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