CALCULATIONS OF NEWTONIAN AERODYNAMIC COEFFICIENTS OF HYPERSONIC VEHICLEUSING REPRODUCING KERNEL METHOD AND MONTE-CARLO INTEGRATION

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2023 Vol.28, Issue 4 Preview Page Next Page

CALCULATIONS OF NEWTONIAN AERODYNAMIC COEFFICIENTS OF HYPERSONIC VEHICLEUSING REPRODUCING KERNEL METHOD AND MONTE-CARLO INTEGRATION 재생 커널법과 몬테 카를로 적분법을 이용한 극초음속 비행체의 Newtonian 공력 계수 계산: 조민지, 안 미치코*
M.J. Jo and M.A. Furudate*; 충남대학교 메카트로닉스공학과

Dept. of Mechatronics Engineering, Chungnam National Univ.

31 December 2023. pp. 59-66

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Abstract

This study proposes a method to calculate a high-precision approximation of the exact Newtonian aerodynamic coefficients for arbitrary shapes by combining the Reproducing Kernel Hilbert Space (RKHS) method and Monte-Carlo integration. The RKHS method was used to obtain the approximation function of hypersonic vehicle geometry from the structured grid points, and the Newtonian aerodynamic coefficients were calculated using Monte-Carlo integration. The effectiveness of the RKHS method was verified by applying it to simple shapes, and it was confirmed that the structured grid points could be well interpolated with random sampling points. The predicted value of the drag coefficient, obtained using Monte-Carlo integration on the sampling point data of the interpolated basic shapes, was evaluated by comparing it with the analytical solutions. Improvements in prediction accuracy were confirmed when compared with the results from the panel method. As an example application to arbitrary shapes, the present methods were examined for the Apollo command module shape, and it was confirmed that the calculated Newtonian aerodynamic coefficients had good accuracy when compared with the analytical solutions, even when considering flow at different angles of attack.

Keywords

뉴토니안 공력 계수(Newtonian aerodynamic coefficients)

재생 커널법(Reproducing Kernel Method)

몬테카를로 적분법(Monte-Carlo integration)

극초음속 비행체(Hypersonic Vehicle)

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