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Reduced order model of three-dimensional Euler equations using proper orthogonal decomposition basis

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Abstract

This study seeks to validate the accuracy and the efficiency of the aerodynamic reduced order model (ROM). In doing this, snapshot data are generated from the full system analysis of a fighter wing problem. From an eigensystem analysis of these snapshots, the basis vector reproducing the behavior of the full system is obtained. The span length, sweep angle, dihedral angle, and spar and rib thickness representing the wing configuration are determined as the input variables. The constructed ROM is applied to the fighter wing problem while varying the input conditions for validation. Subsequently, a comparison of the reduced system with the full system confirmed that the aerodynamic performance is within 4% error and that the L2 norms are 10−6 order of the entire flow field. Therefore, the ROM is able to capture the variation of the aerodynamic performance with respect to the input variables. Though there are structural input variables which influence the aerodynamic performance indirectly, the ROM can reproduce the flow field of the full system. Additionally, even if the ROM incurs a high computational cost to generate snapshots, it can represent the behavior of the full system efficiently once the reduced order model is constructed.

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Authors and Affiliations

  1. School of Mechanical and Aerospace Engineering, Seoul National University, Seoul, 151-742, Korea

    Sangook Jun, Kyung-Hyun Park, Hyung-Min Kang & Maenghyo Cho

  2. School of Mechanical and Aerospace Engineering/Institute of Advanced Aerospace Technology, Seoul National University, Seoul, 151-742, Korea

    Dong-Ho Lee

Authors
  1. Sangook Jun
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  2. Kyung-Hyun Park
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  3. Hyung-Min Kang
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  4. Dong-Ho Lee
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  5. Maenghyo Cho
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Corresponding author

Correspondence to Dong-Ho Lee.

Additional information

This paper was recommended for publication in revised form by Associate Editor Do Hyung Lee

Sangook Jun is a Ph.D candidate, in the integrated MA/Ph.D Course at Seoul National University. His B.S degree is from Seoul National University. The research topic of interest is a robust design optimization and a reduced order model.

Dongho Lee is a professor at Seoul National University. A member of The National Academy of Engineering of Korea, he is also the director of Institute of Advanced Aerospace Technology, Seoul National University. He is interested in Computational Fluid Dynamics, wind tunnel test and Multidisciplinary Design Optimization for large and complex systems (e.g. aircraft, helicopter, high speed train, compressor and wind turbine).

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Jun, S., Park, KH., Kang, HM. et al. Reduced order model of three-dimensional Euler equations using proper orthogonal decomposition basis. J Mech Sci Technol 24, 601–608 (2010). https://doi.org/10.1007/s12206-010-0106-0

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  • DOI: https://doi.org/10.1007/s12206-010-0106-0

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