UvA-DARE (Digital Academic Repository) Solar surface magnetism: selected topics Thaler, I. Link to publication Citation for published version (APA): Thaler, I. (2014). Solar surface magnetism: selected topics General rights It is not permitted to download or to forward/distribute the text or part of it without the consent of the author(s) and/or copyright holder(s), other than for strictly personal, individual use, unless the work is under an open content license (like Creative Commons). Disclaimer/Complaints regulations If you believe that digital publication of certain material infringes any of your rights or (privacy) interests, please let the Library know, stating your reasons. In case of a legitimate complaint, the Library will make the material inaccessible and/or remove it from the website. Please Ask the Library: http://uba.uva.nl/en/contact, or a letter to: Library of the University of Amsterdam, Secretariat, Singel 425, 1012 WP Amsterdam, The Netherlands. You will be contacted as soon as possible. UvA-DARE is a service provided by the library of the University of Amsterdam (http://dare.uva.nl) Download date: 19 Jun 2017 Contents 1 2 3 Introduction 1.1 Magnetic Field Generation on the Sun . . . . . . . . . . . . . . . . . 1.1.1 Global dynamo action- The solar cycle . . . . . . . . . . . . 1.2 Local Dynamo Action on the Solar Surface? . . . . . . . . . . . . . . 1.3 The Total Solar Irradiance Variation due to Magnetic Structures on Solar Surface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1.4 Sunspots . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1.4.1 Life time of a sunspot? . . . . . . . . . . . . . . . . . . . . . 1.4.2 What causes a sunspot to have a penumbra? . . . . . . . . . . 1.5 Summary of main results . . . . . . . . . . . . . . . . . . . . . . . . Brightness of the Sun’s small scale magnetic field: proximity effects 2.1 Brightness variation of the Sun . . . . . . . . . . . . . . . . . . 2.2 Causes of brightness variation . . . . . . . . . . . . . . . . . . . 2.2.1 Observations . . . . . . . . . . . . . . . . . . . . . . . . 2.2.2 Simulations . . . . . . . . . . . . . . . . . . . . . . . . . 2.3 Brightness of magnetic structures and their environment . . . . . 2.3.1 Origin of magnetic brightenings . . . . . . . . . . . . . . 2.3.2 Dark rings and dark lanes . . . . . . . . . . . . . . . . . 2.4 Calculations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2.4.1 Numerical methods . . . . . . . . . . . . . . . . . . . . . 2.4.2 Setup . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2.5 Results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2.5.1 Sources of darkening . . . . . . . . . . . . . . . . . . . . 2.5.2 Resolution dependence . . . . . . . . . . . . . . . . . . . 2.5.3 Vertical velocities . . . . . . . . . . . . . . . . . . . . . . 2.6 Discussion and conclusions . . . . . . . . . . . . . . . . . . . . . 1 1 1 4 5 6 7 8 9 . . . . . . . . . . . . . . . 13 13 14 14 15 16 16 17 19 19 20 21 23 27 27 28 Flux canceling in 3D radiative MHD simulations 3.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3.2 Three-dimensional magnetic fields . . . . . . . . . . . . . . . . . . . 39 40 41 . . . . . . . . . . . . . . . viii Solar Surface Magnetism 3.3 3.4 3.5 4 5 3.2.1 ‘flux canceling’ . . . . . . . . . . . . . . . . . . . . 3.2.2 Simulations . . . . . . . . . . . . . . . . . . . . . . . Calculations . . . . . . . . . . . . . . . . . . . . . . . . . . . 3.3.1 Numerical methods . . . . . . . . . . . . . . . . . . . 3.3.2 Setup . . . . . . . . . . . . . . . . . . . . . . . . . . 3.3.3 Analysis . . . . . . . . . . . . . . . . . . . . . . . . Results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3.4.1 Initial vertical magnetic field with uniform |Bz | = 50 G 3.4.2 Initial magnetic field fragmented into kG flux tubes . . 3.4.3 Dependence on initial field strength . . . . . . . . . . Discussion and conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Small Scale dynamos on the solar surface: dependence on magnetic Prandtl number 4.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4.2 Dynamos, fluctuating and non-, at low Prm . . . . . . . . . . . . . . . 4.2.1 Transient behavior . . . . . . . . . . . . . . . . . . . . . . . 4.2.2 Experimental evidence . . . . . . . . . . . . . . . . . . . . . 4.2.3 Indications of solar small-scale dynamo action . . . . . . . . 4.3 Calculations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4.3.1 Numerical methods . . . . . . . . . . . . . . . . . . . . . . . 4.3.2 Setup . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4.3.3 Implementation of the magnetic Prandtl parameter in the STAGGER code . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4.4 Results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4.5 Discussion and Conclusions . . . . . . . . . . . . . . . . . . . . . . 4.5.1 Relation between intrinsically weak and strong surface fields . 4.5.2 Role of an imposed weak net flux . . . . . . . . . . . . . . . Sunspots 5.1 Why sunspots are interesting? . . . . . . . . . . . . . . . . . . 5.2 How do sunspots look below the surface- the anchoring problem 5.2.1 How do sunspots appear at the photosphere? . . . . . . 5.2.2 Sunspot modeling . . . . . . . . . . . . . . . . . . . . 5.2.3 Life time of a sunspot in simulations . . . . . . . . . . . 5.3 Additional boundary force increases stability of a sunspot? . . . 5.3.1 Numerical Methods . . . . . . . . . . . . . . . . . . . . 5.3.2 Set-up . . . . . . . . . . . . . . . . . . . . . . . . . . . 5.3.3 Results and Discussion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42 45 45 45 46 49 50 50 53 54 56 63 64 65 66 67 67 68 68 69 69 71 72 73 74 77 77 77 78 80 80 81 81 82 84 Contents 5.4 ix What causes a sunspot to have a penumbra? . . . . . . . . . . . 5.4.1 Does a perturbation of the magnetic field in convection trigger the formation of a penumbra in the photosphere? 5.4.2 Perturbation force description . . . . . . . . . . . . . . 5.4.3 Results and Discussion . . . . . . . . . . . . . . . . . . Nederlandse Samenvatting Acknowledgments . . . zone . . . . . . . . . 88 89 89 90 97 105
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