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Peer-reviewedCC BY 4.0The Astrophysical Journal

A Numerical Path-preserving and Path-conservative Osher–Solomon Scheme for Solar Wind Simulation

  • Caixia Li1
  • Jiachun Xu1
  • Zhenning Shen2
  • Xueshang Feng3,4
4 affiliations
  1. 1Shenzhen Technology University
  2. 2Macau University of Science and Technology
  3. 3Chinese Academy of Sciences
  4. 4Harbin Institute of Technology
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Abstract

We develop a numerical path-preserving and path-conservative Osher–Solomon scheme (NPP-POS) for steady-state solar-wind simulations within the ideal GLM-MHD framework. The method evaluates the Osher–Solomon interface dissipation through a numerically integrated state-space path and incorporates a numerical path-preserving correction designed to mitigate pseudoconvergence associated with spurious intermediate states and to improve the treatment of Alfvénic characteristics across tangential-field discontinuities. Controlled MHD Riemann tests show that NPP-POS better preserves large-angle tangential-field rotations and suppresses spurious intermediate structures compared with the original POS scheme. In the CR 2193 background solar-wind simulation, POS and NPP-POS produce broadly similar large-scale magnetic structures. HCS-focused diagnostics suggest that NPP-POS can reduce local residuals, sharpen the magnetic reversal layer, and decrease the estimated heliospheric-current-sheet thickness. The CR 2193 solution reproduces the main coronal and near-Sun solar-wind features and is broadly consistent with near-Sun remote-sensing constraints and in situ solar-wind measurements after ballistic mapping. Overall, the results suggest that NPP-POS improves the numerical treatment of tangential-field reversal regions while retaining the practical capability required for global solar-wind modeling.

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Cite

BibTeXRIS
BibTeX
@article{li2026numerical,
  title = {{A Numerical Path-preserving and Path-conservative Osher–Solomon Scheme for Solar Wind Simulation}},
  author = {Caixia Li and Jiachun Xu and Zhenning Shen and Xueshang Feng},
  journal = {The Astrophysical Journal},
  year = {2026},
  month = sep,
  doi = {10.3847/1538-4357/aea136},
  url = {https://iopscience.iop.org/article/10.3847/1538-4357/aea136},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - A Numerical Path-preserving and Path-conservative Osher–Solomon Scheme for Solar Wind Simulation
AU  - Caixia Li
AU  - Jiachun Xu
AU  - Zhenning Shen
AU  - Xueshang Feng
PY  - 2026
DA  - 2026/09/30
JO  - The Astrophysical Journal
DO  - 10.3847/1538-4357/aea136
UR  - https://iopscience.iop.org/article/10.3847/1538-4357/aea136
AB  - We develop a numerical path-preserving and path-conservative Osher–Solomon scheme (NPP-POS) for steady-state solar-wind simulations within the ideal GLM-MHD framework. The method evaluates the Osher–Solomon interface dissipation through a numerically integrated state-space path and incorporates a numerical path-preserving correction designed to mitigate pseudoconvergence associated with spurious intermediate states and to improve the treatment of Alfvénic characteristics across tangential-field discontinuities. Controlled MHD Riemann tests show that NPP-POS better preserves large-angle tangential-field rotations and suppresses spurious intermediate structures compared with the original POS scheme. In the CR 2193 background solar-wind simulation, POS and NPP-POS produce broadly similar large-scale magnetic structures. HCS-focused diagnostics suggest that NPP-POS can reduce local residuals, sharpen the magnetic reversal layer, and decrease the estimated heliospheric-current-sheet thickness. The CR 2193 solution reproduces the main coronal and near-Sun solar-wind features and is broadly consistent with near-Sun remote-sensing constraints and in situ solar-wind measurements after ballistic mapping. Overall, the results suggest that NPP-POS improves the numerical treatment of tangential-field reversal regions while retaining the practical capability required for global solar-wind modeling.
SN  - 0004-637X
SN  - 1538-4357
ER  -