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An approximation model based on convolutional neural networks (CNNs) is proposed for flow field predictions. The CNN is used to predict the velocity and pressure field in unseen flow conditions and geometries given the pixelated shape of…

流体动力学 · 物理学 2019-06-14 Yaser Afshar , Saakaar Bhatnagar , Shaowu Pan , Karthik Duraisamy , Shailendra Kaushik

In the present paper a new data-driven model is proposed to close and increase accuracy of RANS equations. The divergence of the Reynolds Stress Tensor (RST) is obtained through a Neural Network (NN) whose architecture and input choice…

流体动力学 · 物理学 2022-10-19 Stefano Berrone , Davide Oberto

Uncertainty quantification (UQ) is important for reliability assessment and enhancement of machine learning models. In deep learning, uncertainties arise not only from data, but also from the training procedure that often injects…

机器学习 · 统计学 2023-11-13 Ziyi Huang , Henry Lam , Haofeng Zhang

The emerging push of the differentiable programming paradigm in scientific computing is conducive to training deep learning turbulence models using indirect observations. This paper demonstrates the viability of this approach and presents…

流体动力学 · 物理学 2021-04-13 Carlos A. Michelén Ströfer , Heng Xiao

Aerospace design is increasingly incorporating Design Under Uncertainty based approaches to lead to more robust and reliable optimal designs. These approaches require dependable estimates of uncertainty in simulations for their success. The…

流体动力学 · 物理学 2024-02-28 Marcel Matha , Christian Morsbach

Data from experiments and direct simulations of turbulence have historically been used to calibrate simple engineering models such as those based on the Reynolds-averaged Navier--Stokes (RANS) equations. In the past few years, with the…

流体动力学 · 物理学 2019-01-30 Karthik Duraisamy , Gianluca Iaccarino , Heng Xiao

Cavitation is a complex multiphase phenomenon characterised by vapour bubbles forming due to a sudden pressure drop and is often accompanied by increased hull vibrations, increased radiated noise and decrease in propeller and impeller…

流体动力学 · 物理学 2024-05-02 Dhruv Apte , Mingming Ge , Olivier Coutier-Delgosha

Predicting the evolution of turbulent flows is central across science and engineering. Most studies rely on simulations with turbulence models, whose empirical simplifications introduce epistemic uncertainty. The Eigenspace Perturbation…

机器学习 · 计算机科学 2025-11-11 Minghan Chu , Weicheng Qian

Complex turbulent flow simulations are an integral aspect of the engineering design process. The mainstay of these simulations is represented by eddy viscosity based turbulence models. Eddy viscosity models are computationally cheap due to…

流体动力学 · 物理学 2024-08-14 Minghan Chu , Weicheng Qian

Solving the Reynolds-averaged Navier-Stokes equations (RANS) closed with an eddy viscosity computed through a turbulence model is still the leading approach for Computational Fluid Dynamics simulations. Unfortunately, universal models with…

流体动力学 · 物理学 2025-09-18 Marco Castelletti , Maurizio Quadrio

Physics-informed neural networks (PINNs) provide a framework to build surrogate models for dynamical systems governed by differential equations. During the learning process, PINNs incorporate a physics-based regularization term within the…

机器学习 · 计算机科学 2023-08-14 Shinjan Ghosh , Amit Chakraborty , Georgia Olympia Brikis , Biswadip Dey

With this study we investigate the accuracy of deep learning models for the inference of Reynolds-Averaged Navier-Stokes solutions. We focus on a modernized U-net architecture, and evaluate a large number of trained neural networks with…

机器学习 · 计算机科学 2020-10-20 Nils Thuerey , Konstantin Weissenow , Lukas Prantl , Xiangyu Hu

A novel machine learning algorithm is presented, serving as a data-driven turbulence modeling tool for Reynolds Averaged Navier-Stokes (RANS) simulations. This machine learning algorithm, called the Tensor Basis Random Forest (TBRF), is…

流体动力学 · 物理学 2020-04-20 Mikael L. A. Kaandorp , Richard P. Dwight

This work introduces a novel data-driven framework to formulate explicit algebraic Reynolds-averaged Navier-Stokes (RANS) turbulence closures. Recent years have witnessed a blossom in applying machine learning (ML) methods to revolutionize…

流体动力学 · 物理学 2023-01-24 Hongwei Tang , Yan Wang , Tongguang Wang , Linlin Tian

We use approximate Bayesian computation (ABC) to estimate unknown parameter values, as well as their uncertainties, in Reynolds-averaged Navier-Stokes (RANS) simulations of turbulent flows. The ABC method approximates posterior…

流体动力学 · 物理学 2020-11-04 Olga A. Doronina , Scott M. Murman , Peter E. Hamlington

Explicit quantification of uncertainty in engineering simulations is being increasingly used to inform robust and reliable design practices. In the aerospace industry, computationally-feasible analyses for design optimization purposes often…

流体动力学 · 物理学 2019-11-13 Jayant Mukhopadhaya , Brian T. Whitehead , John F. Quindlen , Juan J. Alonso

In light of the challenges surrounding convergence and error propagation encountered in Reynolds-averaged Navier-Stokes (RANS) equations with data-driven Reynolds stress closures, researchers commonly attribute these issues to…

流体动力学 · 物理学 2024-05-07 Xianglin Shan , Wenbo Cao , Weiwei Zhang

Reynolds-averaged Navier--Stokes (RANS) simulations with turbulence closure models continue to play important roles in industrial flow simulations. However, the commonly used linear eddy viscosity models are intrinsically unable to handle…

流体动力学 · 物理学 2019-05-22 Jin-Long Wu , Heng Xiao , Rui Sun , Qiqi Wang

Several Tensor Basis Neural Network (TBNN) frameworks aimed at enhancing turbulence RANS modeling have recently been proposed in the literature as data-driven constitutive models for systems with known invariance properties. However,…

流体动力学 · 物理学 2024-03-19 Jiayi Cai , Pierre-Emmanuel Angeli , Jean-Marc Martinez , Guillaume Damblin , Didier Lucor

This study proposes a global similarity correction for Reynolds-averaged Navier--Stokes (RANS) modeling of buoyancy effects in unstably stratified flows. Conventional two-equation RANS models (e.g., the $k$-$\varepsilon$ model) lack a clear…

流体动力学 · 物理学 2025-03-14 Da-Sol Joo