AZEuS: An Adaptive Zone Eulerian Scheme for Computational MHD
Jon P. Ramsey, David A. Clarke, and Alexander B. Men'shchikov

TL;DR
AZEuS introduces an adaptive mesh refinement extension to the ZEUS-3D MHD code, improving accuracy and efficiency for astrophysical simulations by adapting to the staggered mesh structure and employing higher-order interpolations.
Contribution
It presents the first AMR implementation for ZEUS-3D that is fully adapted to its staggered mesh structure, enhancing its capabilities for complex MHD simulations.
Findings
Successful implementation of AMR in ZEUS-3D with staggered mesh
Accurate solutions in 1D, 2D, and 3D test problems
Effective use of higher-order interpolations for static grids
Abstract
A new adaptive mesh refinement (AMR) version of the ZEUS-3D astrophysical magnetohydrodynamical (MHD) fluid code, AZEuS, is described. The AMR module in AZEuS has been completely adapted to the staggered mesh that characterises the ZEUS family of codes, on which scalar quantities are zone-centred and vector components are face-centred. In addition, for applications using static grids, it is necessary to use higher-order interpolations for prolongation to minimise the errors caused by waves crossing from a grid of one resolution to another. Finally, solutions to test problems in 1-, 2-, and 3-dimensions in both Cartesian and spherical coordinates are presented.
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