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Table 1

Parameters for the the simulations.

Run ϵ L c l ⊥ U 0 χ 0 χ L
(adim) (Mm) (Mm) (km s-1) (adim) (adim)
A 0.020 6 1.500 0.05 0.04 1.8
B 0.020 6 1.500 0.10 0.07 3.6
C 0.022 6 1.500 0.20 0.16 7.2
D 0.022 6 0.500 0.10 0.24 11
E 0.022 6 0.500 0.20 0.48 22
F 0.022 6 0.250 0.20 0.96 43
G 0.022 6 0.125 0.20 1.9 86
H 0.022 6 0.025 0.10 4.8 215
I 0.022 6 0.008 0.10 16 718
L 0.022 6 0.003 0.10 48 2154
A1L 0.020 6 1.500 0.025 0.02 0.9
B1L 0.020 6 1.500 0.10 0.07 3.6
C1L 0.020 6 1.500 0.20 0.14 7.2
D1L 0.020 6 0.500 0.10 0.22 11
E1L 0.020 6 0.125 0.10 0.86 43
F1L 0.020 6 0.063 0.10 1.7 86
G1L 0.020 6 0.025 0.10 4.3 215
H1L 0.020 6 0.008 0.10 14 718
I1L 0.020 6 0.003 0.10 43 2154
Acl 0 6 1.500 0.025 0.02 ∞
Bcl 0 6 1.500 0.10 0.07 ∞
Dcl 0 6 0.500 0.10 0.22 ∞
Ecl 0 6 0.125 0.10 0.86 ∞
Fcl 0 6 0.063 0.10 1.7 ∞
Gcl 0 6 0.013 0.10 8.6 ∞
Hcl 0 6 0.003 0.10 43 ∞

Notes. The three subpanels refer to the three-layer, one-layer, and closed models in which boundary conditions are open (three-layer), half reflecting (one-layer ), and line-tied (close). For all runs, Tf = ∞,  km s-1, Lch = 2   Mm (except for runs H,   I,   L that have Lch = 1   Mm). ϵ denotes the ratio of photospheric over coronal Alfvén speed (plays no explicit role in the closed model). Lc is the length of the coronal part of the loop. l⊥ is the perpendicular largest injection scale (the injected energy is distributed on scales l⊥, l⊥/2, and l⊥/4). U0 is the amplitude of the input wave. χ0 is the linear to nonlinear time ratio (Eq. (30)), χL is the leakage to nonlinear time ratio (Eq. (29)).

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