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Table 2

Saturation state of the 2D models.

Dimensions Resolution tsat Nf ⟨ Hp ⟩ ⟨ max(ρp) ⟩ ⟨ Δvp,x ⟩ ⟨ Δvp,z ⟩
(H-1) (P) (H) (ρ0) (cs) (cs)
(1) (2) (3) (4) (5) (6) (7) (8)
τs = 10-2, Z = 0.02
0.2H × 0.2H 640 550 1–2 0.0155(4) 9(2) 0.0028(1) 0.0028(1)
1280 800 1–2 0.0150(4) 7(1) 0.0027(1) 0.0026(1)
2560 400 1 0.0141(3) 28(4) 0.0032(1) 0.0033(2)
5120 450 1 0.0140(2) 26(3) 0.0038(2) 0.0040(2)
0.4H× 0.4H 320 500 1–5 0.0172(5) 5(1) 0.0024(1) 0.0027(2)
640 950 2–3 0.0156(2) 7(1) 0.0022(1) 0.0022(1)
1280 800 3 0.0144(3) 18(4) 0.0023(1) 0.0023(1)
2560 500 3 0.0153(4) 19(2) 0.0029(1) 0.0030(1)
τs = 10-2, Z = 0.04
0.2H× 0.2H 640 350 2 0.0120(2) 79(15) 0.0029(1) 0.0027(1)
1280 500 2 0.0119(2) 176(73) 0.0027(1) 0.0027(1)
2560 950 2 0.0110(1) 114(9) 0.0027(1) 0.0027(1)
0.4H× 0.4H 320 600 5–6 0.0130(2) 21(3) 0.0026(1) 0.0025(1)
640 750 4 0.0113(2) 225(45) 0.0023(1) 0.0021(1)
1280 650 4 0.0110(4) 339(70) 0.0021(1) 0.0020(1)
τs = 10-3, Z = 0.04
0.2H× 0.2H 640 1200 1 0.0159(2) 24(6) 0.0034(1) 0.0033(1)
1280 1200 1 0.0144(1) 156(18) 0.0028(1) 0.0027(1)
2560 1500 1 0.0141(1) 297(35) 0.0023(0) 0.0023(0)
0.4H× 0.4H 320 ... ... 0.0172(1) ... 0.0032(1) 0.0029(1)
640 2000 3–4 0.0159(0) 7(1) 0.0026(1) 0.0024(1)
1280 2200 2 0.0137(0) 266(23) 0.0021(0) 0.0020(0)

Notes. Columns: (1) dimensions of the computational domain in terms of the gas scale height H; (2) resolution in number of cells per H; (3) estimated time to reach saturation in terms of the local orbital period P; (4) number of major axisymmetric solid filaments; (5) time-averaged scale height of the particles in H; (6) time-averaged maximum local particle density in terms of the initial mid-plane gas density ρ0; (7) time-averaged radial velocity dispersion in terms of the isothermal speed of sound cs; (8) time-averaged vertical velocity dispersion in cs. The time averages are taken from t = tsat to the end of the simulation with their standard deviation shown in parentheses.

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