Simulating the Photospheric to Coronal Plasma Using Magnetohydrodynamic Characteristics. I. Data-driven Boundary Conditions Article Swipe
YOU?
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· 2024
· Open Access
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· DOI: https://doi.org/10.3847/1538-4365/ad0e0c
We develop a general description of how information propagates through a magnetohydrodynamic (MHD) system based on the method of characteristics and use that to formulate numerical boundary conditions that are intrinsically consistent with the MHD equations. Our formulation includes two major advances for simulations of the Sun. First, we derive data-driven boundary conditions that optimally match the state of the plasma inferred from a time series of observations of a boundary (e.g., the solar photosphere). Second, our method directly handles random noise and systematic bias in the observations, and finds a solution for the boundary evolution that is strictly consistent with MHD and maximally consistent with the observations. We validate the method against a Ground Truth ( GT ) simulation of an expanding spheromak. The data-driven simulation can reproduce the GT simulation above the photosphere with high fidelity when driven at high cadence. Errors progressively increase for lower driving cadence until a threshold cadence is reached and the driven simulation can no longer accurately reproduce the GT simulation. However, our characteristic formulation of the boundary conditions still requires adherence of the boundary evolution to the MHD equations even when the driven solution departs from the true solution in the driving layer. That increasing departure clearly indicates when additional information at the boundary is needed to fully specify the correct evolution of the system. The method functions even when no information about the evolution of some variables on the lower boundary is available, albeit with a further decrease in fidelity.
Related Topics
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.3847/1538-4365/ad0e0c
- https://iopscience.iop.org/article/10.3847/1538-4365/ad0e0c/pdf
- OA Status
- gold
- Cited By
- 9
- References
- 127
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4391470547
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W4391470547Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.3847/1538-4365/ad0e0cDigital Object Identifier
- Title
-
Simulating the Photospheric to Coronal Plasma Using Magnetohydrodynamic Characteristics. I. Data-driven Boundary ConditionsWork title
- Type
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articleOpenAlex work type
- Language
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enPrimary language
- Publication year
-
2024Year of publication
- Publication date
-
2024-02-01Full publication date if available
- Authors
-
Lucas A. Tarr, N. D. Kee, M. G. Linton, P. W. Schuck, James E. LeakeList of authors in order
- Landing page
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https://doi.org/10.3847/1538-4365/ad0e0cPublisher landing page
- PDF URL
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https://iopscience.iop.org/article/10.3847/1538-4365/ad0e0c/pdfDirect link to full text PDF
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YesWhether a free full text is available
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goldOpen access status per OpenAlex
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https://iopscience.iop.org/article/10.3847/1538-4365/ad0e0c/pdfDirect OA link when available
- Concepts
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Magnetohydrodynamic drive, Magnetohydrodynamics, Physics, Boundary (topology), Photosphere, Boundary value problem, Statistical physics, Mechanics, Classical mechanics, Plasma, Mathematical analysis, Mathematics, Magnetic field, Quantum mechanicsTop concepts (fields/topics) attached by OpenAlex
- Cited by
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9Total citation count in OpenAlex
- Citations by year (recent)
-
2025: 3, 2024: 6Per-year citation counts (last 5 years)
- References (count)
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127Number of works referenced by this work
- Related works (count)
-
10Other works algorithmically related by OpenAlex
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