Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 447, Issue -, Pages -Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2021.110694
Keywords
Locally divergence-free; MHD; WLS-ENO; Finite volume method
Funding
- B-type Strategic Priority Program of the Chinese Academy of Sciences [XDB41000000]
- National Natural Science Foundation of China [41731067, 42030204, 41874202, 42104168, 41861164026]
- Specialized Research Fund for State Key Laboratories
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This paper introduces a modified reconstruction method that preserves the conservation of cell average values and combines the divergence-free constraint with conservative features to make the magnetic field locally divergence-free. The proposed scheme maintains both the divergence-free constraint and ENO property for the magnetic field without using any limiter, and is applicable to simulations of ideal MHD equations.
In this paper, the WLS-ENO (Weighted-Least-Squares based Essentially Non-Oscillatory) reconstruction is modified to maintain the conservation of the cell average values. Furthermore, the divergence-free constraint is combined with the conservative WLS-ENO reconstruction, which can make the magnetic field locally divergence-free. The main merit of the proposed reconstruction scheme is that it can keep both the divergence-free constraint and ENO property for the magnetic field without using any limiter. We apply the scheme to the simulations of ideal MHD equations within the framework of a positivity-preserving finite volume method. The convergence, the magnetic field divergence error and the capability for low plasma-beta of the scheme are tested by some MHD benchmark problems. (C) 2021 Elsevier Inc. All rights reserved.
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