| Citation: | LIU Chuanzhen, MENG Xufei, BAI Peng. Applicability of inverse method of characteristics[J]. Journal of Aerospace Power, 2024, 39（10）：20220761 doi: 10.13224/j.cnki.jasp.20220761
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The inverse method of characteristics (iMoC) was employed to simulate the axisymmetric flow behind a predefined shock wave. Its applicability was also analyzed. Firstly, two marching schemes in iMoC were compared: by the interaction of the left-running and right-running characteristic lines and the interaction of the left-running characteristic line and stream line. It was found that the scheme of interacting the left-running characteristic line and stream line was simpler and more stable. The applicability of iMoC was then analyzed for the concave and convex shock shape, respectively. It was proved that iMoC can compute the flow behind the concave shock wave based on the oblique shock relations. For the convex shock wave, when the shock wave angle declined too much along the axial coordinate, the clusters of left-running characteristic lines may interact, leading to the failure of marching in iMoC. Furthermore, an expansion flow can be placed to deal with the infeasible segment on the convex shock wave. The computational fluid dynamics techniques were applied to verify this method and analysis result. This study provides a theoretical support to propel the application of iMoC in waverider and inward inlet design.
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