Abstract
The results of numerical simulation of supersonic flows around hyperelliptic cones with different cross-sections are presented. For solving the problem within the inviscid gas model, the finite volume method based on an integral approximation of the Euler equations is used. The steady-state solution is found using the saturation method. The flow pattern is studied and it is shown that bodies with integral geometric characteristics (midsection area, volume, etc.) similar to those of the elliptic cone but with a more uniform flowfield over most of the lower surface can be constructed.
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Volkov, V.F., Mazhul, I.I. Numerical Investigation of Supersonic Flows Around Hyperelliptic Cones. Fluid Dynamics 36, 803–811 (2001). https://doi.org/10.1023/A:1013081104255
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DOI: https://doi.org/10.1023/A:1013081104255