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Development of a high-order divergence-free shock capturing scheme for plasma fluid equations

Research Project

Project/Area Number 15K04756
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Computational science
Research InstitutionHiroshima University

Principal Investigator

MIYOSHI Takahiro  広島大学, 理学研究科, 助教 (60335700)

Research Collaborator MATSUMOTO yosuke  
MINOSHIMA takashi  
Project Period (FY) 2015-04-01 – 2019-03-31
Project Status Completed (Fiscal Year 2018)
Budget Amount *help
¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
Fiscal Year 2018: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2017: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2016: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2015: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Keywords数値計算手法 / プラズマ物理学 / 磁気流体力学方程式 / 二流体方程式 / 磁気流体方程式
Outline of Final Research Achievements

Development of highly accurate numerical methods for plasma fluid equations, which describe the interaction between flows of matter and electromagnetic fields, is one of the most important and common tasks in space physics and astrophysics. The purpose of this study is to develop a robust and highly accurate multidimensional numerical method for plasma fluid equations. In particular, this study succeeded in developing a high-order divergence-free shock capturing scheme for magnetohydrodynamics, in which discretized Gauss’ law for magnetic fields is strictly satisfied. Moreover, for full compressible two-fluid equations, where a full set of electron fluid, ion fluid, and Maxwell’s equations is taken into consideration, elements of the divergence-free shock capturing schemes were researched and developed.

Academic Significance and Societal Importance of the Research Achievements

様々な宇宙・天体現象において,物質の流れと電磁場が本質的な役割を果たすことが,近年の観測的研究の著しい進展によって明らかになってきた。本研究では,流れと電磁場の相互作用を記述するプラズマ流体方程式に対し,離散的なガウスの法則を厳密に満足するロバストかつ高精度な数値解法を新たに開発した。本研究で開発した手法は,宇宙・天体の突発現象の解明に直結すると共に,電磁場解析など工学的なモデル方程式系に対しても適用可能と期待する。

Report

(5 results)
  • 2018 Annual Research Report   Final Research Report ( PDF )
  • 2017 Research-status Report
  • 2016 Research-status Report
  • 2015 Research-status Report
  • Research Products

    (22 results)

All 2019 2018 2017 2016 2015

All Journal Article (5 results) (of which Int'l Joint Research: 3 results,  Peer Reviewed: 5 results,  Open Access: 2 results,  Acknowledgement Compliant: 1 results) Presentation (17 results) (of which Int'l Joint Research: 3 results,  Invited: 1 results)

  • [Journal Article] Mechanism of non-steady Petschek-type reconnection with uniform resistivity2019

    • Author(s)
      Shibayama Takuya、Kusano Kanya、Miyoshi Takahiro、Bhattacharjee Amitava
    • Journal Title

      Physics of Plasmas

      Volume: 26 Issue: 3 Pages: 032903-032903

    • DOI

      10.1063/1.5084771

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] A New HLLD Riemann Solver with Boris Correction for Reducing Alfven Speed2019

    • Author(s)
      Matsumoto, Tomoaki; Miyoshi, Takahiro; Takasao, Shinsuke
    • Journal Title

      The Astrophysical Journal

      Volume: 874 Issue: 1 Pages: 37-37

    • DOI

      10.3847/1538-4357/ab05cb

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] A high-order weighted finite difference scheme with a multi-state approximate Riemann solver for divergence-free magnetohydrodynamic simulations2019

    • Author(s)
      Takashi Minoshima, Takahiro Miyoshi, Yosuke Matsumoto
    • Journal Title

      The Astrophysical Journal Supplement

      Volume: 印刷中

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Boosting magnetic reconnection by viscosity and thermal conduction2016

    • Author(s)
      Takashi Minoshima, Takahiro Miyoshi, Shinsuke Imada
    • Journal Title

      Physics of Plasmas

      Volume: 23

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Fast magnetic reconnection supported by sporadic small-scale Petschek-type shocks2015

    • Author(s)
      Takuya Shibayama,Kanya Kusano, Takahiro Miyoshi, Takashi Nakabou, Grigory Vekstein
    • Journal Title

      Physics of Plasmas

      Volume: 22 Issue: 10 Pages: 100706-100706

    • DOI

      10.1063/1.4934652

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Presentation] 圧力および重力効果を含む彩層・太陽コロナ磁場モデリング2019

    • Author(s)
      三好隆博, 草野完也, 井上諭
    • Organizer
      日本天文学会2019年春季年会
    • Related Report
      2018 Annual Research Report
  • [Presentation] 移流方程式に対するLTS-WENOスキーム2018

    • Author(s)
      三好隆博
    • Organizer
      日本地球惑星科学連合2018年大会
    • Related Report
      2018 Annual Research Report
  • [Presentation] A magnetohydrodynamic relaxation method for non-force-free magnetic fields in magnetohydrostatic equilibria2018

    • Author(s)
      Takahiro Miyoshi, Kanya Kusano, Satoshi Inoue
    • Organizer
      COSPAR 2018
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 磁気静水圧平衡磁場外挿法の開発2018

    • Author(s)
      三好隆博, 草野完也, 井上諭
    • Organizer
      STEシミュレーション研究会
    • Related Report
      2018 Annual Research Report
  • [Presentation] Force-free磁場に対する高速磁気リコネクション2018

    • Author(s)
      三好隆博
    • Organizer
      プラズマシミュレータシンポジウム 2018
    • Related Report
      2018 Annual Research Report
  • [Presentation] An investigation of numerical techniques in an MHD relaxation method for NLFFF extrapolation2017

    • Author(s)
      Takahiro Miyoshi, Kanya Kusano, Satoshi Inoue
    • Organizer
      JpGU-AGU Join Meeting 2017
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] 磁気流体力学2017

    • Author(s)
      三好隆博
    • Organizer
      磁気流体プラズマで探る高エネルギー天体現象研究会
    • Related Report
      2017 Research-status Report
    • Invited
  • [Presentation] 振動型生成項を含む双曲型釣合則に対する数値解法2017

    • Author(s)
      三好隆博
    • Organizer
      STEシミュレーション研究会
    • Related Report
      2017 Research-status Report
  • [Presentation] 磁気静水圧平衡問題に対する新しい磁気流体力学的緩和法の開発2017

    • Author(s)
      三好隆博
    • Organizer
      プラズマシミュレータシンポジウム2017
    • Related Report
      2017 Research-status Report
  • [Presentation] 鉛直1次元温度場中の非フォースフリー太陽磁場モデルに対する磁気流体力学的緩和法2017

    • Author(s)
      三好隆博, 草野完也, 井上諭
    • Organizer
      日本天文学会2017年秋季大会
    • Related Report
      2017 Research-status Report
  • [Presentation] 太陽大気における磁気静水圧平衡磁場の再構成手法の開発2017

    • Author(s)
      三好隆博, 草野完也, 井上諭
    • Organizer
      MHD理論研究会「MHDシミュレーションのための先進的数値計算手法」
    • Related Report
      2017 Research-status Report
  • [Presentation] 完全二流体方程式に対する高次精度数値解法の基礎的研究2016

    • Author(s)
      三好隆博
    • Organizer
      プラズマシミュレータシンポジウム2016
    • Place of Presentation
      核融合科学研究所 (土岐市)
    • Year and Date
      2016-09-07
    • Related Report
      2016 Research-status Report
  • [Presentation] Weighted compact nonlinear scheme for multidimensional magnetohydrodynamics2016

    • Author(s)
      Takahiro Miyoshi, Takashi Minoshima, Yosuke Matsumoto
    • Organizer
      18th International Congress on Plasma Physics
    • Place of Presentation
      Kaohsiung Exhibition Center (Kaohsiung, Taiwan)
    • Year and Date
      2016-06-27
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Higher-order weighted compact nonlinear scheme for magnetohydrodynamics2016

    • Author(s)
      三好隆博, 簑島敬, 松本洋介
    • Organizer
      日本地球惑星科学連合2016年大会
    • Place of Presentation
      幕張メッセ (千葉市)
    • Year and Date
      2016-05-22
    • Related Report
      2016 Research-status Report
  • [Presentation] 磁気流体力学方程式に対する高次精度衝撃波捕獲差分スキームの開発2016

    • Author(s)
      三好隆博, 簑島敬, 松本洋介
    • Organizer
      日本天文学会2016年春季年会
    • Place of Presentation
      首都大学東京(八王子市)
    • Year and Date
      2016-03-14
    • Related Report
      2015 Research-status Report
  • [Presentation] MHD方程式に対する衝撃波捕獲差分法2015

    • Author(s)
      三好隆博
    • Organizer
      プラズマシミュレータシンポジウム2015
    • Place of Presentation
      核融合科学研究所(土岐市)
    • Year and Date
      2015-09-03
    • Related Report
      2015 Research-status Report
  • [Presentation] プラズマ流中での抵抗性磁気リコネクション2015

    • Author(s)
      三好隆博, 草野完也, 柴山拓也
    • Organizer
      日本地球惑星科学連合2015年大会
    • Place of Presentation
      幕張メッセ(千葉市)
    • Year and Date
      2015-05-24
    • Related Report
      2015 Research-status Report

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Published: 2015-04-16   Modified: 2020-03-30  

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