Magnetic Field EvolutionÉ
Two different theoretical studies of magnetic field evolution
First Approach:  Exploration Ð this is how most research in Solar Physics is done today
Second Approach:  ÒPrognosticÓ Modeling
Slide 5
The Transport of Magnetic Flux
Slide 7
The Turbulent Dynamo
Slide 9
Slide 10
The Turbulent Dynamo and X-ray Flux in Stars
The Turbulent Dynamo and X-ray Flux in Stars
Can we develop a physics-based model of magnetic field evolution that could predict solar flares and coronal mass ejections?

To what extent can we determine the flows in an active region by observing changes in the magnetic field at the photosphere?
Determining the physically consistent flow field is an essential part of this problem
The LCT, FLCT techniques
Example of FLCT applied to NOAA AR 8210 (May 1 1998)
The Demoulin & Berger Interpretation of LCT
The Ideal MHD Induction Equation
ILCT Ð Use LCT to constrain solutions of the induction equation
Apply ILCT to IVM vector magnetogram data for AR 8210
Must have some kind of initial conditions:
Time dependent boundary conditions for the coronal MHD code
Illustration of 2 coupled codes
Toward a Data-driven Simulation of AR-8210
4 hrs of solar time, corresponding to the vector magnetogram time sequence
Data Driven Simulations:
Plans for future