Abstract
In order to use the second-order 5-point difference scheme mentioned to compute the solution of one dimension unsteady equations of the direct reflection of the strong plane detonation wave meeting a solid wall barrier, in this paper, we technically construct the difference schemes of the boundary and sub-boundary of the problem, and deduce the auto-analogue analytic solutions of the initial value problem, and at the same time, we present a method for the singular property of the initial value problem, from which we can get a satisfactory computation result of this difficult problem.
The difference scheme used in this paper to deal with the discontinuity problems of the shock wave are valuable and worth generalization.
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References
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Communicated by Pan Li-zhou
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Shao-jun, C. Harten solution for one-dimensional unsteady equation. Appl Math Mech 14, 545–554 (1993). https://doi.org/10.1007/BF02451363
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DOI: https://doi.org/10.1007/BF02451363