AN APPROXIMATE DESCRIPTION OF DISCONTINUITY BREAKUP IN FLOW CALCULATIONS WITH THE GODUNOV SCHEME

U. N. Derugin, I. P. Кasакоva, M. M. Prоshin, B. P. Tikhomirov
VANT. Ser. Mat. Mod. Fiz. Proc 1991. Вып.2. С. 79-81.

      A widely used discontinuity breakup model is considered based on replacing rarefaction waves by rarefaction "jumps" assuming that left and right quantities differ only slightly. Numerical results of shock-initiated nozzle and detonation ware propagation from a closed tube and calculations with the Godunov scheme are analyzed. For this type of problems, an approximate discontinuity breakup model is shown to give errors in the numerical solution and to distort the results. The calculations indicate that more accurate models must be used in the Godunov scheme.