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Accurate simulation of turbulent flow with separation is an important but challenging problem. In this paper, a data-driven Reynolds-averaged turbulence modeling approach, field inversion and machine learning is implemented to modify the…

Fluid Dynamics · Physics 2022-06-02 Chongyang Yan , Haoran Li , Yufei Zhang , Haixin Chen

Autoencoders gained popularity in the deep learning revolution given their ability to compress data and provide dimensionality reduction. Although prominent deep learning methods have been used to enhance autoencoders, the need to provide…

Machine Learning · Computer Science 2022-04-29 Rohitash Chandra , Mahir Jain , Manavendra Maharana , Pavel N. Krivitsky

Data-driven correction of turbulence models offers a promising route for improving Reynolds-averaged Navier-Stokes (RANS) predictions, but quantifying uncertainty in such corrections and ensuring generalization across flows remain key…

Fluid Dynamics · Physics 2026-04-28 Tyler Buchanan , Ali Eidi , Richard P. Dwight

We propose a novel framework for joint magnetic resonance image reconstruction and uncertainty quantification using under-sampled k-space measurements. The problem is formulated as a Bayesian linear inverse problem, where prior…

Image and Video Processing · Electrical Eng. & Systems 2026-03-17 Ahmed Karam Eldaly , Matteo Figini , Daniel C. Alexander

A significant challenge in the development of control systems for diesel airpath applications is to tune the controller parameters to achieve satisfactory output performance, especially whilst adhering to input and safety constraints in the…

Systems and Control · Computer Science 2019-05-16 Gokul S. Sankar , Rohan C. Shekhar , Chris Manzie , Takeshi Sano , Hayato Nakada

Recent works have presented promising results from the application of machine learning (ML) to the modeling of flow rates in oil and gas wells. Encouraging results and advantageous properties of ML models, such as computationally cheap…

Machine Learning · Computer Science 2022-01-10 Bjarne Grimstad , Mathilde Hotvedt , Anders T. Sandnes , Odd Kolbjørnsen , Lars S. Imsland

Quantifying the uncertainty in model parameters and output is a critical component in model-driven decision support systems for groundwater management. This paper presents a novel algorithmic approach which fuses Markov Chain Monte Carlo…

Computation · Statistics 2021-05-26 Mikkel B. Lykkegaard , Tim J. Dodwell , David Moxey

There is wide agreement that the accuracy of turbulence models suffer from their sensitivity with respect to physical input data, the uncertainties of user-elected parameters, as well as the model inadequacy. However, the application of…

Numerical Analysis · Mathematics 2015-08-07 Hoang A. Tran , Clayton G. Webster , Guannan Zhang

The recent increase in data availability and reliability has led to a surge in the development of learning-based model predictive control (MPC) frameworks for robot systems. Despite attaining substantial performance improvements over their…

Robotics · Computer Science 2023-08-02 Kong Yao Chee , Thales C. Silva , M. Ani Hsieh , George J. Pappas

Groundwater flow modeling is commonly used to calculate groundwater heads, estimate groundwater flow paths and travel times, and provide insights into solute transport processes within an aquifer. However, the values of input parameters…

Computational Engineering, Finance, and Science · Computer Science 2023-03-15 Emily A. Baker , Sauro Manenti , Alessandro Reali , Giancarlo Sangalli , Lorenzo Tamellini , Sara Todeschini

Estimating the predictive uncertainty of a Bayesian learning model is critical in various decision-making problems, e.g., reinforcement learning, detecting adversarial attack, self-driving car. As the model posterior is almost always…

Machine Learning · Computer Science 2021-02-16 Yufei Cui , Wuguannan Yao , Qiao Li , Antoni B. Chan , Chun Jason Xue

It is well known that the Boussinesq turbulent viscosity hypothesis can yield inaccurate predictions when complex f low features are involved, e.g. laminar-turbulent transition. The focus of the study is to explore the capability of a…

Fluid Dynamics · Physics 2022-08-01 Minghan Chu , Xiaohua Wu , David E. Rival

Almost all fields of science rely upon statistical inference to estimate unknown parameters in theoretical and computational models. While the performance of modern computer hardware continues to grow, the computational requirements for the…

Computation · Statistics 2022-10-25 David J. Warne , Ruth E. Baker , Matthew J. Simpson

In computational fluid dynamics simulations of industrial flows, models based on the Reynolds-averaged Navier--Stokes (RANS) equations are expected to play an important role in decades to come. However, model uncertainties are still a major…

Fluid Dynamics · Physics 2018-10-01 Heng Xiao , Paola Cinnella

Finite element model updating is challenging because 1) the problem is oftentimes underdetermined while the measurements are limited and/or incomplete; 2) many combinations of parameters may yield responses that are similar with respect to…

Applications · Statistics 2021-07-28 Kai Zhou , Jiong Tang

We use approximate Bayesian computation (ABC) combined with an "improved" Markov chain Monte Carlo (IMCMC) method to estimate posterior distributions of model parameters in subgrid-scale (SGS) closures for large eddy simulations (LES) of…

Fluid Dynamics · Physics 2020-05-29 Olga A. Doronina , Colin A. Z. Towery , Peter E. Hamlington

This proposed work introduces a data-assimilation-assisted approach to train neural networks, aimed at effectively reducing epistemic uncertainty in state estimates of separated flows. This method, referred to as model-consistent training,…

Fluid Dynamics · Physics 2024-08-02 Minghan Chu

This paper presents a sensitivity-based tube Nonlinear Model Predictive Control (NMPC) framework for cooperative aerial chains under bounded parametric uncertainty. We consider a planar two-vehicle chain connected by rigid links, modeled…

Robotics · Computer Science 2026-05-04 Giuseppe Silano , Quentin Sablé , Marco Tognon , Luigi Iannelli , Antonio Franchi

Aerodynamic optimization is ubiquitous in the design of most engineering systems interacting with fluids. A common approach is to optimize a performance function defined by a choice of an aerodynamic model, e.g., turbulence RANS model, and…

Optimization and Control · Mathematics 2021-05-04 Lluís Jofre , Alireza Doostan

Despite great successes, model predictive control (MPC) relies on an accurate dynamical model and requires high onboard computational power, impeding its wider adoption in engineering systems, especially for nonlinear real-time systems with…

Systems and Control · Electrical Eng. & Systems 2023-07-03 Amin Vahidi-Moghaddam , Kaian Chen , Kaixiang Zhang , Zhaojian Li , Yan Wang , Kai Wu
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