Table 1: For each run, we provide the final steady-state of each shock (J, CJ, C) followed by the time scale in years at which steadiness is achieved. The total width of the shock at this point (in pc) is given in parentheses (in the case of CJ-type shocks, J is the length of the relaxation layer, and C is the length of the magnetic precursor). $\rm C >700$ indicates that a J-front is still present when the code stalls at t=700 yr. A and o are the average duration of one large arch or one small oscillation, when present. The associated length scales correspond to the typical amplitude of these oscillations. A' stands for a lone arch. o' stands for damped small oscillations.
b=0 n = 103 cm-3 n = 104 cm-3 n = 105 cm-3
 u  t (yr) Size (pc) t (yr) Size (pc) t (yr) Size (pc)
10 km s-1 J =104 (10-4) J $=2\times 10^3$ ( $2.5\times 10^{-5}$) J $=2\times 10^2$ ( $6\times 10^{-6}$)
20 km s-1 J =104 ( $5\times 10^{-5}$) J $=2\times 10^3$ (10-5) J $=2\times 10^2$ ( $4\times 10^{-6}$)
25 km s-1     J $=5\times 10^{2}$ ( $1.5\times 10^{-5}$) Bouncing  
          A =150 ( $2.2\times 10^{-4}$)
30 km s-1 J =104 ( $4\times 10^{-5}$) Bouncing   Oscillating  
      A =700 ( $8\times 10^{-4}$)    
      o =100 ( $5\times 10^{-5}$) o =40 ( $5\times 10^{-5}$)
40 km s-1 Oscillating   J $=2\times 10^2$ ( $2.5\times 10^{-4}$) J =40 ( $2\times 10^{-5}$)
  o =650 ( $4\times 10^{-4}$) o' =40 ( $3\times 10^{-5}$) o' =2.5 ( $2\times 10^{-6}$)

b=0.1

 n = 103 cm-3 n = 104 cm-3 n = 105 cm-3
 u  t (yr) Size (pc) t (yr) Size (pc) t (yr) Size (pc)
10 km s-1 C =105 ( $2\times 10^{-2}$) C =104 ( $3\times 10^{-3}$) C $=1.5\times 10^3$ ( $4\times 10^{-4}$)
20 km s-1 C =105 ( $2\times 10^{-2}$) C =104 ( $3\times 10^{-3}$) C $=1.5\times 10^3$ ( $4\times 10^{-4}$)
30 km s-1 C =105 ( $2\times 10^{-2}$) C >700   CJ =102 (C $=2\times 10^{-5}$)
      A' =700 ( $8\times 10^{-4}$)   (J $=3\times 10^{-4}$)
      o' =150 ( $5\times 10^{-5}$) o =20 (10-5)
40 km s-1 CJ $=5\times 10^3$ (C $=6\times 10^{-5}$) CJ =250 (C =10-5) CJ =40 (C =10-4)
    (J $=5\times 10^{-3}$)   (J =10-3)   (J =10-4)
  o =500 ( $3\times 10^{-4}$) o =25 ( $3\times 10^{-5}$) o =3 ( $3\times 10^{-6}$)
b=1 n = 103 cm-3 n = 104 cm-3 n = 105 cm-3
 u  t (yr) Size (pc) t (yr) Size (pc) t (yr) Size (pc)
10 km s-1 C =105 ( $2\times 10^{-1}$) C $=1.3\times 10^4$ ( $4\times 10^{-2}$) C $=1.5\times 10^3$ ( $6\times 10^{-3}$)
20 km s-1 C =105 ( $2\times 10^{-1}$) C $=1.3\times 10^4$ ( $4\times 10^{-2}$) C $=1.5\times 10^3$ ( $5\times 10^{-3}$)
30 km s-1 C =105 ( $2\times 10^{-1}$) C =104 ( $3\times 10^{-2}$) C $=1.5\times 10^3$ ( $4\times 10^{-3}$)
      A' =1000 (10-3) A' =500 ( $4\times 10^{-4}$)
      o' =150 ( $5\times 10^{-5}$) o' =15 ( $1\times 10^{-6}$)
40 km s-1 C $=4\times 10^4$ (10-1) CJ =103 (C $=6\times 10^{-3}$) CJ $=2\times 10^2$ (C =10-3)
  A' =4000 ( $3\times 10^{-3}$)   (J $=5\times 10^{-2}$)   (J =10-2)
  o' =600 (10-4) o' =25 ( $3\times 10^{-5}$) o' =2.5 (10-6)


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