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Proper quantification and propagation of uncertainties in computational simulations are of critical importance. This issue is especially challenging for CFD applications. A particular obstacle for uncertainty quantifications in CFD problems…

计算物理 · 物理学 2018-04-10 Jian-xun Wang , Christopher J. Roy , Heng Xiao

Computational models of the human head are promising tools for estimating the impact-induced response of brain, and thus play an important role in the prediction of traumatic brain injury. Modern biofidelic head model simulations are…

Predictive estimation, which comprises model calibration, model prediction, and validation, is a common objective when performing inverse uncertainty quantification (UQ) in diverse scientific applications. These techniques typically require…

数值分析 · 数学 2024-07-17 Ningxin Yang , Truong Le , Lidija Zdravković , David M. Potts

Predicting the behavior of complex systems in engineering often involves significant uncertainty about operating conditions, such as external loads, environmental effects, and manufacturing variability. As a result, uncertainty…

统计计算 · 统计学 2025-07-17 S. Marelli , S. Schär , B. Sudret

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

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

Emulating high-accuracy computationally expensive models is crucial for tasks requiring numerous model evaluations, such as uncertainty quantification and optimization. When lower-fidelity models are available, they can be used to improve…

统计方法学 · 统计学 2024-10-30 Katerina Giannoukou , Stefano Marelli , Bruno Sudret

Uncertainty Quantification (UQ) is receiving more and more attention for engineering applications in particular from robust optimization. Indeed, running a computer experiment only provides a limited knowledge in terms of uncertainty and…

流体动力学 · 物理学 2018-03-19 Pamphile Tupui Roy , Luis Miguel Segui , Jean-Christophe Jouhaud , Laurent Gicquel

Slurry transportation via pipelines is essential for global industries, offering efficiency and environmental benefits. Specifically, the precise calibration of physical parameters for transporting raw phosphate material to fertilizer…

流体动力学 · 物理学 2024-06-13 Marwane Elkarii , Radouan Boukharfane , Nabil El Moçayd

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

Uncertainty quantification (UQ) is the process of systematically determining and characterizing the degree of confidence in computational model predictions. In the context of systems biology, especially with dynamic models, UQ is crucial…

机器学习 · 统计学 2024-10-29 Alberto Portela , Julio R. Banga , Marcos Matabuena

For computational efficiency, surrogate models have been used to emulate mathematical simulators for physical or biological processes. High-speed simulation is crucial for conducting uncertainty quantification (UQ) when the simulation is…

机器学习 · 计算机科学 2022-11-21 Lixiang Zhang , Jia Li

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

Computational Fluid Dynamics (CFD)-driven training combines machine learning (ML) with CFD solvers to develop physically consistent closure models with improved predictive accuracy. In the original framework, each ML-generated candidate…

机器学习 · 计算机科学 2025-12-23 Yuan Fang , Fabian Waschkowski , Maximilian Reissmann , Richard D. Sandberg , Takuo Oda , Koichi Tanimoto

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…

For practical model-based demands, such as design space exploration and uncertainty quantification (UQ), a high-fidelity model that produces accurate outputs often has high computational cost, while a low-fidelity model with less accurate…

数值分析 · 数学 2017-09-13 Jerrad Hampton , Hillary Fairbanks , Akil Narayan , Alireza Doostan

Hemodynamic parameters such as pressure and wall shear stress play an important role in diagnosis, prognosis, and treatment planning in cardiovascular diseases. These parameters can be accurately computed using computational fluid dynamics…

计算机视觉与模式识别 · 计算机科学 2025-08-28 Patryk Rygiel , Julian Suk , Kak Khee Yeung , Christoph Brune , Jelmer M. Wolterink

Standard approaches for uncertainty quantification in cardiovascular modeling pose challenges due to the large number of uncertain inputs and the significant computational cost of realistic three-dimensional simulations. We propose an…

定量方法 · 定量生物学 2020-04-20 Casey M. Fleeter , Gianluca Geraci , Daniele E. Schiavazzi , Andrew M. Kahn , Alison L. Marsden

Data-driven surrogate models offer quick approximations to complex numerical and experimental systems but typically lack uncertainty quantification, limiting their reliability in safety-critical applications. While Bayesian methods provide…

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