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Turbulent flow has been extensively studied using computational fluid dynamics (CFD) simulations since turbulent flow regime is so frequently encountered in both academic and engineering applications. The high-fidelity simulation of the…

流体动力学 · 物理学 2024-05-21 Minghan Chu

In chemical process engineering, surrogate models of complex systems are often necessary for tasks of domain exploration, sensitivity analysis of the design parameters, and optimization. A suite of computational fluid dynamics (CFD)…

计算工程、金融与科学 · 计算机科学 2020-09-09 Gabriel F. N. Gonçalves , Assen Batchvarov , Yuyi Liu , Yuxin Liu , Lachlan Mason , Indranil Pan , Omar K. Matar

An uncertainty quantification framework is developed for Eulerian-Lagrangian models of particle-laden flows, where the fluid is modeled through a system of partial differential equations in the Eulerian frame and inertial particles are…

计算物理 · 物理学 2018-11-01 Vasileios Fountoulakis , H. S. Udaykumar , Gustaaf B. Jacobs

We introduce a method to construct a stochastic surrogate model from the results of dimensionality reduction in forward uncertainty quantification. The hypothesis is that the high-dimensional input augmented by the output of a computational…

应用统计 · 统计学 2026-02-12 Jungho Kim , Sang-ri Yi , Ziqi Wang

In this work, we present an uncertainty quantification analysis to determine the influence and importance of some physical parameters in a reactive transport model in fractured porous media. An accurate description of flow and transport in…

数值分析 · 数学 2022-07-14 Michele Botti , Alessio Fumagalli , Anna Scotti

The applicability of computational fluid dynamics (CFD) based design tools depend on the accuracy and complexity of the physical models, for example turbulence models, which remains an unsolved problem in physics, and rotor models that…

流体动力学 · 物理学 2023-05-09 Shanti Bhushan , Greg W Burgreen , Joshua L Bowman , Ian D Dettwiller , Wesley Brewer

Hybrid methods for simulating rarefied gas flows reduce computational cost by coupling a particle-based model, typically the direct simulation Monte Carlo (DSMC) method, to a continuum-based solver, i.e. a computational fluid dynamics (CFD)…

流体动力学 · 物理学 2026-04-28 Arshad Kamal , Arun K. Chinnappan , James R. Kermode , Duncan A. Lockerby

High-fidelity models are essential for accurately capturing nonlinear system dynamics. However, simulation of these models is often computationally too expensive and, due to their complexity, they are not directly suitable for analysis,…

系统与控制 · 电气工程与系统科学 2025-09-05 E. Javier Olucha , Rajiv Singh , Amritam Das , Roland Tóth

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…

数值分析 · 数学 2015-08-07 Hoang A. Tran , Clayton G. Webster , Guannan Zhang

Data assimilation is widely used to improve flood forecasting capability, especially through parameter inference requiring statistical information on the uncertain input parameters (upstream discharge, friction coefficient) as well as on…

Data-driven methods demonstrate considerable potential for accelerating the inherently expensive computational fluid dynamics (CFD) solvers. Nevertheless, pure machine-learning surrogate models face challenges in ensuring physical…

流体动力学 · 物理学 2024-09-12 Clément Caron , Philippe Lauret , Alain Bastide

Predicting the spatiotemporal variation in streamflow along with uncertainty quantification enables decision-making for sustainable management of scarce water resources. Process-based hydrological models (aka physics-based models) are based…

We propose a novel \textit{capsule} based deep encoder-decoder model for surrogate modeling and uncertainty quantification of systems in mechanics from sparse data. The proposed framework is developed by adapting Capsule Network (CapsNet)…

机器学习 · 统计学 2022-01-20 Akshay Thakur , Souvik Chakraborty

In the study of gas dynamics, theoretical modeling and numerical simulation are mostly set up with deterministic settings. Given the coarse-grained modeling in theories of fluids, considerable uncertainties may exist between flow-field…

计算物理 · 物理学 2020-08-07 Tianbai Xiao

Surrogate models for computational simulations are input-output approximations that allow computationally intensive analyses, such as uncertainty propagation and inference, to be performed efficiently. When a simulation output does not…

计算工程、金融与科学 · 计算机科学 2014-08-05 Alex A. Gorodetsky , Youssef M. Marzouk

Statistical surrogate modeling of fluid flows is hard because dynamics are multiscale and highly sensitive to initial conditions. Conditional diffusion surrogates can be accurate, but usually need hundreds of stochastic sampling steps. We…

机器学习 · 计算机科学 2026-02-10 Victor Armegioiu , Yannick Ramic , Siddhartha Mishra

Polynomial chaos and Gaussian process emulation are methods for surrogate-based uncertainty quantification, and have been developed independently in their respective communities over the last 25 years. Despite tackling similar problems in…

统计理论 · 数学 2017-01-16 N. E. Owen , P. Challenor , P. P. Menon , S. Bennani

Transient computational fluid dynamics (CFD) remains expensive when long horizons and multi-scale turbulence are involved. Data-driven surrogates promise relief, yet many degrade over multiple steps or drift from physical behavior. This…

流体动力学 · 物理学 2025-12-01 Blaise Madiega , Mathieu Olivier

Existing model validation studies in geoscience often disregard or partly account for uncertainties in observations, model choices, and input parameters. In this work, we develop a statistical framework that incorporates a probabilistic…

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