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The present study represents a data-driven turbulent model with Galilean invariance preservation based on machine learning algorithm. The fully connected neural network (FCNN) and tensor basis neural network (TBNN) [Ling et al. (2016)] are…

Fluid Dynamics · Physics 2025-02-11 Xuepeng Fu , Shixiao Fu , Chang Liu , Mengmeng Zhang , Qihan Hu

This paper introduces a novel mathematical framework for examining the regularity and energy dissipation properties of solutions to the stochastic Navier-Stokes equations. By integrating Sobolev-Besov hybrid spaces, fractional differential…

Analysis of PDEs · Mathematics 2024-11-18 Rômulo Damasclin Chaves dos Santos , Jorge Henrique de Oliveira Sales

In the present work, an attempt is made to map the sensitivity of the existing zero pressure gradient (ZPG) turbulent boundary layer (TBL) wall-pressure spectrum models with different TBL parameters, and eventually, with different Reynolds…

Fluid Dynamics · Physics 2022-09-27 Biplab Ranjan Adhikary , Ananya Majumdar , Subhadeep Sarkar , Partha Bhattacharya

We present a novel approach to hybrid RANS/LES wall modeling based on function enrichment, which overcomes the common problem of the RANS-LES transition and enables coarse meshes near the boundary. While the concept of function enrichment…

Fluid Dynamics · Physics 2019-01-23 Benjamin Krank , Martin Kronbichler , Wolfgang A. Wall

Accurate simulation of turbulent flows remains a challenge due to the high computational cost of direct numerical simulations (DNS) and the limitations of traditional turbulence models. This paper explores a novel approach to augmenting…

Fluid Dynamics · Physics 2025-02-17 Jonas Luther , Patrick Jenny

A cost-effective multi-objective shape optimization strategy is proposed for high-Reynolds number flows involving complex phenomena such as boundary layer transition, shock-wave interactions, and turbulent wakes. These processes are poorly…

Fluid Dynamics · Physics 2025-03-25 Camille Matar , Paola Cinnella , Xavier Gloerfelt

This paper addresses the Bayesian calibration of dynamic models with parametric and structural uncertainties, in particular where the uncertain parameters are unknown/poorly known spatio-temporally varying subsystem models. Independent…

Computation · Statistics 2012-11-02 Piyush Tagade , Han-Lim Choi

The simulation of high Reynolds number (Re) separated turbulent flows faces significant problems for decades: large eddy simulation (LES) is computationally too expensive, and Reynolds-averaged Navier-Stokes (RANS) methods and hybrid…

Fluid Dynamics · Physics 2024-12-02 Stefan Heinz , Adeyemi Fagbade

Assessing the compliance of a white-box turbulence model with known turbulent knowledge is straightforward. It enables users to screen conventional turbulence models and identify apparent inadequacies, thereby allowing for a more focused…

Fluid Dynamics · Physics 2023-10-17 Peng E S Chen , Yuanwei Bin , Xiang I A Yang , Yipeng Shi , Mahdi Abkar , George I. Park

This work presents a converged framework of Machine-Learning Assisted Turbulence Modeling (MLATM). Our objective is to develop a turbulence model directly learning from high fidelity data (DNS/LES) with eddy-viscosity hypothesis induced.…

Fluid Dynamics · Physics 2019-07-09 Weishuo Liu , Jian Fang , Stefano Rolfo , Lipeng Lu

Bayesian Optimization (BO) has been recognized for its effectiveness in optimizing expensive and complex objective functions. Recent advancements in Latent Bayesian Optimization (LBO) have shown promise by integrating generative models such…

Machine Learning · Computer Science 2025-04-22 Seunghun Lee , Jinyoung Park , Jaewon Chu , Minseo Yoon , Hyunwoo J. Kim

Models for solving the Reynolds-averaged Navier-Stokes equations are popular tools for predicting complex turbulent flows due to their computational affordability and ability to provide or estimate quantities of engineering interest.…

Fluid Dynamics · Physics 2024-09-10 Ty Homan , Omkar B. Shende , Ali Mani

Multi-objective Bayesian optimization (MOBO) provides a principled framework for optimizing expensive black-box functions with multiple objectives. However, existing MOBO methods often struggle with coverage, scalability with respect to the…

Machine Learning · Computer Science 2026-04-20 Yaohong Yang , Sammie Katt , Samuel Kaski

This work extends a pressure-gradient sensor for boundary-layer separation originally developed for the $k-\omega$ shear-stress transport Reynolds-averaged Navier-Stokes (RANS) model (Griffin et al., 2025, J. Turb.) to the Improved Delayed…

This work aims to incorporate basic calibrations of Reynolds-averaged Navier-Stokes (RANS) models as part of machine learning (ML) frameworks. The ML frameworks considered are tensor-basis neural network (TBNN), physics-informed machine…

Fluid Dynamics · Physics 2023-11-15 Jiaqi J. L. Li , Yuanwei Bin , George P. Huang , Xiang I. A. Yang

Ensuring high accuracy and efficiency of predictive models is paramount in the aerospace industry, particularly in the context of multidisciplinary design and optimization processes. These processes often require numerous evaluations of…

Machine Learning · Computer Science 2025-03-26 James M. Shihua , Paul Saves , Rhea P. Liem , Joseph Morlier

The performance of a guidance, navigation and control (GNC) system of an autonomous underwater vehicle (AUV) heavily depends on the correct tuning of its parameters. Our objective is to automatically tune these parameters with respect to…

Systems and Control · Electrical Eng. & Systems 2022-05-31 David Stenger , Maximilian Nitsch , Dirk Abel

This research addresses critical autonomous vehicle control challenges arising from road roughness variation, which induces course deviations and potential loss of road contact during steering operations. We present a novel real-time road…

Robotics · Computer Science 2025-06-27 Edwina Lewis , Aditya Parameshwaran , Laura Redmond , Yue Wang

This article provides a reduced-order modelling framework for turbulent compressible flows discretized by the use of finite volume approaches. The basic idea behind this work is the construction of a reduced-order model capable of providing…

Fluid Dynamics · Physics 2024-05-31 Matteo Zancanaro , Valentin Nkana Ngan , Giovanni Stabile , Gianluigi Rozza

Bayesian Optimization (BO) is a sample-efficient optimization algorithm widely employed across various applications. In some challenging BO tasks, input uncertainty arises due to the inevitable randomness in the optimization process, such…

Machine Learning · Computer Science 2023-11-07 Lin Yang , Junlong Lyu , Wenlong Lyu , Zhitang Chen
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