Y. C.-M. Liu, M. Opher, O. Cohen P.C.Liewer and T.I.Gombosi A Simulation of a CME Propagation and Shock Evolution in the Lower Solar Corona Y. C.-M. Liu, M. Opher, O. Cohen P.C.Liewer and T.I.Gombosi George Mason University 01/03/2007
Outline CME and Solar Energetic Particles Why Lower Solar corona? Space Weather Modeling Framework Brief Introduction Simulations Background Solar Wind Initiate a CME Results Shock evolution, CME dynamics Conclusions
CME and SEPs Stereo Modified from Lee, 2005
Space Weather Modeling Framework Inner Heliosphere (IH) Solar Corona (SC) 24 Rs 1AU Rs is solar radii
MHD Equations
Heating?- Parameterized by
The Solar Wind CR 1922 solar minimum CR1922
CME Initiation Loss of equilibrium! The magnetic field under study is modeled by a force-free circular flux tube with the total current I, a pair of magnetic charges q and a line current I0. Below the photospheric plane. The flux tube is at force balance. Titov and Demoulin 1999
The inserted TD flux rope
Rising Flux Rope
Bright Front and Dark Void 2D slice at Z=0.11 t=10 minutes
Shock Speed and the background solar wind speed
Why Acceleration? The acceleration determined by F=Ma CME Pressures Drag Force Fd Gravity Sun The acceleration determined by F=Ma M=Mass_CME + Virtual Mass Fd=V2 Cd Forbes et al, 2006
The Density Peak after the Shock
Predicted and Modeled Acceleration 1 Cd=1, Mv=0; 2. Cd=tanhß, Mv=0; 3. Cd=1, considering Mv 4. Cd=tanhß, considering Mv, 5. Modeled acceleration
The Forces
Shock and Post Shock Compression Ratio
New Progress Forbes 1995?
More at: http://physics.gmu.edu/~yliuc/SWMF_Result _MAY14_2007/PostAGU2007/2Dslices/2D_slice_MagneticEvolution.html
Summary and Conclusions We present the first detailed CME simulation in the lower solar corona using SWMF Shock is nearly perpendicular at the nose The acceleration of the CME is controlled by the pressure forces and the drag force. Magnetic pressure contributes to the acceleration at the bottom of the solar corona The post shock acceleration exists in 3-5 Rs and it could contribute to the particle acceleration The configuration near the sheath needs to be resolved.