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We conducted WMLES to examine the performance of a simple and widely used ODE-based equilibrium wall model in a spatially-developing 3D TBL inside a bent square duct (Schwarz and Bradshaw 1994) and 3D separated flows behind a skewed bump…

Fluid Dynamics · Physics 2020-01-07 Minjeong Cho , George I. Park , Adrián Lozano-Durán , Parviz Moin

To address the issue of computational efficiency related to the modelling of blood flow in complex networks, we derive a family of nonlinear lumped-parameter models for blood flow in compliant vessels departing from a well-established…

Numerical Analysis · Mathematics 2022-01-06 Beatrice Ghitti , Eleuterio F. Toro , Lucas O. Müller

We study a quantity called discrete layered entropy, which approximates the Shannon entropy within a logarithmic gap. Compared to the Shannon entropy, the discrete layered entropy is piecewise linear, approximates the expected length of the…

Information Theory · Computer Science 2026-01-27 Cheuk Ting Li

A century after Prandtl's mixing length hypothesis, full-profile scaling of the mixing length in pressure-gradient turbulent boundary layers (PG TBLs) remains debated, especially for adverse pressure gradients (APGs). This work presents a…

Fluid Dynamics · Physics 2026-04-30 Weitao Bi

High-pressure transcritical fluid flows are central to modern energy and propulsion systems. A key challenge arises in confined configurations, where optimizing performance requires a detailed understanding of the coupled hydrodynamic and…

Fluid Dynamics · Physics 2026-01-21 M. Bernades , J. M. O. Massey , B. J. McKeon , L. Jofre

The Smagorinsky model, unmodified, is often reported to severely overdiffuse flows. Previous estimates of the energy dissipation rate of the Smagorinsky model for shear flows reflect a blow up of model energy dissipation as Re increases.…

Numerical Analysis · Mathematics 2016-01-26 William Layton

Affordable, high order simulations of turbulent flows on unstructured grids for very high Reynolds number flows require wall models for efficiency. However, different wall models have different accuracy and stability properties. Here, we…

Fluid Dynamics · Physics 2021-05-03 Vikram Singh , Steven Frankel , Jan Nordström

Direct numerical simulations are performed to contrast turbulent boundary layers over a concave wall without and with free-stream turbulence. Adverse pressure gradient near the onset of curvature leads to sharp decrease in skin friction and…

Fluid Dynamics · Physics 2021-04-07 Jiho You , David A. Buchta , Tamer A. Zaki

The classical scaling theory of turbulent parallel flow provides a framework for the description of the mean velocity profile through two functions of one variable, traditionally named law of the wall and law of the wake, and a universal…

Fluid Dynamics · Physics 2018-05-09 Paolo Luchini

We provide empirical evidence that within the inertial sub layer of adiabatic turbulent flows over smooth walls, the skewness of the vertical velocity component $Sk_w$ displays universal behaviour, being constant and constrained within the…

In [2] we introduced a method combining together an observability inequality and a spectral decomposition to get a logarithmic stability estimate for the inverse problem of determining both the potential and the damping coefficient in a…

Analysis of PDEs · Mathematics 2015-05-28 Kais Ammari , Mourad Choulli

We investigate eddy-viscosity distributions in pressure-driven wall turbulence for three canonical configurations: plane closed-channel flow, open-channel flow with a free-slip surface, and pipe flow. Using direct numerical simulation (DNS)…

Fluid Dynamics · Physics 2026-04-13 Ben-Rui Xu , Ao Xu

In this paper the propagation of acoustic plane waves in turbulent, fully developed flow is studied by means of an experimental investigation carried out in a straight, smooth-walled duct.The presence of a coherent perturbation, such as an…

Fluid Dynamics · Physics 2018-12-31 H. Tiikoja , F. Auriemma , J. Lavrentjev

Recent experiments suggest that shear-enhanced growth of concentration fluctuations in polymer solutions is strongly influenced by solid boundaries. We analyze the dynamics of a model of a sheared polymer solution, accounting for the effect…

Soft Condensed Matter · Physics 2009-11-07 William B. Black , Michael D. Graham

In wall-bounded turbulence, a multitude of coexisting turbulence structures form the streamwise velocity energy spectrum from the viscosity- to the inertia-dominated range of scales. Definite scaling-trends for streamwise spectra have…

Fluid Dynamics · Physics 2019-12-04 Woutijn J. Baars , Ivan Marusic

An essential feature of canonical zero-pressure-gradient (ZPG) turbulent boundary layers (TBLs) is that the mean streamwise velocity exhibits a logarithmic dependence on the wall-normal distance, known as the log law. In this study, we…

Fluid Dynamics · Physics 2026-01-27 Fuzhou Lyu , Lihao Zhao , Weixi Huang , Chunxiao Xu

A phenomenological description is presented to explain the intermediate and low-frequency/large-scale contributions to the wall-shear-stress (${\tau}_w$) and wall-pressure (${p}_w$) spectra of canonical turbulent boundary layers, which are…

Fluid Dynamics · Physics 2025-01-22 Rahul Deshpande , Ricardo Vinuesa , Joseph Klewicki , Ivan Marusic

Flow-based models typically define a latent space with dimensionality identical to the observational space. In many problems, however, the data does not populate the full ambient data space that they natively reside in, rather inhabiting a…

Machine Learning · Statistics 2023-02-24 Mingtian Zhang , Yitong Sun , Chen Zhang , Steven McDonagh

Turbulence remains an unsolved multidisciplinary science problem. As one of the most well-known examples in turbulent flows, knowledge of the logarithmic mean velocity profile (MVP), so called the log law of the wall, plays an important…

Fluid Dynamics · Physics 2017-08-22 Chien-chia Liu

We investigate a turbulent boundary layer (TBL) with uniform pressure force variations, focusing on understanding its response to local pressure force, local pressure force variation (local disequilibrating effect), and upstream history.…

Fluid Dynamics · Physics 2024-11-20 Taygun R. Gungor , Ayse G. Gungor. Yvan Maciel
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