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Numerical computation of flow field with deflagration and detonation. (English) Zbl 0583.76071

In this paper the singularity-separating method (S.S.M.) is used to compute the whole flow fields with transition to detonation. The comparison between the results of the random choice method and our method is presented. Because there are many complicated interactions between different discontinuity lines, such a combustion problem is a good choice for testing numerical methods. The solution obtained by S. S. M. has the second order accuracy not only in the smooth regions but also in the regions near the discontinuity lines.

MSC:

76L05 Shock waves and blast waves in fluid mechanics
80A25 Combustion
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