A Locally Divergence-Free Local Characteristic Decomposition Based Path-Conservative Central-Upwind Scheme for Ideal Magnetohydrodynamics
Numerical Analysis
2025-12-19 v1 Numerical Analysis
Abstract
We introduce a locally divergence-free local characteristic decomposition based path-conservative central-upwind (LCD-PCCU) scheme for ideal magnetohydrodynamics (MHD) equations. The proposed method is a low-dissipation extension of the recently proposed locally divergence-free PCCU scheme. To reduce the numerical dissipation, we incorporate the LCD into the PCCU framework. The resulting LCD-PCCU method enhances the resolution of numerical solutions as demonstrated through a series of benchmark tests.
Keywords
Cite
@article{arxiv.2512.16346,
title = {A Locally Divergence-Free Local Characteristic Decomposition Based Path-Conservative Central-Upwind Scheme for Ideal Magnetohydrodynamics},
author = {Shaoshuai Chu and Alexander Kurganov and Maria Lukacova-Medvidova and Mingye Na},
journal= {arXiv preprint arXiv:2512.16346},
year = {2025}
}