Bulletin of the American Physical Society
76th Annual Meeting of the Division of Fluid Dynamics
Sunday–Tuesday, November 19–21, 2023; Washington, DC
Session X16: Supersonic and Hypersonic I
8:00 AM–10:36 AM,
Tuesday, November 21, 2023
Room: 145A
Chair: Mario Di Renzo, University of Salento
Abstract: X16.00012 : Non-intrusive reduced-order modelling of coupled fluid-material physics at ablating interfaces*
10:23 AM–10:36 AM
Presenter:
Alberto Padovan
(University of Illinois at Urbana-Champaign)
Authors:
Alberto Padovan
(University of Illinois at Urbana-Champaign)
Blaine Vollmer
(UIUC)
Daniel J Bodony
(University of Illinois at Urbana-Champaign)
We develop reduced-order models for the fluid dynamics using a novel, non-intrusive paradigm. Inspired by the form of projection-based reduced-order models, we seek reduced-order tensors as well as bases for the test and trial subspaces by minimizing the error between ground-truth observations and the predictions provided by the reduced-order model. The domain of the optimization problem is a product manifold of several Euclidean spaces (as many as the number of tensors we wish to fit) with a Grassmann manifold and a Stiefel manifold. The optimization can be performed non-intrusively in the sense that the gradient of the cost function with respect to the parameters does not require quering the full-order fluid dynamics solver. The resulting models are demonstrated on the Mach-2 flow over an ablating wedge.
*This material is based upon work supported by the National Science Foundation under Grant No. 2139536, issued to the University of Illinois at Urbana-Champaign by the Texas Advanced Computing Center under subaward UTAUS-SUB00000545 with Dr. Daniel Stanzione as the PI.
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