Bulletin of the American Physical Society
76th Annual Meeting of the Division of Fluid Dynamics
Sunday–Tuesday, November 19–21, 2023; Washington, DC
Session J16: CFD: Uncertainty Quantification, RANS Modeling
4:35 PM–6:32 PM,
Sunday, November 19, 2023
Room: 145A
Chair: Robert Kunz, Penn State
Abstract: J16.00002 : Low-Rank Approximation with Time-Dependent Bases for Uncertainty Quantification Turbulent Reactive Flows
4:48 PM–5:01 PM
Presenter:
Saeed Akbari
(University of Pittsburgh)
Authors:
Saeed Akbari
(University of Pittsburgh)
Mohammad Hossein Naderi
(University of Pittsburgh)
Hessam Babaee
(University of Pittsburgh)
This study addresses the challenge of uncertainty quantification in such reactive flows, focusing on perturbing 34 kinetic coefficients. The dimensionality of the problem is substantial, calculated as the product of the number of grid points (19076), species (11), and random samples (10000), resulting in a total of roughly 2*109. Traditional uncertainty quantification methods struggle to handle such high-dimensional problems efficiently.
To overcome this challenge, we propose a novel approach that combines using low-rank approximation with time-dependent bases to significantly reduce the computational cost of solving this problem. By integrating these techniques, we aim to address the computational infeasibility associated with traditional Monte Carlo simulations.
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