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NAOJ 2011/12/26-28 1 NAOJ


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SLIDE 1

動的な太陽大気モデルの系譜

磁気大気の活動性の起源

加藤 成晃(NAOJ)

1 太陽と恒星の物理学 2011/12/26-28

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SLIDE 2

動的な太陽大気モデルの系譜

磁気大気の活動性の起源

加藤 成晃(NAOJ)

1

Okamoto et al. (2007) Ca II H

太陽と恒星の物理学 2011/12/26-28

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SLIDE 3

概要

動的な太陽大気モデリングの系譜 今後の太陽大気モデリングの課題 新しい試みの紹介

2 太陽と恒星の物理学 2011/12/26-28

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SLIDE 4

Toward Realistic

Modelings of Solar Atmosphere

Heat conduction along field lines from corona Radiative Transfer

  • LTE + Non-LTE
  • Opacity

Continuum

Lines

  • Ionization

Collisional excitation

Photo-ionization

Magneto-convection

  • Radiative cooling
  • EOS

Schrijver 2001

z [Mm] 1 2 6000 K 106 K 105 K

太陽と恒星の物理学 2011/12/26-28 3

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SLIDE 5

Toward Realistic

Modelings of Solar Atmosphere

Heat conduction along field lines from corona Radiative Transfer

  • LTE + Non-LTE
  • Opacity

Continuum

Lines

  • Ionization

Collisional excitation

Photo-ionization

Magneto-convection

  • Radiative cooling
  • EOS

Schrijver 2001

z [Mm] 1 2 6000 K 106 K 105 K

太陽と恒星の物理学 2011/12/26-28

Basic equations

Solar “ingredients”:

3

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SLIDE 6

What physics need to be included in numerical simulations?

2-D/3-D domain ranging from convection zone to corona

Energy flow from convection zone to corona

Energy balance

Shock dissipation (High spatial resolution)

Conduction (Short time-scale)

Radiation in strong lines from H, Ca, Mg, He (Non-LTE 6-12 levels per element) and in many weak lines (many frequency bins)

Radiation transfer

Non-locality, Frequency integration, and Scattering

MHD

Reconnection, high Alfven velocity (Shor time-scale)

Chromosphere is mostly neutral (multi-fluid)

Plasma

Need to solve rate equation for Hydrogen ionization

non-Maxwellian distribution functions need kinetic modelling

Can we do this?

  • In principle, yes
  • 20 km resolution, 50 Mm box, NLTE H+Ca+He

+Mg: 6 million years on 5000 CPUs for one hour of solar time

  • In practice, no

by M. Carlsson

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SLIDE 7

Current understanding of the dynamics in Quiet Region

Convection zone Photosphere Chromosphere Corona

石川 岡本 勝川

太陽と恒星の物理学 2011/12/26-28 5

Conventional picture

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SLIDE 8

Canopy Sub-canopy Canopy β=1 Magnetic Sub-magnetic

太陽と恒星の物理学 2011/12/26-28

Convection zone

Current understanding of the dynamics in Quiet Region

Modern picture

6

τ500=1

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SLIDE 9

Magneto-convection simulation

“fly” movie by Mats Carlsson & Bob Stein (Stagger code)

7

G-band

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SLIDE 10

Magneto-convection simulation

“fly” movie by Mats Carlsson & Bob Stein (Stagger code)

7

G-band B-field

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SLIDE 11

Magneto-convection simulation

“fly” movie by Mats Carlsson & Bob Stein (Stagger code)

7

G-band B-field Height where tau=1

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SLIDE 12

Magneto-convection simulation

“fly” movie by Mats Carlsson & Bob Stein (Stagger code)

7

G-band B-field Height where tau=1

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SLIDE 13

3-D Dynamical Modeling of Network/Internetwork Region

  • M. Carlsson by using BIFROST

(Gudiksen et al. 2011)

太陽と恒星の物理学 2011/12/26-28 8

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SLIDE 14

3-D Dynamical Modeling of Network/Internetwork Region

  • M. Carlsson by using BIFROST

(Gudiksen et al. 2011)

太陽と恒星の物理学 2011/12/26-28 8

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SLIDE 15

3-D Dynamical Modeling of Network/Internetwork Region

  • M. Carlsson by using BIFROST

(Gudiksen et al. 2011)

太陽と恒星の物理学 2011/12/26-28 8

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SLIDE 16

Comparison between

Models and Observations

太陽と恒星の物理学 2011/12/26-28 9

RMHD Model atmosphere Detailed Radiation transfer Simulated intensity Reconstructed atmosphere Inversion Observations

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SLIDE 17

Ca II H-line formation

in 1-D Non-LTE Model atmosphere

by Carlsson & Stein 1992, 1994, 1995, 1997

太陽と恒星の物理学 2011/12/26-28 10

勝川

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SLIDE 18

Ca II H-line formation

in 1-D Non-LTE Model atmosphere

by Carlsson & Stein 1992, 1994, 1995, 1997

太陽と恒星の物理学 2011/12/26-28 10

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SLIDE 19

Current issues

for modeling of Solar atmosphere

Leenaarts et al. 2011

太陽と恒星の物理学 2011/12/26-28 11

Total heating rate ad-hoc heating rate Total Radiative heating rate Compression work What’s minimum temperature? Heating Cooling

Martinez-Sykora, De Pontieu, Hansteen 2012

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SLIDE 20

Chromosphere/Corona heating

“Energy flows”

太陽と恒星の物理学 2011/12/26-28 12

Excitation Propagation Dissipation

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SLIDE 21

Discovery of Excitation of Slow-modes

YK, Steiner, Steffen, Suematsu (2011) by using CO5BOLD white contour: Magnetic field line, Arrows: velocity White & Black curve: Optical surface

Tgas

Nx=400 Nz=165

13 太陽と恒星の物理学 2011/12/26-28

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SLIDE 22

4000 4400 4800 5200 x [km] time = 15.1 min 4000 4400 4800 5200 x [km]

  • 1200
  • 1000
  • 800
  • 600
  • 400
  • 200

200 z [km] time = 12.5 min 4000 4400 4800 5200 x [km] time = 13.8 min 4000 4400 4800 5200 x [km] time = 16.4 min

  • 10
  • 5

5 10

(b) (a)

Vz [km s-1]

12 13 14 15 16 17 18 Time [min]

  • 1200
  • 1000
  • 800
  • 600
  • 400
  • 200

200 z [km] downdraft

<Vz>skin [km s-1]

12 13 14 15 16 17 18 Time [min] downflow shock upflow

<Vz>core [km s-1]

Downflow Upflow <!>core = 1 <">core = 1 core skin skin 14 Spatially averaged vertical velocity in the skin region

EXCITATION OF SLOW-MODE & SHOCK

YK, Steiner, Steffen, Suematsu (2011) Spatially averaged vertical velocity in the core region 太陽と恒星の物理学 2011/12/26-28

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SLIDE 23

4000 4400 4800 5200 x [km] time = 15.1 min 4000 4400 4800 5200 x [km]

  • 1200
  • 1000
  • 800
  • 600
  • 400
  • 200

200 z [km] time = 12.5 min 4000 4400 4800 5200 x [km] time = 13.8 min 4000 4400 4800 5200 x [km] time = 16.4 min

  • 10
  • 5

5 10

(b) (a)

Vz [km s-1]

12 13 14 15 16 17 18 Time [min]

  • 1200
  • 1000
  • 800
  • 600
  • 400
  • 200

200 z [km] downdraft

<Vz>skin [km s-1]

12 13 14 15 16 17 18 Time [min] downflow shock upflow

<Vz>core [km s-1]

Downflow Upflow <!>core = 1 <">core = 1

Downflows Shock wave Magnetic pumping

14 Spatially averaged vertical velocity in the skin region

EXCITATION OF SLOW-MODE & SHOCK

YK, Steiner, Steffen, Suematsu (2011)

Downdrafts

Spatially averaged vertical velocity in the core region 太陽と恒星の物理学 2011/12/26-28

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SLIDE 24

まとめ

動的な太陽大気モデリングにはRMHDが必要不可欠!

磁気大気:Canopyなどの複雑な磁場構造によって大気構造が決まっている Ca II H-lineの放射メカニズムには衝撃波からの複雑な寄与がある

実用的なRMHD計算技術の開発が必要

Opacity table/Realistic EOS 高速化

定常一次元”平行平板”大気モデルについて

ただし「動的な太陽大気モデル」から「定常一次元的な大気モデル」を再構 築することは、太陽と恒星の理論と観測の両方の面で重要かも知れない。

15 太陽と恒星の物理学 2011/12/26-28