Reconstructing the solar coronal magnetic field as a force-free magnetic field

T. Amari; J. J. Aly; J. F. Luciani; T. Z. Boulmezaoud; Z. Mikic

doi:10.1023/a:1004966830232

Reconstructing the solar coronal magnetic field as a force-free magnetic field

T. Amari
, J. J. Aly
, J. F. Luciani
, T. Z. Boulmezaoud
, Z. Mikic

Research output: Contribution to journal › Article › peer-review

Abstract

We present some preliminary results on different mathematical problems encountered in attempts to reconstruct the coronal magnetic field, assumed to be in a force-free state, from its values in the photosphere. We discuss the formulations associated with these problems, and some new numerical methods that can be used to get their approximate solutions. Both the linear constant-α and the nonlinear cases are considered. We also discuss the possible use of dynamical 3D MHD codes to construct approximate solutions of the equilibrium force-free equations, which are needed for testing numerical extrapolation schemes.

Original language	English
Pages (from-to)	129-149
Number of pages	21
Journal	Solar Physics
Volume	174
Issue number	1-2
DOIs	https://doi.org/10.1023/a:1004966830232
Publication status	Published - 1 Jan 1997

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title = "Reconstructing the solar coronal magnetic field as a force-free magnetic field",

abstract = "We present some preliminary results on different mathematical problems encountered in attempts to reconstruct the coronal magnetic field, assumed to be in a force-free state, from its values in the photosphere. We discuss the formulations associated with these problems, and some new numerical methods that can be used to get their approximate solutions. Both the linear constant-α and the nonlinear cases are considered. We also discuss the possible use of dynamical 3D MHD codes to construct approximate solutions of the equilibrium force-free equations, which are needed for testing numerical extrapolation schemes.",

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AU - Amari, T.

AU - Aly, J. J.

AU - Luciani, J. F.

AU - Boulmezaoud, T. Z.

AU - Mikic, Z.

PY - 1997/1/1

Y1 - 1997/1/1

N2 - We present some preliminary results on different mathematical problems encountered in attempts to reconstruct the coronal magnetic field, assumed to be in a force-free state, from its values in the photosphere. We discuss the formulations associated with these problems, and some new numerical methods that can be used to get their approximate solutions. Both the linear constant-α and the nonlinear cases are considered. We also discuss the possible use of dynamical 3D MHD codes to construct approximate solutions of the equilibrium force-free equations, which are needed for testing numerical extrapolation schemes.

AB - We present some preliminary results on different mathematical problems encountered in attempts to reconstruct the coronal magnetic field, assumed to be in a force-free state, from its values in the photosphere. We discuss the formulations associated with these problems, and some new numerical methods that can be used to get their approximate solutions. Both the linear constant-α and the nonlinear cases are considered. We also discuss the possible use of dynamical 3D MHD codes to construct approximate solutions of the equilibrium force-free equations, which are needed for testing numerical extrapolation schemes.

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DO - 10.1023/a:1004966830232

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VL - 174

SP - 129

EP - 149

JO - Solar Physics

JF - Solar Physics

IS - 1-2

ER -

Reconstructing the solar coronal magnetic field as a force-free magnetic field

Abstract

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