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arXiv · 2512.16346

A Locally Divergence-Free Local Characteristic Decomposition Based Path-Conservative Central-Upwind Scheme for Ideal Magnetohydrodynamics

Shaoshuai Chu·Alexander Kurganov·Maria Lukacova-Medvidova·Mingye Na
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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.

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Shaoshuai Chu, Alexander Kurganov, Maria Lukacova-Medvidova, Mingye Na. 2025-12-18. A Locally Divergence-Free Local Characteristic Decomposition Based Path-Conservative Central-Upwind Scheme for Ideal Magnetohydrodynamics. https://arxiv.org/abs/2512.16346

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