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We study the statistics of the horizontal component of atmospheric boundary layer wind speed. Motivated by its non-stationarity, we investigate which parameters remain constant or can be regarded as being piece-wise constant and explain how…

Data Analysis, Statistics and Probability · Physics 2008-11-21 T. Laubrich , F. Ghasemi , J. Peinke , H. Kantz

A numerical model of axisymmetric convection in the presence of a vertical magnetic flux bundle and rotation about the axis is presented. The model contains a compressible plasma described by the nonlinear MHD equations, with density and…

Astrophysics · Physics 2009-11-13 G. J. J. Botha , F. H. Busse , N. E. Hurlburt , A. M. Rucklidge

The effect of kinetic helicity (velocity--vorticity correlation) on turbulent momentum transport is investigated. The turbulent kinetic helicity (pseudoscalar) enters the Reynolds stress (mirrorsymmetric tensor) expression in the form of a…

Fluid Dynamics · Physics 2016-04-06 Nobumitsu Yokoi , Axel Brandenburg

This article presents direct numerical simulations of the growth of turbulent spots in the transitional regime of plane Couette flow. A quantitative description of the growth process and of the detail of the quadrupolar flow around the spot…

Fluid Dynamics · Physics 2014-01-16 Joran Rolland

The transient dynamics of a wake vortex, modelled as a strong swirling $q$-vortex, are investigated with a focus on optimal transient growth driven by continuous eigenmodes associated with continuous spectra. The pivotal contribution of…

Fluid Dynamics · Physics 2025-07-02 Sangjoon Lee , Philip S. Marcus

The energy cascade in turbulence, first statistically described by Richardson (1922) and Kolmogorov (1941), lacked connection to the underlying fluid dynamics. Recent numerical studies of Goto et al. (2017) and Yoneda et al. (2022) revealed…

Analysis of PDEs · Mathematics 2025-09-09 Afifah Maya Iknaningrum , Pen-Yuan Hsu , Tsuyoshi Yoneda , Hirofumi Notsu

This study reports the development and characterization of a multiple-supersonic-jet wind tunnel designed to investigate the decay of nearly homogeneous and isotropic turbulence in a compressible regime. The interaction of 36 supersonic…

Fluid Dynamics · Physics 2024-01-17 Takahiro Mori , Tomoaki Watanabe , Koji Nagata

We introduce a notion of stability for non-autonomous Hamiltonian flows on two-dimensional annular surfaces. This notion of stability is designed to capture the sustained twisting of particle trajectories. The main Theorem is applied to…

Analysis of PDEs · Mathematics 2024-08-30 Theodore D. Drivas , Tarek M. Elgindi , In-Jee Jeong

The forcing of interstellar turbulence, driven mainly by supernova explosions, is irrotational in nature, but the development of significant amounts of vorticity and helicity, accompanied by large-scale dynamo action, has been reported.…

Astrophysics of Galaxies · Physics 2018-03-21 Maarit J. Käpylä , Frederick A. Gent , Miikka S. Väisälä , Graeme R. Sarson

When a rotor blade encounters reverse flow in edgewise flight at high advance ratio, a strong vortical structure forms on the leeside of the sharp blade edge. This has unexpected effects on blade aerodynamics. A differential onset velocity…

Fluid Dynamics · Physics 2019-04-24 Nandeesh Hiremath , Dhwanil Shukla , Narayanan Komerath

Through the Ginzburg-Landau and the Navier-Stokes equations, we study turbulence phenomena for viscous incompressible and compressible fluids by a second order phase transition. For this model, the velocity is defined by the sum of…

Fluid Dynamics · Physics 2019-12-30 Mauro Fabrizio

A bypass transition scenario in a wind-stress driven aqueous flow is analysed using a temporally developing boundary layer model with accelerating surface drift velocity. The parameters of the model are selected to mimic a wave-tank…

Fluid Dynamics · Physics 2020-12-22 Asim Önder , Philip L. -F. Liu , Wu-ting Tsai

This paper is the first part of a two-fold study of mixing, i.e. the formation of layers and upwelling of buoyancy, in axially stratified Taylor--Couette flow, with fixed outer cylinder. Using linear analysis and direct numerical…

Knowledge of turbulent flows over non-flat surfaces is of major practical interest in diverse applications. Significant work continues to be reported in the roughness regime at high Reynolds numbers where the cumulative effect of surface…

Fluid Dynamics · Physics 2019-11-27 Balaji Jayaraman , Saadbin Khan

Periodic travelling waves at the free surface of an incompressible inviscid fluid in two dimensions under gravity are numerically computed for an arbitrary vorticity distribution. The fluid domain over one period is conformally mapped from…

Fluid Dynamics · Physics 2025-02-26 Alex Doak , Vera Mikyoung Hur , Jean-Marc Vanden-Broeck

Much theoretical and observational work has been done on stellar winds within binary systems. We present a new solution for a ballistic wind launched from a source in a circular orbit. Our method emphasizes the curved streamlines in the…

Solar and Stellar Astrophysics · Physics 2017-07-26 Francis P. Wilkin , Harry Hausner

In a two-dimensional model of the planetary atmosphere the compressible convective flow of vorticity represents a strong nonlinearity able to drive the fluid toward a quasi-coherent vortical pattern. This is similar to the highly organised…

Atmospheric and Oceanic Physics · Physics 2007-05-23 Florin Spineanu , Madalina Vlad

In this report, We investigated the nonlinear phenomena in the study of flow dynamics of velocity component. In our studies, we observed nonlinear term in the vertical component of velocity by vittori et al \cite{vit} The time series…

Fluid Dynamics · Physics 2009-09-15 Ruma Dutta , Ethan Kubatko

A vorticity surge event that could be a paradigm for a wide class of bursting events in turbulence is studied to examine how the energy cascade is established and how this event could serve as a new test of LES turbulence models. This…

Chaotic Dynamics · Physics 2009-11-07 Darryl D. Holm , Robert M. Kerr

We investigate a new two-dimensional compressible Navier-Stokes hydrodynamic model design to explain and study large scale ice swirls formation at the surface of the ocean. The linearized model generates a basis of Bessel solutions from…

Pattern Formation and Solitons · Physics 2019-07-24 Zhi Zong , Andrei Ludu