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Computer simulations are becoming an essential tool in many scientific fields from molecular dynamics to aeronautics. In glaciology, future predictions of sea level change require input from ice sheet models. Due to uncertainties in the…

The accuracy of coarse-grained continuum models of dense granular flows is limited by the lack of high-fidelity closure models for granular rheology. One approach to addressing this issue, referred to as the hierarchical multiscale method,…

软凝聚态物质 · 物理学 2025-09-30 B. Siddani , Weiqun Zhang , Andrew Nonaka , John Bell , Ishan Srivastava

A new approach to turbulence simulation, based on a combination of large-eddy simulation (LES) for the whole flow and an array of non-space-filling quasi-direct numerical simulations (QDNS), which sample the response of near-wall turbulence…

流体动力学 · 物理学 2017-10-20 Neil D. Sandham , Roderick Johnstone , Christian T. Jacobs

In many situations across computational science and engineering, multiple computational models are available that describe a system of interest. These different models have varying evaluation costs and varying fidelities. Typically, a…

数值分析 · 数学 2018-06-29 Benjamin Peherstorfer , Karen Willcox , Max Gunzburger

In this paper we study the efficacy of combining machine-learning methods with projection-based model reduction techniques for creating data-driven surrogate models of computationally expensive, high-fidelity physics models. Such surrogate…

流体动力学 · 物理学 2022-09-28 Kenny Chowdhary , Chi Hoang , Kookjin Lee , Jaideep Ray

This work studies the effectiveness of several machine learning techniques for predicting extreme events occurring in the flow around an airfoil at low Reynolds. For certain Reynolds numbers the aerodynamic forces exhibit intermittent…

流体动力学 · 物理学 2021-08-13 Samuel H. Rudy , Themistoklis P. Sapsis

Multifidelity forward uncertainty quantification (UQ) problems often involve multiple quantities of interest and heterogeneous models (e.g., different grids, equations, dimensions, physics, surrogate and reduced-order models). While…

数值分析 · 数学 2023-06-26 M. Croci , K. E. Willcox , S. J. Wright

In operational weather models, the effects of turbulence in the atmospheric boundary layer (ABL) on the resolved flow are modeled using turbulence parameterizations. These parameterizations typically use a predetermined set of model…

流体动力学 · 物理学 2025-05-27 E. Y. Shin , M. F. Howland

Data-driven turbulence modeling studies have reached such a stage that the fundamental framework is basically settled, but several essential issues remain that strongly affect the performance, including accuracy, smoothness, and…

流体动力学 · 物理学 2022-09-21 Yuhui Yin , Yufei Zhang , Haixin Chen , Song Fu

Aircraft design relies heavily on solving challenging and computationally expensive Multidisciplinary Design Optimization problems. In this context, there has been growing interest in multi-fidelity models for Bayesian optimization to…

最优化与控制 · 数学 2026-04-01 Oihan Cordelier , Youssef Diouane , Nathalie Bartoli , Eric Laurendeau

This study focuses on the numerical simulation of high Reynolds number separated flows and proposes a data-driven approach to improve the predictive capability of the SA turbulence model. First, data assimilation was performed on two…

流体动力学 · 物理学 2025-03-13 Xuxiang Sun , Xianglin Shan , Yilang Liu , Weiwei Zhang

Multi-fidelity modelling arises in many situations in computational science and engineering world. It enables accurate inference even when only a small set of accurate data is available. Those data often come from a high-fidelity model,…

机器学习 · 统计学 2022-04-12 Jiahao Zhang , Shiqi Zhang , Guang Lin

This paper explores Neural Operators to predict turbulent flows, focusing on the Fourier Neural Operator (FNO) model. It aims to develop reduced-order/surrogate models for turbulent flow simulations using Machine Learning. Different model…

流体动力学 · 物理学 2023-07-26 Fernando Gonzalez , François-Xavier Demoulin , Simon Bernard

In this paper, we study porous media flows in heterogeneous stochastic media. We propose an efficient forward simulation technique that is tailored for variational Bayesian inversion. As a starting point, the proposed forward simulation…

应用统计 · 统计学 2018-02-12 Keren Yang , Nilabja Guha , Yalchin Efendiev , Bani K. Mallick

Two of the most significant challenges in uncertainty quantification pertain to the high computational cost for simulating complex physical models and the high dimension of the random inputs. In applications of practical interest, both of…

计算工程、金融与科学 · 计算机科学 2022-09-02 Jonas Nitzler , Jonas Biehler , Niklas Fehn , Phaedon-Stelios Koutsourelakis , Wolfgang A. Wall

Aerodynamic shape optimization in industry still faces challenges related to robustness and scalability. This aspect becomes crucial for advanced optimizations that rely on expensive high-fidelity flow solvers, where computational budget…

流体动力学 · 物理学 2025-05-26 Marc Schouler , Anca Belme , Paola Cinnella

Simulating massively separated turbulent flows over bodies is one of the major applications for large-eddy simulation (LES). In the current work, we propose a machine-learning-based LES framework for the rapid simulation of turbulent flows…

流体动力学 · 物理学 2026-03-17 Yunpeng Wang , Huiyu Yang , Zelong Yuan , Zhijie Li , Wenhui Peng , Jianchun Wang

White paper: The aim of this work is to apply and analyze machine learning methods for uncertainty quantification of turbulence models. In this work we investigate the classical and data-driven variants of the eigenspace perturbation…

流体动力学 · 物理学 2022-11-04 Marcel Matha , Karsten Kucharczyk

This paper develops a multifidelity method that enables estimation of failure probabilities for expensive-to-evaluate models via information fusion and importance sampling. The presented general fusion method combines multiple probability…

Although Reynolds-Averaged Navier-Stokes (RANS) equations are still the dominant tool for engineering design and analysis applications involving turbulent flows, standard RANS models are known to be unreliable in many flows of engineering…

计算物理 · 物理学 2018-09-11 Jin-Long Wu , Jian-Xun Wang , Heng Xiao , Julia Ling