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Using automatic differentiation to create a nonlinear reduced order model of a computational fluid dynamic solver

Publication ,  Conference
Thomas, JP; Dowell, EH; Hall, KC
Published in: Collection of Technical Papers - 11th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference
January 1, 2006

Presented is a technique for developing a nonlinear reduced order model of a computational fluid dynamic solver. The method is based on a Taylor series expansion of a frequency domain harmonic balance computational fluid dynamic solver residual. The computational routines used to compute the matrices and tensors of the Taylor series expansion are created using automatic differentiation. A Ritz type expansion using proper orthogonal decomposition shapes is then used in the Taylor series expansion to create the nonlinear reduced order model. Results are presented and compared to a linear reduced order model for an inviscid transonic airfoil configuration.

Duke Scholars

Published In

Collection of Technical Papers - 11th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference

DOI

Publication Date

January 1, 2006

Volume

4

Start / End Page

2437 / 2449
 

Citation

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Thomas, J. P., Dowell, E. H., & Hall, K. C. (2006). Using automatic differentiation to create a nonlinear reduced order model of a computational fluid dynamic solver. In Collection of Technical Papers - 11th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference (Vol. 4, pp. 2437–2449). https://doi.org/10.2514/6.2006-7115
Thomas, J. P., E. H. Dowell, and K. C. Hall. “Using automatic differentiation to create a nonlinear reduced order model of a computational fluid dynamic solver.” In Collection of Technical Papers - 11th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, 4:2437–49, 2006. https://doi.org/10.2514/6.2006-7115.
Thomas JP, Dowell EH, Hall KC. Using automatic differentiation to create a nonlinear reduced order model of a computational fluid dynamic solver. In: Collection of Technical Papers - 11th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference. 2006. p. 2437–49.
Thomas, J. P., et al. “Using automatic differentiation to create a nonlinear reduced order model of a computational fluid dynamic solver.” Collection of Technical Papers - 11th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, vol. 4, 2006, pp. 2437–49. Scopus, doi:10.2514/6.2006-7115.
Thomas JP, Dowell EH, Hall KC. Using automatic differentiation to create a nonlinear reduced order model of a computational fluid dynamic solver. Collection of Technical Papers - 11th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference. 2006. p. 2437–2449.

Published In

Collection of Technical Papers - 11th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference

DOI

Publication Date

January 1, 2006

Volume

4

Start / End Page

2437 / 2449