Chongguang Shi, Jan Martinez Schramm, Yiqing Li, Ralf Deiterding, Chengxiang Zhu1 and Yancheng You

DOI Number XXX-YYY-ZZZ

Conference Number HiSST-2022-164

Method of curved shock-characteristic is developed based on the curved shock theory and
applied to high-precision filowfield calculation in uniform/nonuniform, external/internal,
planar/axisymmetry flow. The main idea is to solve the first-order gradients of pressure
and flow deflection angle in the streamline-characteristic coordinate. With acquired
derivatives, the aerodynamical parameters of post-shock flowfield can be evaluated.
Compared with the method of characteristic, the iterative process of the method of curved
shock-characteristic is simplified without sacrificing the accuracy by using gradients.
Explicit equations are derived along the streamlines and characteristics. Several postshock flowfields are solved using the method of curved shock-characteristic to validate
the accuracy. The results show that the maximum differences are less than 0.5%. Besides, through gradients, it only takes a small number of mesh nodes for the method
of curved shock-characteristic to calculate the flowfield under the condition that the
accuracy doesn’t decrease. The accuracy and simplicity make the method of curved
shock-characteristic a good candidate for solving planar/axisymmetry flowfields and flow
analysis.

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