Formal Solutions for Polarized Radiative Transfer. II. High-order Methods

Janett, Gioele; Steiner, Oskar; Belluzzi, Luca

doi:10.3847/1538-4357/AA7AA3

Title: Formal Solutions for Polarized Radiative Transfer. II. High-order Methods

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Abstract

When integrating the radiative transfer equation for polarized light, the necessity of high-order numerical methods is well known. In fact, well-performing high-order formal solvers enable higher accuracy and the use of coarser spatial grids. Aiming to provide a clear comparison between formal solvers, this work presents different high-order numerical schemes and applies the systematic analysis proposed by Janett et al., emphasizing their advantages and drawbacks in terms of order of accuracy, stability, and computational cost.

Authors:

Janett, Gioele; Steiner, Oskar; Belluzzi, Luca ^[1]

Istituto Ricerche Solari Locarno (IRSOL), 6605 Locarno-Monti (Switzerland)

Publication Date:: Sun Aug 20 00:00:00 EDT 2017

OSTI Identifier:: 22663242

Resource Type:: Journal Article

Journal Name:: Astrophysical Journal

Additional Journal Information:: Journal Volume: 845; Journal Issue: 2; Other Information: Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0004-637X

Country of Publication:: United States

Language:: English

Subject:: 79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; ACCURACY; COMPARATIVE EVALUATIONS; EQUATIONS; POLARIZATION; RADIANT HEAT TRANSFER; STABILITY; VISIBLE RADIATION

Citation Formats


                    Janett, Gioele, Steiner, Oskar, and Belluzzi, Luca. Formal Solutions for Polarized Radiative Transfer. II. High-order Methods.  United States: N. p., 2017. 
        Web.  doi:10.3847/1538-4357/AA7AA3.

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                    Janett, Gioele, Steiner, Oskar, & Belluzzi, Luca. Formal Solutions for Polarized Radiative Transfer. II. High-order Methods.  United States.  https://doi.org/10.3847/1538-4357/AA7AA3

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                    Janett, Gioele, Steiner, Oskar, and Belluzzi, Luca. 2017.  
        "Formal Solutions for Polarized Radiative Transfer. II. High-order Methods".  United States.  https://doi.org/10.3847/1538-4357/AA7AA3.

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@article{osti_22663242,

  title        = {Formal Solutions for Polarized Radiative Transfer. II. High-order Methods},

  author       = {Janett, Gioele and Steiner, Oskar and Belluzzi, Luca},

  abstractNote = {When integrating the radiative transfer equation for polarized light, the necessity of high-order numerical methods is well known. In fact, well-performing high-order formal solvers enable higher accuracy and the use of coarser spatial grids. Aiming to provide a clear comparison between formal solvers, this work presents different high-order numerical schemes and applies the systematic analysis proposed by Janett et al., emphasizing their advantages and drawbacks in terms of order of accuracy, stability, and computational cost.},

  doi          = {10.3847/1538-4357/AA7AA3},

  url          = {https://www.osti.gov/biblio/22663242},
  journal      = {Astrophysical Journal},

  issn         = {0004-637X},

  number       = 2,

  volume       = 845,

  place        = {United States},

  year         = {Sun Aug 20 00:00:00 EDT 2017},

  month        = {Sun Aug 20 00:00:00 EDT 2017}

}

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