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In this paper, we develop a machine learning-based Bayesian approach to inversely quantify and reduce the uncertainties of the two-fluid model-based multiphase computational fluid dynamics (MCFD) for bubbly flow simulations. The proposed…

流体动力学 · 物理学 2020-10-22 Yang Liu , Dewei Wang , Xiaodong Sun , Yang Liu , Nam Dinh , Rui Hu

Efficiently performing predictive studies of irradiated particle-laden turbulent flows has the potential of providing significant contributions towards better understanding and optimizing, for example, concentrated solar power systems. As…

We propose a multi-fidelity neural network surrogate sampling method for the uncertainty quantification of physical/biological systems described by ordinary or partial differential equations. We first generate a set of low/high-fidelity…

数值分析 · 数学 2020-05-07 Mohammad Motamed

This work suggests several methods of uncertainty treatment in multiscale modelling and describes their application to a system of coupled turbulent transport simulations of a tokamak plasma. We propose a method to quantify the usually…

等离子体物理 · 物理学 2023-07-10 Yehor Yudin , David Coster , Udo von Toussaint , Frank Jenko

The construction of efficient methods for uncertainty quantification in kinetic equations represents a challenge due to the high dimensionality of the models: often the computational costs involved become prohibitive. On the other hand,…

数值分析 · 数学 2021-12-03 Giacomo Dimarco , Liu Liu , Lorenzo Pareschi , Xueyu Zhu

Uncertainty quantification during atmospheric chemistry modeling is computationally expensive as it typically requires a large number of simulations using complex models. As large-scale modeling is typically performed with simplified…

计算物理 · 物理学 2024-07-16 Lin Guo , Xiaokai Yang , Zhonghua Zheng , Nicole Riemer , Christopher W. Tessum

Computational fluid dynamics (CFD) simulations, a critical tool in various engineering applications, often require significant time and compute power to predict flow properties. The high computational cost associated with CFD simulations…

机器学习 · 计算机科学 2022-05-18 Tongtao Zhang , Biswadip Dey , Krishna Veeraraghavan , Harshad Kulkarni , Amit Chakraborty

We present a method to quantify uncertainty in the predictions made by simulations of mathematical models that can be applied to a broad class of stochastic, discrete, and differential equation models. Quantifying uncertainty is crucial for…

机器学习 · 统计学 2015-03-05 Kyle S. Hickmann , James M. Hyman , Sara Y. Del Valle

Limiting the injection rate to restrict the pressure below a threshold at a critical location can be an important goal of simulations that model the subsurface pressure between injection and extraction wells. The pressure is approximated by…

Uncertainty quantification (UQ) of subsurface two-phase flow usually requires numerous executions of forward simulations under varying conditions. In this work, a novel coupled theory-guided neural network (TgNN) based surrogate model is…

流体动力学 · 物理学 2023-09-08 Jian Li , Dongxiao Zhang , Tianhao He , Qiang Zheng

Understanding the flow behavior of complex concentrated slurries is of tremendous importance for industrial waste management. In this study, the transport of three-phase oil sands tailings in a horizontal pipeline is simulated via the…

流体动力学 · 物理学 2025-07-17 Mohsen Sadeghi , Somasekhara Goud Sontti , Enzu Zheng , Xuehua Zhang

There is a high interest in accelerating multiscale models using data-driven surrogate modeling techniques. Creating a large training dataset encompassing all relevant load scenarios is essential for a good surrogate, yet the computational…

数值分析 · 数学 2025-04-24 J. Storm , W. Sun , I. B. C. M. Rocha , F. P. van der Meer

The requirement for identifying accurate system representations has not only been a challenge to fulfill, but it has compromised the scalability of formal methods, as the resulting models are often too complex for effective decision making…

系统与控制 · 电气工程与系统科学 2025-10-20 Oliver Schön , Sofie Haesaert , Sadegh Soudjani

High-fidelity computational fluid dynamics (CFD) simulations are widely used to analyze nuclear reactor transients, but are computationally expensive when exploring large parameter spaces. Multifidelity surrogate models offer an approach to…

机器学习 · 计算机科学 2026-03-17 Meredith Eaheart , Majdi I. Radaideh

Because of the complexity of fluid flow solvers, non-intrusive uncertainty quantification techniques have been developed in aerodynamic simulations in order to compute the quantities of interest required in an optimization process, for…

计算物理 · 物理学 2018-03-02 Éric Savin , Béatrice Faverjon

This paper presents a novel dynamic model for slug flow crystallizers that addresses the challenges of spatial distribution without backmixing or diffusion, potentially enabling advanced model-based control. The developed model can…

系统与控制 · 电气工程与系统科学 2025-10-21 Collin R. Johnson , Stijn de Vries , Kerstin Wohlgemuth , Sergio Lucia

The paper addresses Bayesian inferences in inverse problems with uncertainty quantification involving a computationally expensive forward map associated with solving a partial differential equations. To mitigate the computational cost, the…

统计方法学 · 统计学 2023-12-18 A. Galaviz , J. A. Christen , A. Capella

A surrogate model approximates a computationally expensive solver. Polynomial Chaos is a method to construct surrogate models by summing combinations of carefully chosen polynomials. The polynomials are chosen to respect the probability…

Surrogate models are statistical or conceptual approximations for more complex simulation models. In this context, it is crucial to propagate the uncertainty induced by limited simulation budget and surrogate approximation error to…

机器学习 · 统计学 2026-01-27 Philipp Reiser , Javier Enrique Aguilar , Anneli Guthke , Paul-Christian Bürkner

A framework is developed based on different uncertainty quantification (UQ) techniques in order to assess validation and verification (V&V) metrics in computational physics problems, in general, and computational fluid dynamics (CFD), in…

计算物理 · 物理学 2020-07-15 Saleh Rezaeiravesh , Ricardo Vinuesa , Philipp Schlatter