Separable shape tensors for aerodynamic design

Grey, Zachary J.; Doronina, Olga A.; Glaws, Andrew

doi:10.1093/jcde/qwac140

Separable shape tensors for aerodynamic design

Journal Article · Tue Jan 31 00:00:00 EST 2023 · Journal of Computational Design and Engineering (Online)

DOI:https://doi.org/10.1093/jcde/qwac140· OSTI ID:1973670

^[1]; Doronina, Olga A. ^[2]; Glaws, Andrew ^[2]

National Inst. of Standards and Technology (NIST), Boulder, CO (United States)
National Renewable Energy Lab. (NREL), Golden, CO (United States)

Airfoil shape design is a classical problem in engineering and manufacturing. In this work, we combine principled physics-based considerations for the shape design problem with modern computational techniques using a data-driven approach. Modern and traditional analyses of two-dimensional (2D) and three-dimensional (3D) aerodynamic shapes reveal a flow-based sensitivity to specific deformations that can be represented generally by affine transformations (rotation, scaling, shearing, and translation). We present a novel representation of shapes that decouples affine-style deformations over a submanifold and a product submanifold principally of the Grassmannian. As an analytic generative model, the separable representation, informed by a database of physically relevant airfoils, offers: (i) a rich set of novel 2D airfoil deformations not previously captured in the data, (ii) an improved low-dimensional parameter domain for inferential statistics informing design/manufacturing, and (iii) consistent 3D blade representation and perturbation over a sequence of nominal 2D shapes.

View Accepted Manuscript (DOE)

Research Organization:: National Renewable Energy Laboratory (NREL), Golden, CO (United States)

Sponsoring Organization:: USDOE Advanced Research Projects Agency - Energy (ARPA-E); USDOE Office of Energy Efficiency and Renewable Energy (EERE)

Grant/Contract Number:: AC36-08GO28308

OSTI ID:: 1973670

Report Number(s):: NREL/JA-2C00-82759; MainId:83532; UUID:ae754db2-8845-41c8-893e-d91d16f6a647; MainAdminID:68139

Journal Information:: Journal of Computational Design and Engineering (Online), Journal Name: Journal of Computational Design and Engineering (Online) Journal Issue: 1 Vol. 10; ISSN 2288-5048

Publisher:: Oxford University PressCopyright Statement

Country of Publication:: United States

Language:: English

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