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Extending ILCT to LOS Data Sets: Analyzing Flow Consistency with Induction Equations

This study explores the applicability of the Induction Law of Current Transfer (ILCT) to Line-of-Sight (LOS) data sets, emphasizing flow consistency with induction equations' normal components. We investigate using ILCT-derived flows and 3D component decomposition, while addressing the challenge of lacking direct measurements of the transverse magnetic field (B⊥) at the photosphere. Also, the initial magnetic field conditions are estimated using a combination of global Potential Field Source Surface (PFSS) and local Nonlinear Force-Free Field (NLFFF) models, facilitating data-driven simulations of magnetic events during the SOHO era.

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Extending ILCT to LOS Data Sets: Analyzing Flow Consistency with Induction Equations

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  1. Directly measured Derived by ILCT ILCT-Derived Flows are Consistent with Induction Eqn’s Normal Component.

  2. Can we extend ILCT to LOS data sets? , where • Near disk center, we can approximate BLOS Bz. • Use LCT to get uLCT, with LOSt to calculate uILCT that satisfies induction eqn’s normal component. • To decompose ILCT flow, uILCT , into (vx, vy, vz), we need B at photosphere – but lack measured B! • But we can use B from code – an educated guess for initial condition, then from current time step.

  3. The other components can also be specified. Directly measured Derived by ILCT For t=0, use NLFFF extrapolation; for t>0, use code’s current B Calculated by Boundary Code at photosphere, z = 0 above photosphere, z > 0

  4. The other components can also be specified. Directly measured Derived by ILCT For t=0, use NLFFF extrapolation; for t>0, use code’s current B Calculated by Boundary Code

  5. Extending ILCT to LOS data sets, cont’d: • Long-duration data sets of MDI full-disk magneto- grams exist for most events in SOHO era! • Initial B(x,y,z) can be given by combination of global PFSS model + local NLFFF consistent with • X-ray/EUV observations. • In principle, can run data-driven simulations of almost all events in SOHO era!

  6. Induction Equation’s Components

  7. Demoulin & Berger (Sol. Phys. 2003): Effect of vertical motion on apparent horizontal motion U: • Apparent horizontal motion can be either true horizontal motion, or vertical motion of a tilted field geometry.

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