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In this work, a transformation, which maps the mean velocity profiles of compressible wall-bounded turbulent flows to the incompressible law of the wall is proposed. Unlike existing approaches, the proposed transformation successfully…

Fluid Dynamics · Physics 2021-08-23 Kevin Patrick Griffin , Lin Fu , Parviz Moin

Accurately predicting drag and heat transfer for compressible high-speed flows is of utmost importance for a range of engineering applications. This requires the precise knowledge of the entire velocity and temperature profiles. A common…

Fluid Dynamics · Physics 2023-07-06 Asif Manzoor Hasan , Johan Larsson , Sergio Pirozzoli , Rene Pecnik

In this work, a near-wall model, which couples the inverse of a recently developed compressible velocity transformation [Griffin, Fu, & Moin, PNAS, 118:34, 2021] and an algebraic temperature-velocity relation, is developed for high-speed…

Fluid Dynamics · Physics 2023-09-11 Kevin Patrick Griffin , Lin Fu , Parviz Moin

In supersonic and hypersonic flows, the near-wall density variation due to wall cooling poses a challenge for accurately predicting the near-wall velocity and temperature profiles using classical eddy viscosity turbulence models.…

Fluid Dynamics · Physics 2025-08-19 Zifei Yin

Velocity and temperature distributions are both crucial for modeling compressible wall-bounded turbulent flows. The compressible law of the wall for velocity has been extensively examined through velocity transformations. However, a…

Fluid Dynamics · Physics 2026-03-06 Youjie Xu , Steffen J. Schmidt , Nikolaus A. Adams

This work assesses several popular transformations for the velocity profile through their application to several types of non-canonical compressible wall-bounded turbulent flows. Specifically, this work explores DNS databases of…

Fluid Dynamics · Physics 2022-05-03 Tianyi Bai , Kevin P. Griffin , Lin Fu

The effects of density and viscosity fluctuations on the total stress balance are identified and used to create a new mean velocity transformation for compressible boundary layers. This work is enabled by an extensive database of direct…

Fluid Dynamics · Physics 2023-02-28 Han Lee , Pino Martin , Owen Williams

Direct numerical simulations are performed to investigate the combined effects of surface roughness and wall heat transfer on spatially developing compressible turbulent boundary layers at $Ma=2.5$. The roughness consists of transverse…

Fluid Dynamics · Physics 2026-04-14 Youtian Su , Wei-Xi Huang , Chunxiao Xu

In compressible turbulent boundary layers (TBLs), roughness drag is typically characterised by first applying a velocity transformation to account for compressibility, after which the momentum deficit $\Delta U^+$ (Hama, 1954) and the…

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

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

Hypersonic boundary layer transition using high-order methods for direct numerical simulations (DNS) is largely unexplored, although a few references exist in the literature. Experimental data in the hypersonic regime are scarce, while…

Fluid Dynamics · Physics 2024-07-03 Ahmad Peyvan , Luis Bravo , Anindya Ghoshal , Olaf Marxen , George Karniadakis

Wall cooling has substantial effects on the development of instabilities and transition processes in hypersonic boundary layers (HBLs). A sequence of linear stability theory, two-dimensional and non-linear three-dimensional DNSs is used to…

Fluid Dynamics · Physics 2021-04-07 S. Unnikrishnan , Datta V. Gaitonde

Wall-cooling effect in hypersonic boundary layers can significantly alter the near-wall turbulence behavior, which is not accurately modeled by traditional RANS turbulence models. To address this shortcoming, this paper presents a…

Fluid Dynamics · Physics 2025-04-17 Muhammad I. Zafar , Xuhui Zhou , Christopher J. Roy , David Stelter , Heng Xiao

A robust composite mean velocity profile is developed for turbulent boundary layers (TBLs) subjected to adverse pressure gradients (APGs), extending the composite formulation for generic pressure-gradient TBLs proposed by…

Fluid Dynamics · Physics 2026-03-26 Ahmad Zarei , Mitchell Lozier , Rahul Deshpande , Ivan Marusic

This study proposes a newly-developed deep-learning-based method to generate turbulent inflow conditions for spatially-developing turbulent boundary layer (TBL) simulations. A combination of a transformer and a multiscale-enhanced…

Fluid Dynamics · Physics 2023-03-22 Mustafa Z. Yousif , Meng Zhang , Linqi Yu , Ricardo Vinuesa , HeeChang Lim

Hypersonic flow conditions pose exceptional challenges for Reynolds-Averaged Navier-Stokes (RANS) turbulence modeling. Critical phenomena include compressibility effects, shock/turbulent boundary layer interactions, turbulence-chemistry…

Fluid Dynamics · Physics 2025-04-30 Pratikkumar Raje , Eric Parish , Jean-Pierre Hickey , Paola Cinnella , Karthik Duraisamy

A similarity transformation for the mean velocity profiles is obtained in sink flow turbulent boundary layers (TBL), including effects of blowing and suction. It is based on symmetry analysis which transforms the governing partial…

Fluid Dynamics · Physics 2017-04-05 Xi Chen , Fazle Hussain

Modeling rarefied hypersonic flows remains a fundamental challenge due to the breakdown of classical continuum assumptions in the transition-continuum regime, where the Knudsen number ranges from approximately 0.1 to 10. Conventional…

Fluid Dynamics · Physics 2026-03-03 Ashish S. Nair , Narendra Singh , Marco Panesi , Justin Sirignano , Jonathan F. MacArt

The impact of intrinsic compressibility effects -- changes in fluid volume due to pressure variations -- on high-speed wall-bounded turbulence has often been overlooked or incorrectly attributed to mean property variations. To unambiguously…

Fluid Dynamics · Physics 2025-03-19 Asif Manzoor Hasan , Pedro Costa , Johan Larsson , Sergio Pirozzoli , Rene Pecnik
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