On the verification of adaptive three-dimensional multiresolution computations of the magnetohydrodynamic equations
This work provides a verification of an adaptive mesh refinement solver for magnetohydrodynamics, which is important for space physics simulations.
The paper introduces a 3D magnetohydrodynamic solver with divergence-cleaning in the adaptive multiresolution CARMEN code, demonstrating its accuracy by comparing results with the FLASH code.
Magnetohydrodynamics is an important tool to study the dynamics of plasma Space Physics. In this context, we introduce a three-dimensional magnetohydrodynamic solver with divergence-cleaning in the adaptive multiresolution CARMEN code. The numerical scheme is based on a finite volume discretization that ensures the conservation of physical quantities. The adaptive multiresolution approach allows for automatic identification of local structures in the numerical solution and thus provides an adaptive mesh refined only in regions where the solution needs more improved resolution. We assess the three-dimensional magnetohydrodynamic CARMEN code and compare its results with the ones from the well-known FLASH code.