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We introduce a novel approach to derive compressibility corrections for Reynolds-averaged Navier-Stokes (RANS) models. Using this approach, we derive variable-property corrections for wall-bounded flows that take into account the distinct…

Fluid Dynamics · Physics 2025-09-17 Asif Manzoor Hasan , Alex Jose Elias , Florian Menter , Rene Pecnik

Simulations based on Reynolds-Averaged Navier--Stokes (RANS) models have been used to support high-consequence decisions related to turbulent flows. Apart from the deterministic model predictions, the decision makers are often equally…

Fluid Dynamics · Physics 2017-01-25 Jian-Xun Wang , Jin-Long Wu , Heng Xiao

Finding an appropriate turbulence model for a given flow case usually calls for extensive experimentation with both models and numerical solution methods. This work presents the design and implementation of a flexible, programmable software…

Computational Engineering, Finance, and Science · Computer Science 2011-07-21 Mikael Mortensen , Hans Petter Langtangen , Garth N. Wells

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…

Fluid Dynamics · Physics 2019-06-14 Yaser Afshar , Saakaar Bhatnagar , Shaowu Pan , Karthik Duraisamy , Shailendra Kaushik

Over the last years, supervised learning (SL) has established itself as the state-of-the-art for data-driven turbulence modeling. In the SL paradigm, models are trained based on a dataset, which is typically computed a priori from a…

Fluid Dynamics · Physics 2022-12-23 Marius Kurz , Philipp Offenhäuser , Andrea Beck

Advancing our understanding of astrophysical turbulence is bottlenecked by the limited resolution of numerical simulations that may not fully sample scales in the inertial range. Machine learning (ML) techniques have demonstrated promise in…

Fluid Dynamics · Physics 2024-02-02 Diane M. Salim , Blakesley Burkhart , David Sondak

We investigate the prediction of the turbulent flow around a canonical square cylinder at Re= 22000 solving the unsteady Reynolds-averaged Navier-Stokes (URANS) equations. The limitations of URANS modelling are overcome through the…

Fluid Dynamics · Physics 2022-03-09 Markus Zauner , Vincent Mons , Olivier Marquet , Benjamin Leclaire

We present direct numerical simulations (DNSs) of bypass transition over a flat plate with inlet freestream turbulence intensity levels of 0.75%, 1.5%, 2.25%, 3.0%, and 6.0%, respectively. A new definition of the transition intermittency is…

Fluid Dynamics · Physics 2025-02-28 Carlos A. Gonzalez , Rahul Agrawal , Xiaohua Wu

Design exploration or optimization using computational fluid dynamics (CFD) is commonly used in the industry. Geometric variation is a key component of such design problems, especially in turbulent flow scenarios, which involves running…

Machine Learning · Computer Science 2024-12-04 Shinjan Ghosh , Julian Busch , Georgia Olympia Brikis , Biswadip Dey

Machine learning techniques have been applied to enhance turbulence modeling in recent years. However, the "black box" nature of most machine learning techniques poses significant interpretability challenges in improving turbulence models.…

Fluid Dynamics · Physics 2025-08-22 Boqian Zhang , Juanmian Lei

Accurate prediction of mixing transition induced by interfacial instabilities is vital for engineering applications, but has remained a great challenge for decades. For engineering practices, Reynolds-averaged Navier-Stokes simulation…

Fluid Dynamics · Physics 2023-10-02 Hansong Xie , Mengjuan Xiao , Yousheng Zhang , Yaomin Zhao

Simulation of turbulent flows at high Reynolds number is a computationally challenging task relevant to a large number of engineering and scientific applications in diverse fields such as climate science, aerodynamics, and combustion.…

Computational Physics · Physics 2020-10-06 Jaideep Pathak , Mustafa Mustafa , Karthik Kashinath , Emmanuel Motheau , Thorsten Kurth , Marcus Day

Prior to any statistical averaging we derive a rotational form of the Reynolds-Averaged Navier-Stokes (RANS) equations, eliminating the pressure and exposing a velocity--vorticity interplay governed by \[…

Analysis of PDEs · Mathematics 2025-07-22 Carla Valencia , Sebastián Velasco , Manuel Romero de Terreros

In this paper, we train turbulence models based on convolutional neural networks. These learned turbulence models improve under-resolved low resolution solutions to the incompressible Navier-Stokes equations at simulation time. Our study…

Fluid Dynamics · Physics 2022-10-12 Björn List , Li-Wei Chen , Nils Thuerey

Deep learning is increasingly becoming a promising pathway to improving the accuracy of sub-grid scale (SGS) turbulence closure models for large eddy simulations (LES). We leverage the concept of differentiable turbulence, whereby an…

Recent works have explored the potential of machine learning as data-driven turbulence closures for RANS and LES techniques. Beyond these advances, the high expressivity and agility of physics-informed neural networks (PINNs) make them…

Machine Learning · Computer Science 2021-03-08 Didier Lucor , Atul Agrawal , Anne Sergent

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…

It is well known that Boussinesq turbulent-viscosity hypothesis can introduce uncertainty in predictions for complex flow features such as separation, reattachment, and laminar-turbulent transition. This study adopts a recent physics-based…

Fluid Dynamics · Physics 2022-10-19 Minghan Chu , Xiaohua Wu , David E. Rival

In this study, ensembles of experimental data are presented and utilized to compare and validate two models used in the simulation of variable density, compressible turbulent mixing. Though models of this kind (Reynolds Averaged Navier…

Fluid Dynamics · Physics 2022-03-07 Benjamin Musci , Britton Olson , Samuel Petter , Gokul Pathikonda , Devesh Ranjan

Artificial neural network (ANN) is tested as a tool for finding a new subgrid model of the subgrid-scale (SGS) stress in large-eddy simulation. ANN is used to establish a functional relation between the grid-scale (GS) flow field and the…

Fluid Dynamics · Physics 2017-05-10 Masataka Gamahara , Yuji Hattori
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