“…The shock waves #u and #d originate from the boundaries of the heated column caused by the discharge, and they propagate upstream and downstream of the heated column, respectively. It can be observed that the shock waves #u and #d, and the heated column, which contain the causes 2,13,14) of the discharge instability, such as residual ions and gas density depletion, are eliminated downstream by the supersonic flow. The origins of shock waves #u and #d at t ¼ 0 are estimated to be at x u $ À2 mm and x d $ 4 mm, respectively, and the initial width of the heated column is $6 mm.…”