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Table 2

Results of the Taylor model compared to the MHD model.

Case Final radius Taylor δE MHD δE

Constraint 1 Constraint 2 Constraint 3 MHD (estimate) Constraint 1 Constraint 2 Constraint 3

1* 1.0 (each) 0.999 (each) 1.018 (each) 1.0–1.5 –2.70 –2.608 –3.88 –3.031
2 1.414 1.412 1.445 1.3–1.5 –3.26 -3.164 –4.69 –3.069
3* 1.0 (each) 0.999 1.006 1.2–1.5 –1.35 –1.304 –1.94 –1.5
4 1.414 1.413 1.437 1.4–1.5 –2.36 –2.29 –3.41 –2.3

Notes.

(*)

Case 3 only considers one flux rope (in the Taylor model) resolving itself since the first rope is stable, case 1 is twice that of case 3. The force free parameter (α) for case 2 is 0.258, for case 4 is 0.2133, and for a single kink unstable flux rope of λ = 1.8 is 0.510.

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