Adaptive two- and three-dimensional multiresolution computations of resistive magnetohydrodynamics

TL;DR

This paper introduces an adaptive finite volume method for resistive magnetohydrodynamics in 2D and 3D, utilizing multiresolution analysis for efficient and precise simulations of complex MHD phenomena.

Contribution

It presents a novel adaptive multiresolution approach for resistive MHD equations with divergence cleaning, implemented in an open source code, improving efficiency and accuracy.

Findings

Demonstrates high accuracy in shock-cloud interaction simulations

Shows efficient grid adaptation reduces computational resources

Validates the method with magnetic reconnection benchmarks

Abstract

Fully adaptive computations of the resistive magnetohydrodynamic (MHD) equations are presented in two and three space dimensions using a finite volume discretization on locally refined dyadic grids. Divergence cleaning is used to control the incompressibility constraint of the magnetic field. For automatic grid adaptation a cell-averaged multiresolution analysis is applied which guarantees the precision of the adaptive computations, while reducing CPU time and memory requirements. Implementation issues of the open source code CARMEN-MHD are discussed. To illustrate its precision and efficiency different benchmark computations including shock-cloud interaction and magnetic reconnection are presented.