1. 1 SDO/HMI Products From Vector Magnetograms Yang Liu – Stanford University yliu@solar.stanford.edu

2. 2 HMI Science Analysis Plan Magnetic Shear

3. 3 Coronal magnetic fields. (NLFFF, MHD) Plasma flow. Synoptic maps. Solar transients Connectivity & separatrix Energy flux through the photosphere. Heliospheric magnetic field. Dynamical evolution. Empirical estimate; MHD simulation. Prediction of IMF & solar wind speed. “minimum” energy method (Metcalf, 1994). “structure minimization” method (Georgoulis et al, 2004). 1. ILCT (Welsch et al, 2004), 2. “The minimum energy fit” (Longcope, 2004), 3. “induction equation” (Kusano et al, 2002). 1. Optimization approach (Wheatland et al, 2000); 2. Boundary element method (Yan & Sakurai, 2000). PFSS & HCCSSS models MHD simulation Topology structure MHD simulation Helicity flux through the photosphere.