Grad–Shafranov reconstruction of magnetohydrostatic equilibria with nonisotropic plasma pressure

the theory

Research output: Contribution to journalLetter

3 Citations (Scopus)

Abstract

The basic theory for reconstruction of two-dimensional, coherent, magnetohydrostatic structures with nonisotropic plasma pressure is developed. Three field-line invariants are found in the system. A new Poisson-like partial differential equation is obtained for this reconstruction, which can be solved as a spatial initial-value problem in a manner similar to the so-called Grad–Shafranov reconstruction, without resort to auxiliary equations. Moreover, we find that with some simple substitutions this new equation can be applied for field-aligned flow with isotropic plasma pressure. The numerical code for new reconstruction has been developed and is benchmarked with an exact analytical solution. Results show that the reconstruction works well with small errors in a rectangular region surrounding the spacecraft trajectory. Applications to in situ spacecraft measurements will be reported separately.[Figure not available: see fulltext.].

Original languageEnglish
Article number34
JournalEarth, Planets and Space
Volume70
Issue number1
DOIs
Publication statusPublished - 1 Dec 2018

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magnetohydrostatics
plasma pressure
plasma
spacecraft
spacecraft trajectories
boundary value problems
partial differential equations
flow field
substitution
trajectory
substitutes

Keywords

  • Grad–Shafranov reconstruction
  • Magnetohydrostatic equilibria
  • Pressure anisotropy

ASJC Scopus subject areas

  • Geology
  • Space and Planetary Science

Cite this

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title = "Grad–Shafranov reconstruction of magnetohydrostatic equilibria with nonisotropic plasma pressure: the theory",
abstract = "The basic theory for reconstruction of two-dimensional, coherent, magnetohydrostatic structures with nonisotropic plasma pressure is developed. Three field-line invariants are found in the system. A new Poisson-like partial differential equation is obtained for this reconstruction, which can be solved as a spatial initial-value problem in a manner similar to the so-called Grad–Shafranov reconstruction, without resort to auxiliary equations. Moreover, we find that with some simple substitutions this new equation can be applied for field-aligned flow with isotropic plasma pressure. The numerical code for new reconstruction has been developed and is benchmarked with an exact analytical solution. Results show that the reconstruction works well with small errors in a rectangular region surrounding the spacecraft trajectory. Applications to in situ spacecraft measurements will be reported separately.[Figure not available: see fulltext.].",
keywords = "Grad–Shafranov reconstruction, Magnetohydrostatic equilibria, Pressure anisotropy",
author = "{Wai Leong}, Teh",
year = "2018",
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journal = "Earth, Planets and Space",
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T1 - Grad–Shafranov reconstruction of magnetohydrostatic equilibria with nonisotropic plasma pressure

T2 - the theory

AU - Wai Leong, Teh

PY - 2018/12/1

Y1 - 2018/12/1

N2 - The basic theory for reconstruction of two-dimensional, coherent, magnetohydrostatic structures with nonisotropic plasma pressure is developed. Three field-line invariants are found in the system. A new Poisson-like partial differential equation is obtained for this reconstruction, which can be solved as a spatial initial-value problem in a manner similar to the so-called Grad–Shafranov reconstruction, without resort to auxiliary equations. Moreover, we find that with some simple substitutions this new equation can be applied for field-aligned flow with isotropic plasma pressure. The numerical code for new reconstruction has been developed and is benchmarked with an exact analytical solution. Results show that the reconstruction works well with small errors in a rectangular region surrounding the spacecraft trajectory. Applications to in situ spacecraft measurements will be reported separately.[Figure not available: see fulltext.].

AB - The basic theory for reconstruction of two-dimensional, coherent, magnetohydrostatic structures with nonisotropic plasma pressure is developed. Three field-line invariants are found in the system. A new Poisson-like partial differential equation is obtained for this reconstruction, which can be solved as a spatial initial-value problem in a manner similar to the so-called Grad–Shafranov reconstruction, without resort to auxiliary equations. Moreover, we find that with some simple substitutions this new equation can be applied for field-aligned flow with isotropic plasma pressure. The numerical code for new reconstruction has been developed and is benchmarked with an exact analytical solution. Results show that the reconstruction works well with small errors in a rectangular region surrounding the spacecraft trajectory. Applications to in situ spacecraft measurements will be reported separately.[Figure not available: see fulltext.].

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KW - Pressure anisotropy

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