# Wavelet-based parallel dynamic mesh adaptation for magnetohydrodynamics in the AMROC framework

## TL;DR

This paper introduces a wavelet-based parallel mesh adaptation technique for magnetohydrodynamics simulations within the AMROC framework, enhancing computational efficiency and precision for space physics applications.

## Contribution

It presents a novel wavelet-based mesh adaptation method integrated into a parallel MHD solver in the AMROC framework, improving efficiency and accuracy.

## Key findings

- Enhanced mesh adaptation criteria using wavelet techniques
- Improved computational efficiency in MHD simulations
- Effective control of simulation precision with dynamic meshes

## Abstract

Computational magnetohydrodynamics (MHD) for space physics has become an essential area in understanding the multiscale dynamics of geophysical and astrophysical plasma processes, partially motivated by the lack of space data. Full MHD simulations are typically very demanding and may require substantial computational efforts. In particular, computational space-weather forecasting is an essential long-term goal in this area, motivated for instance by the needs of modern satellite communication technology. We present a new feature of a recently developed compressible two- and three-dimensional MHD solver, which has been successfully implemented into the parallel AMROC (Adaptive Mesh Refinement in Object-oriented C++) framework with improvements concerning the mesh adaptation criteria based on wavelet techniques. The developments are related to computational efficiency while controlling the precision using dynamically adapted meshes in space-time in a fully parallel context.