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Main Authors: Chu, Minghan, Qian, Weicheng
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2405.08148
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author Chu, Minghan
Qian, Weicheng
author_facet Chu, Minghan
Qian, Weicheng
contents Simulations of complex turbulent flow are part and parcel of the engineering design process. Eddy viscosity based turbulence models represent the workhorse for these simulations. The underlying simplifications in eddy viscosity models make them computationally inexpensive but also introduce structural uncertainties in their predictions. Currently the Eigenspace Perturbation Method is the only approach to predict these uncertainties. Due to its purely physics based nature this method often leads to unrealistically large uncertainty bounds that lead to exceedingly conservative designs. We use a Deep Learning based approach to address this issue. We control the perturbations using trained deep learning models that predict how much to perturb the modeled Reynolds stresses. This is executed using a Convolutional Neural Network that learns the difference between eddy viscosity based model predictions and high fidelity data as a mapping of flow features. We show that this approach leads to improvements over the Eigenspace Perturbation Method.
format Preprint
id arxiv_https___arxiv_org_abs_2405_08148
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A Deep Learning Approach For Epistemic Uncertainty Quantification Of Turbulent Flow Simulations
Chu, Minghan
Qian, Weicheng
Fluid Dynamics
Simulations of complex turbulent flow are part and parcel of the engineering design process. Eddy viscosity based turbulence models represent the workhorse for these simulations. The underlying simplifications in eddy viscosity models make them computationally inexpensive but also introduce structural uncertainties in their predictions. Currently the Eigenspace Perturbation Method is the only approach to predict these uncertainties. Due to its purely physics based nature this method often leads to unrealistically large uncertainty bounds that lead to exceedingly conservative designs. We use a Deep Learning based approach to address this issue. We control the perturbations using trained deep learning models that predict how much to perturb the modeled Reynolds stresses. This is executed using a Convolutional Neural Network that learns the difference between eddy viscosity based model predictions and high fidelity data as a mapping of flow features. We show that this approach leads to improvements over the Eigenspace Perturbation Method.
title A Deep Learning Approach For Epistemic Uncertainty Quantification Of Turbulent Flow Simulations
topic Fluid Dynamics
url https://arxiv.org/abs/2405.08148