Table 1.
Summary of the parameter space used and results from the uniform heating study presented in Sect. 4.3.
| Case | 2L | QH | τH | Time | T(SH(RL = 14)) | T(TRAC(RL = 5,[3])) | ΔT | n(SH) | n(TRAC(RL = 5,[3])) | Δn |
|---|---|---|---|---|---|---|---|---|---|---|
| (Stage of evolution) | (Mm) | (10−4 Jm−3 s−1) | (s) | (s) | (MK) | (MK) | (%) | (1015 m−3) | (1015 m−3) | (%) |
| 1 (peak heating) | 60 | 8 | 60 | 30 | 1.77 | 1.77 [1.77] | 0.00 [0.00] | 0.35 | 0.35 [0.35] | 0.00 [0.00] |
| 1 (peak density) | 60 | 8 | 60 | 550 | 1.35 | 1.34 [1.32] | 0.74 [2.22] | 0.58 | 0.59 [0.60] | −1.72 [−3.45] |
| 1 (decay) | 60 | 8 | 60 | 900 | 1.14 | 1.13 [1.11] | 0.88 [2.63] | 0.58 | 0.59 [0.59] | −1.72 [−1.72] |
| 2 (peak heating) | 60 | 80 | 60 | 30 | 6.48 | 6.47 [6.46] | 0.15 [0.31] | 0.35 | 0.35 [0.35] | 0.00 [0.00] |
| 2 (peak density) | 60 | 80 | 60 | 600 | 2.11 | 2.10 [2.01] | 0.47 [4.74] | 1.85 | 1.93 [1.88] | −4.32 [−1.62] |
| 2 (decay) | 60 | 80 | 60 | 800 | 1.73 | 1.70 [1.63] | 1.73 [5.78] | 1.71 | 1.75 [1.71] | −2.34 [0.00] |
| 3 (peak heating) | 60 | 800 | 60 | 30 | 13.81 | 13.77 [13.71] | 0.29 [0.72] | 0.65 | 0.65 [0.65] | 0.00 [0.00] |
| 3 (peak density) | 60 | 800 | 60 | 450 | 4.45 | 4.45 [4.35] | 0.00 [2.25] | 8.24 | 8.80 [8.70] | −6.80 [−5.58] |
| 3 (decay) | 60 | 800 | 60 | 800 | 3.06 | 3.02 [2.95] | 1.31 [3.59] | 7.26 | 7.63 [7.52] | −5.10 [−3.58] |
| 4 (peak heating) | 60 | 8 | 600 | 300 | 3.79 | 3.76 [3.73] | 0.79 [1.58] | 0.79 | 0.80 [0.80] | −1.27 [−1.27] |
| 4 (peak density) | 60 | 8 | 600 | 900 | 2.17 | 2.16 [2.12] | 0.46 [2.30] | 1.87 | 1.89 [1.90] | −1.07 [−1.60] |
| 4 (decay) | 60 | 8 | 600 | 1700 | 1.05 | 1.04 [1.01] | 0.95 [3.81] | 1.42 | 1.44 [1.42] | −1.41 [0.00] |
| 5 (peak heating) | 60 | 80 | 600 | 300 | 7.65 | 7.57 [7.46] | 1.05 [2.48] | 3.45 | 3.56 [3.57] | −3.19 [−3.48] |
| 5 (peak density) | 60 | 80 | 600 | 800 | 4.41 | 4.40 [4.32] | 0.23 [2.04] | 8.22 | 8.48 [8.51] | −3.16 [−3.53] |
| 5 (decay) | 60 | 80 | 600 | 1400 | 2.29 | 2.27 [2.17] | 0.87 [5.24] | 6.26 | 6.36 [6.19] | −1.60 [1.12] |
| 6 (peak heating) | 60 | 800 | 600 | 300 | 15.04 | 14.88 [14.65] | 1.06 [2.59] | 16.95 | 17.78 [17.78] | −4.90 [−4.90] |
| 6 (peak density) | 60 | 800 | 600 | 700 | 9.19 | 9.12 [8.97] | 0.76 [2.39] | 36.97 | 38.77 [38.82] | −4.87 [−5.00] |
| 6 (decay) | 60 | 800 | 600 | 1300 | 3.43 | 3.28 [3.20] | 4.37 [6.71] | 25.69 | 25.91 [25.55] | −0.86 [0.54] |
| 7 (peak heating) | 180 | 0.5 | 60 | 30 | 1.41 | 1.41 [1.41] | 0.00 [0.00] | 0.068 | 0.068 [0.068] | 0.00 [0.00] |
| 7 (peak density) | 180 | 0.5 | 60 | 750 | 1.34 | 1.34 [1.34] | 0.00 [0.00] | 0.084 | 0.084 [0.085] | 0.00 [−1.19] |
| 7 (decay) | 180 | 0.5 | 60 | 2000 | 1.19 | 1.19 [1.19] | 0.00 [0.00] | 0.083 | 0.083 [0.084] | 0.00 [−1.20] |
| 8 (peak heating) | 180 | 5 | 60 | 30 | 3.60 | 3.60 [3.60] | 0.00 [0.00] | 0.068 | 0.068 [0.068] | 0.00 [0.00] |
| 8 (peak density) | 180 | 5 | 60 | 525 | 2.31 | 2.31 [2.28] | 0.00 [1.30] | 0.20 | 0.20 [0.20] | 0.00 [0.00] |
| 8 (decay) | 180 | 5 | 60 | 2500 | 1.33 | 1.32 [1.30] | 0.75 [2.26] | 0.17 | 0.17 [0.17] | 0.00 [0.00] |
| 9 (peak heating) | 180 | 50 | 60 | 30 | 8.06 | 8.06 [8.06] | 0.00 [0.00] | 0.26 | 0.26 [0.26] | 0.00 [0.00] |
| 9 (peak density) | 180 | 50 | 60 | 1000 | 3.54 | 3.54 [3.50] | 0.00 [1.13] | 0.96 | 0.98 [0.98] | −2.08 [−2.08] |
| 9 (decay) | 180 | 50 | 60 | 3000 | 2.02 | 2.01 [1.97] | 0.50 [2.48] | 0.68 | 0.69 [0.67] | −1.47 [1.47] |
| 10 (peak heating) | 180 | 0.5 | 600 | 300 | 2.87 | 2.87 [2.87] | 0.00 [0.00] | 0.071 | 0.071 [0.071] | 0.00 [0.00] |
| 10 (peak density) | 180 | 0.5 | 600 | 900 | 2.22 | 2.22 [2.21] | 0.00 [0.45] | 0.19 | 0.19 [0.19] | 0.00 [0.00] |
| 10 (decay) | 180 | 0.5 | 600 | 3500 | 1.18 | 1.18 [1.17] | 0.00 [0.85] | 0.14 | 0.14 [0.14] | 0.00 [0.00] |
| 11 (peak heating) | 180 | 5 | 600 | 300 | 6.42 | 6.40 [6.38] | 0.31 [0.62] | 0.15 | 0.15 [0.15] | 0.00 [0.00] |
| 11 (peak density) | 180 | 5 | 600 | 1350 | 3.33 | 3.33 [3.31] | 0.00 [0.60] | 0.82 | 0.83 [0.83] | −1.22 [−1.22] |
| 11 (decay) | 180 | 5 | 600 | 4000 | 1.37 | 1.37 [1.35] | 0.00 [1.46] | 0.51 | 0.52 [0.51] | −1.96 [0.00] |
| 12 (peak heating) | 180 | 50 | 600 | 300 | 13.59 | 13.56 [13.51] | 0.52 [0.59] | 0.94 | 0.96 [0.95] | −2.13 [−1.06] |
| 12 (peak density) | 180 | 50 | 600 | 1500 | 5.69 | 5.71 [5.67] | −0.35 [0.35] | 4.00 | 4.09 [4.08] | −2.25 [−2.00] |
| 12 (decay) | 180 | 50 | 600 | 4000 | 2.01 | 2.01 [1.98] | 0.00 [1.49] | 2.07 | 2.11 [2.07] | −1.93 [0.00] |
Notes.
From left to right the columns show the case number and stage of evolution, the total length of the loop, the maximum heating rate, the duration of the heating pulse, the sample time, the coronal averaged temperature and density attained by the properly resolved SH solution obtained with 61 m grid cells (RL = 14) and the TRAC simulation computed with 31.25 km grid cells (RL = 5) at the sample time and their respective normalised differences. We note that the corresponding results when the TRAC simulations are computed with 125 km grid cells (RL = 3) are shown in square brackets.
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