerical tests.
The virtual element method for the 3D resistive magnetohydrodynamic model
L Beirao da Veiga;G Manzini;L Mascotto
2023
Abstract
We present a four-field virtual element discretization for the time-dependent resistive magnetohydrodynamics equations in three space dimensions, focusing on the semi-discrete formulation. The proposed method employs general polyhedral meshes and guarantees velocity and magnetic fields that are divergence free up to machine precision.We provide a full convergence analysis under suitable regularity assumptions, which is validated by some numerical tests.File in questo prodotto:
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