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The intrinsic uncertainty of fluid properties, including the equation of state, viscosity, and thermal conductivity, on boundary layer stability has scarcely been addressed. When a fluid is operating in the vicinity of the Widom line…

Fluid Dynamics · Physics 2025-02-07 Jie Ren , Yongxiang Wu , Xuerui Mao , Cheng Wang , Markus Kloker

Two-dimensional (2D) turbulence features an inverse energy cascade that produces large-scale flow structures such as large-scale vortices (LSVs) and unidirectional jets. We investigate the dynamics of such structures using extensive direct…

Fluid Dynamics · Physics 2024-04-24 Lichuan Xu , Adrian van Kan , Chang Liu , Edgar Knobloch

We study small disturbances to the periodic, plane Couette flow in the 3D incompressible Navier-Stokes equations at high Reynolds number $\textbf{Re}$. We prove that for sufficiently regular initial data of size $\epsilon \leq…

Analysis of PDEs · Mathematics 2015-06-12 Jacob Bedrossian , Pierre Germain , Nader Masmoudi

Supersonic turbulent channels subjected to sudden spanwise acceleration at initial friction Reynolds numbers of approximately 500 and different Mach numbers are studied through direct numerical simulations. The response to the spanwise…

Fluid Dynamics · Physics 2026-01-14 Salvador Rey Gomez

We report high-resolution measurements of three-dimensional (3D) turbulence in a rapidly rotating fluid. By decomposing the velocity field into a vertically averaged component and a three-dimensional residual, we show that each dominates…

Fluid Dynamics · Physics 2026-05-19 Omri Shaltiel , Eran Sharon

A 2D temporal incompressible stability analysis is carried out for lobed jets. The jet base flow is assumed to be parallel and of a vortex-sheet type. The eigenfunctions of this simplified stability problem are expanded using the…

Fluid Dynamics · Physics 2019-02-20 Benshuai Lyu , Ann P. Dowling

The influence of roughness spacing on boundary layer transition over distributed roughness elements is studied using direct numerical simulation (DNS) and global stability analysis, and compared to isolated roughness elements at the same…

Fluid Dynamics · Physics 2023-03-21 Rong Ma , Krishnan Mahesh

Differential buoyancy surface sources in the ocean may induce a density-driven flow that joins faster flow components to create a multi-scale, 3D flow. Potential temperature and salinity are active tracers that determine the ocean's…

Geophysics · Physics 2022-08-10 Ori Saporta-Katz , Edriss S. Titi , Hezi Gildor , Vered Rom-Kedar

Laminar shear flows can display large non-modal perturbation growth, often through the lift-up mechansm, and can undergo subcritical transition to turbulence. The process is three-dimensional. Two-dimensional (2D) spanwise-independent…

Fluid Dynamics · Physics 2024-05-01 Sharath Jose

Wall-resolved large-eddy simulations are performed to study the impact of spanwise traveling transversal surface waves in zero-pressure gradient turbulent boundary layer flow. Eighty variations of wavelength, period, and amplitude of the…

The linear stability of a fully-developed liquid-metal MHD pipe flow subject to a transverse magnetic field is studied numerically. Because of the lack of axial symmetry in the mean velocity profile, we need to perform a BiGlobal stability…

Fluid Dynamics · Physics 2023-05-03 Yelyzaveta Velizhanina , Bernard Knaepen

Turbulence follows a few well-known organizational principles, rooted in conservation laws. One such principle states that a system conserving two sign-definite invariants self-organizes into large-scale structures. Ordinary…

Fluid Dynamics · Physics 2026-02-10 Sébastien Gomé , Anna Frishman

We consider a 9-PDE (1-space and 1-time) model of plane Couette flow in which the degrees of freedom are severely restricted in the streamwise and cross-stream directions to study spanwise localisation in detail. Of the many steady Eckhaus…

Fluid Dynamics · Physics 2015-04-16 Matthew Chantry , Rich R Kerswell

The separated flow over a wall-mounted bump geometry under harmonic oscillations of the inflow stream is investigated by direct numerical simulations. The bump geometry gives rise to streamwise pressure gradients similar to those…

Fluid Dynamics · Physics 2023-09-07 Himpu Marbona , Daniel Rodríguez , Alejandro Martínez-Cava , Eusebio Valero

Utilizing an eigenfunction decomposition, we study the growth and spectra of energy in the vortical and wave modes of a 3D rotating stratified fluid as a function of $\epsilon = f/N$. Working in regimes characterized by moderate Burger…

Fluid Dynamics · Physics 2009-11-13 Jai Sukhatme , Leslie M. Smith

We perform accurate investigation of stability of localized vortices in an effectively two-dimensional ("pancake-shaped") trapped BEC with negative scattering length. The analysis combines computation of the stability eigenvalues and direct…

Other Condensed Matter · Physics 2009-11-11 Dumitru Mihalache , Dumitru Mazilu , Boris A. Malomed , Falk Lederer

We study plasmons in a rectangular two-dimensional (2D) electron system in the vicinity of a planar metal electrode (gate) and in the presence of a perpendicular uniform magnetic field, using Maxwell's equations and neglecting retardation…

Mesoscale and Nanoscale Physics · Physics 2024-07-24 D. A. Rodionov , I. V. Zagorodnev

Turbulence generation mechanisms in stratified, rotating flows past three-dimensional (3D) topography remain underexplored, particularly in submesoscale (SMS) regimes critical to geophysical applications. Using turbulence-resolving…

Fluid Dynamics · Physics 2025-09-09 Jinyuan Liu , Pranav Puthan , Sutanu Sarkar

We analyze theoretically and experimentally the wake behind a horizontal cylinder of diameter $d$ horizontally translated at constant velocity $U$ in a fluid rotating about the vertical axis at a rate $\Omega$. Using particle image…

This paper concerns the dynamic stability of the steady 3-D wave structure of a planar normal shock front intersecting perpendicularly to a planar solid wall for unsteady potential flows. The stability problem can be formulated as a free…

Analysis of PDEs · Mathematics 2021-08-23 Beixiang Fang , Feimin Huang , Wei Xiang , Feng Xiao