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Optimized Ristorcelli’s Compressibility Correction to the \(k-\upomega \) SST Turbulence Model for Base Flow Analysis

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Abstract

Compressibility correction methods to two-equation turbulence models have been used widely to account for the compressibility effects in turbulent high-speed flows. The present study aims at improving the accuracy of base pressure/drag predictions with the two-equation turbulence models. To this end, a simplified Ristorcelli’s compressibility correction is selected to perform computational analysis for base flows in conjunction with the \(k-\omega \) SST turbulence model. The source terms arise in the \(\omega \) equation when Ristorcelli’s correction model is applied to the \(k-\omega \) turbulence model. Further improvement is sought by applying Bayesian optimization to determine a user-defined parameter in Ristorcelli’s correction model. Numerical analyses have been conducted for flows past axisymmetric bases and projectiles, and the validity of the optimized correction model is examined. The solutions with and without the optimized correction are presented and compared with the results of the standard \(k-\omega \) SST turbulence model and the experimental data.

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The computational data presented in this paper are available upon request. The request should be directed to the corresponding author.

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Acknowledgements

This work was supported by Inha University and Data-driven Flow Modeling Research Laboratory funded by Defense Acquisition Program Administration under Grant UD230015SD.

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  1. Inha University, Incheon, Republic of Korea

    Donguk Kim, Jaehyoung Park, Jin Seok Park & Seungsoo Lee

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  1. Donguk Kim
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Correspondence to Seungsoo Lee.

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Kim, D., Park, J., Park, J.S. et al. Optimized Ristorcelli’s Compressibility Correction to the \(k-\upomega \) SST Turbulence Model for Base Flow Analysis. Int. J. Aeronaut. Space Sci. 24, 1147–1159 (2023). https://doi.org/10.1007/s42405-023-00599-z

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