Simulations of magnetoconvection and Solar-B. Max Planck Institute for Solar System Research
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1 Simulations of magnetoconvection and Solar-B A. Vögler, A. Lagg,, M. Schüssler,, S.K. Solanki Max Planck Institute for Solar System Research
2 Regimes of solar magnetoconvection quiet Sun plage average B sunspot umbra sunspot umbra horizontal scale of convection decreases convective energy transport decreases plage quiet Sun G-band image: VTT, Tenerife
3 MPS/UofC Radiation MHD (MURaM) Code Developed by the MPS MHD group (A. Vögler, R. Cameron, S. Shelyag, M. Schüssler) in cooperation with F. Cattaneo, Th. Emonet, T. Linde (Univ. of Chicago) 3D compressible MHD cartesian fixed grid radiative transfer: short characteristics non-grey (opacity binning), LTE partial ionisation (11 species) 4th order centered spatial difference scheme explicit time stepping: : 4th order Runge-Kutta Solar-B MPI parallelized (domain decomposition) and: extensive diagnostic tools to compare with observations (e.g. continuum, spectral line & polarization diagnostics)
4 Applications and Results of MURaM Structure and dynamics of photospheric flux concentrations (Vögler et al., 2003, 2005; Vögler & Schüssler 2003; Vögler 2003, 2004) Fractal dimension of magnetic patterns (Janssen et al. 2003) Effect of non-grey radiative transfer (Vögler et al. 2004) Nature of G-band bright points (Schüssler et al. 2003, Shelyag al. 2004) Origin of facular brightening (Keller et al. 2004) Solar pores (Cameron et al., 2005) Shelyag et Magnetic flux in internetwork fields (Khomenko et al. 2005a, b) Nature of umbral dots (Schüssler & Vögler 2006) Decay of mixed-polarity fields (Vögler et al, in Flux emergence (Cheung et al., in et al., in prep.) CLV of facular brightness (Zakharov et al. in et al, in prep.) et al. in prep.)
5 High Resolution Simulations <B z > = 200 G; Grid: 576 x 576 x 100 (10 km horiz.. cell size) Brightness Magnetic field.
6 B z v z Details of thin magnetic flux sheet T I C Horizontal cuts near surface level Vögler et al. 2005
7 3D view of a thin flux sheet Perspective view Face-on view Quasi 2-dimensional above the surface Loss of coherence beneath the surface Vögler et al Steiner et al Steiner et al. 1994
8 Facular brightening Limb Center (continuum image: SST, La Palma θ=60 λ=488nm) Recent observations reveal: (Lites et al. 2004) 3D appearance of faculae extension up to 0.5 narrow dark lanes centerward of faculae
9 Facular brightening Simulation: B0=400 G Observation θ=60 θ=0 Facula: narrow layer of hot material on side and top of adjacent granule Dark lane: - cool & tenuous material in adjacent flux concentration - cool & dense material above neighbouring granule continuum intensity at 488 nm magnetic field strength (Keller et al. 2004)
10 G-band spectrum synthesis G-Band (Fraunhofer): spectral range from 4295 to 4315 Å contains many temperature-sensitive molecular lines (CH) For comparison with observations, we define as G-band intensity the integral of the spectrum obtained from the simulation data: 4315 A [Shelyag, 2004] I G = 4295 I ( λ ) dλ A 241 CH lines + 87 atomic lines
11 G-band: Simulation vs. Observation Simulation (20 km resolution) Schüssler et al Shelyag et al Observation (~100 km resolution) (SST, La Palma, Scharmer et al. 2002)
12 B z & G-band radiance in simulations and observations G-band brightness ~ continuum brightness However, different constants of proportionality for magnetic and non-magnetic features Magnetic Magnetic flux invisible in G-G band? Magnetic <B> = 200 G SST measurement <B> = 10 G Zakharov [2006]
13 Magneto-convection in a sunspot umbra Suppressed energy transport dark Convective transport required to sustain raditative energy output Umbral dots a manifastation of convection? (e.g. overstable oscillations, intrusion of QS plasma)
14 Time evolution of the brightness pattern Quiet Sun <B>= 0 Sunspot umbra <B>= 2500 G Extreme plage <B>= 800 G 5800 km
15 Vertical cuts through an upflow umbral plume colors: temperature, v max = 3 km/s τ R = 1 Bz Temp perpendicular to the dark lane along to the dark lane
16 Near-surface layers of an upflow plume cut perpendicular to the dark lane τ R = 1 isotherms Piling-up of plasma below the cusp: τ=1 surface elevated central parts cut through lower temperature dark lane appears ( 15% contrast)
17 What next? Large scales: (small) Sunspots extension to chromosphere Small scales: role of the surface dynamo penumbral fine structure Comparison with Solar-B SOT data
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