ILCT-Derived Flows are Consistent with Induction Eqn’s Normal Component.
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ILCT-Derived Flows are ILCT-Derived Flows are Consistent with Induction Eqn’s Consistent with Induction Eqn’s Normal Component. Normal Component. z y x z y x z B t B ) ( v ) ( v v B B Directly measured Directly measured Derived by ILCT Derived by ILCT
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Directly measured. Derived by ILCT. ILCT-Derived Flows are Consistent with Induction Eqn’s Normal Component. Can we extend ILCT to LOS data sets?. , where. Near disk center, we can approximate B LOS B z . - PowerPoint PPT Presentation
Transcript of ILCT-Derived Flows are Consistent with Induction Eqn’s Normal Component.
ILCT-Derived Flows are Consistent with ILCT-Derived Flows are Consistent with Induction Eqn’s Normal Component.Induction Eqn’s Normal Component.
zyxzyxz B
t
B)( v)( vvBB
Directly measuredDirectly measured Derived by ILCTDerived by ILCT
Can we extend ILCT to LOS data sets? Can we extend ILCT to LOS data sets?
0)(
zz B
t
Bu
Bvu
z
z
B
v, where
• Near disk center, we can approximate BLOS Bz.
• Use LCT to get uLCT, with LOSt 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.
Directly measuredDirectly measured Calculated by Calculated by Boundary CodeBoundary Code
The other components can also be specified.The other components can also be specified.
Derived Derived by ILCTby ILCT
For t=0, use NLFFFFor t=0, use NLFFFextrapolation; for t>0, extrapolation; for t>0, use code’s current Buse code’s current B
at photosphere, z = 0 above photosphere, z > 0
)vv()vv(
)vv()vv(
yzyzyxyxy
xzxzxyxyx
BBz
BBxt
B
BBz
BByt
B
)vv()vv(
)vv()vv(
yzyzyxyxy
xzxzxyxyx
BBz
BBxt
B
BBz
BByt
B
Directly measuredDirectly measured Calculated by Calculated by Boundary CodeBoundary Code
Derived Derived by ILCTby ILCT
The other components can also be specified.The other components can also be specified.
For t=0, use NLFFFFor t=0, use NLFFFextrapolation; for t>0, extrapolation; for t>0, use code’s current Buse code’s current B
Extending ILCT to LOS data sets, cont’d: 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!
Induction Equation’s ComponentsInduction Equation’s Components
xzxyzxy
xzyxzyx
zyxzyxz
Bt
B
Bt
B
Bt
B
)( v)(
)( v)(
)( v)(
vvBB
vvBB
vvBB
Demoulin & Berger (Sol. Phys. 2003): Effect of Demoulin & Berger (Sol. Phys. 2003): Effect of vertical motion on apparent horizontal motion vertical motion on apparent horizontal motion UU::
Apparent horizontal motion can be either true horizontal motion, or vertical motion of a tilted field geometry.
