Skip to main content
Log in

Application of variable-fidelity models to aerodynamic optimization

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

Abstract

For aerodynamic shape optimization, the approximation management framework (AMF) method is used to organize and manage the variable-fidelity models. The method can take full advantage of the low-fidelity, cheaper models to concentrate the main workload on the low-fidelity models in optimization iterative procedure. Furthermore, it can take high-fidelity, more expensive models to monitor the procedure to make the method globally convergent to a solution of high-fidelity problem. Finally, zero order variable-fidelity aerodynamic optimization management framework and search algorithm are demonstrated on an airfoil optimization of UAV with a flying wing. Compared to the original shape, the aerodynamic performance of the optimal shape is improved. The results show the method has good feasibility and applicability.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Alexandrov N M, Lewis R M, Gumbert C R, Green L L, Newman P A. Optimization with variable-fidelity models applied to wing design[C]. AIAA Paper 2000-0841. 38th Aerospace Sciences Meeting and Exhibit, Reno, NV, 2000.

  2. Shi Guangyan, Dong Jiali. Optimization Method[M]. Higher Education Press, Beijing, 2000 (in Chinese).

    Google Scholar 

  3. Yuan Yaxiang, Sun Wenyu. Optimization Theory and Method[M]. Science Press, Beijing, 1999 (in Chinese).

    Google Scholar 

  4. Alexandrov N M, Dennis J E Jr, Lewis R M, et al. A Trust-region framework for managing the use of approximation models in optimization[J]. Structural Optimization, 1998, 15(1):16–23.

    Article  Google Scholar 

  5. Booker A J, Dennis J E Jr, Frank P D, et al. A rigorous framework for optimization of expensive functions by surrogates[J]. Structural Optimization, 1999, 17(1):1–13.

    Article  Google Scholar 

  6. Chang K J, Haftka R T, Giles G L, et al. Sensitivity-based scaling for approximating structural response[J]. Journal of Aircraft, 1993, 30(2):283–288.

    Google Scholar 

  7. Xia Lu. Aerodynamic and Stealth Synthesis Optimization Design for Aircraft Configuration[D]. Ph D Dissertation, Northwest Polytechnical University, Xi’an, 2004 (in Chinese).

    Google Scholar 

  8. Hicks R, Henne P. Wing design by numerical optimization[J]. Journal of Aircraft, 1978, 15(7):407–413.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Xia Lu Doctor  (夏露).

Additional information

Communicated by DENG Xue-ying

Project supported by the National Natural Science Foundation of China (No.10502043)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Xia, L., Zheng-hong, G. Application of variable-fidelity models to aerodynamic optimization. Appl Math Mech 27, 1089–1095 (2006). https://doi.org/10.1007/s10483-006-0809-z

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10483-006-0809-z

Key words

Chinese Library Classification

2000 Mathematics Subject Classification

Navigation