TY - JOUR
T1 - Transverse ionizing MHD detonation waves. Part 2. Numerical simulation
AU - Friedland, Allan B.
AU - Frankenthal, Shimshon
N1 - Funding Information:
This work was supported by the Ballistics Research Laboratory of the Department of the Army, Aberdeen Proving Grounds, under contract DAAD05-70-C-0145 with American Science and Engineering Inc., Cambridge, Massachusetts. The authors wish to thank Professor S. A. Abarbanel and Mr Robert Jameson for many helpful discussions.
PY - 1973/8
Y1 - 1973/8
N2 - A numerical method for simulating the temporal evolution of an ionizing MHD detonation, is presented, together with flow profiles for various combinations of imposed magnetic field and ionization temperature in the limit of large downstream conductivity. The propagation speeds asymptotically approach the values predicted by the jump relations and the MHD Chapman–Jouguet condition. The downstream flow approaches a self-similar solution. The wave evolution is discussed for situations where the Chapman–Jouguet and jump relations admit either no solution or multiple solutions.
AB - A numerical method for simulating the temporal evolution of an ionizing MHD detonation, is presented, together with flow profiles for various combinations of imposed magnetic field and ionization temperature in the limit of large downstream conductivity. The propagation speeds asymptotically approach the values predicted by the jump relations and the MHD Chapman–Jouguet condition. The downstream flow approaches a self-similar solution. The wave evolution is discussed for situations where the Chapman–Jouguet and jump relations admit either no solution or multiple solutions.
UR - http://www.scopus.com/inward/record.url?scp=84971968027&partnerID=8YFLogxK
U2 - 10.1017/S0022377800007674
DO - 10.1017/S0022377800007674
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AN - SCOPUS:84971968027
SN - 0022-3778
VL - 10
SP - 89
EP - 106
JO - Journal of Plasma Physics
JF - Journal of Plasma Physics
IS - 1
ER -