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Three-dimensional direct numerical simulations of an incompressible open square cavity flow are conducted. Features of the permanent (non-linear) regime together with the linear stability analysis of a two-dimensional steady base flow are…

Fluid Dynamics · Physics 2012-07-30 L. R. Pastur , Y. Fraigneau , F. Lusseyran , J. Basley

We consider solving the surface Helmholtz equation on a smooth two dimensional surface embedded into a three dimensional space meshed with tetrahedra. The mesh does not respect the surface and thus the surface cuts through the elements. We…

Numerical Analysis · Mathematics 2018-10-11 Erik Burman , Peter Hansbo , Mats G. Larson , Andre Massing

We present two-dimensional (2D) particle-in-cell simulations of a magnetized, collisionless, relativistic pair plasma subjected to combined velocity and magnetic-field shear, a scenario typical at intermittent structures in plasma…

High Energy Astrophysical Phenomena · Physics 2025-10-27 Tsun Hin Navin Tsung , Gregory R. Werner , Dmitri A. Uzdensky , Mitchell C. Begelman

Simple analytical criteria are derived to determine whether axisymmetric base flows in annuli and pipes are stable or unstable. Both axisymmetric and non-axisymmetric inviscid disturbances are considered. Our sufficient condition for…

Fluid Dynamics · Physics 2026-05-20 Kengo Deguchi , Haider Munawar , Runjie Song

We present a hydrodynamical 3D simulation of the relativistic jet in 3C273, in comparison to previous linear perturbation analysis of Kelvin-Helmholtz instability developing in the jet. Our aim is to assess advantages and limitations of…

Astrophysics · Physics 2007-05-23 M. Perucho , A. P. Lobanov , J. M. Marti

Aims - Investigate the effects of resistivity and viscosity on the onset and growth of the Kelvin-Helmholtz instability (KHI) in an oscillating coronal loop. Methods - We modelled a standing kink wave in a density-enhanced loop with the…

Solar and Stellar Astrophysics · Physics 2017-06-21 Thomas Howson , Ineke De Moortel , Patrick Antolin

We describe how analytic solutions for linear hydromagnetic waves can be used for testing cosmological magnetohydrodynamic (MHD) codes. We start from the comoving MHD equations and derive analytic solutions for the amplitude evolution of…

Cosmology and Nongalactic Astrophysics · Physics 2022-10-03 Thomas Berlok

Large eddy simulations (LES) of a lattice Boltzmann magnetohydrodynamic (LB-MHD) model are performed for the unstable magnetized Kelvin-Helmholtz jet instability. This algorithm is an extension of Ansumali et. al. (2004) to MHD in which one…

Plasma Physics · Physics 2018-01-18 Christopher Flint , George Vahala

We study the evolutionary conditions for Kelvin-Helmholtz (KH) instability in a H-alpha solar surge observed in NOAA AR 8227 on 1998 May 30. The jet with speeds in the range of 45-50 km/s, width of 7 Mm, and electron number density of 3.83…

Solar and Stellar Astrophysics · Physics 2016-01-20 I. Zhelyazkov , T. V. Zaqarashvili , R. Chandra , A. K. Srivastava , T. Mishonov

We propose a mixed quantum-classical hydrodynamic framework to model short-time inertial effects in the non-adiabatic evolution of a quantum solute coupled to a classical polar solvent. Drawing upon the work of Burghardt and Bagchi [Chem.…

Chemical Physics · Physics 2026-05-22 François Gay-Balmaz , Cesare Tronci

We analyse the analog of the Kelvin-Helmholtz instability on free suface of a superfluid liquid. This instability is induced by the relative motion of superfluid and normal components of the same liquid along the surface. The instability…

Condensed Matter · Physics 2007-05-23 S. E. Korshunov

As dust settles in a protoplanetary disk, a vertical shear develops because the dust-rich gas in the midplane orbits at a rate closer to true Keplerian than the slower-moving dust-depleted gas above and below. A classical analysis…

Astrophysics · Physics 2009-06-23 Joseph A. Barranco

Stability of the Einstein static universe versus the linear scalar, vector and tensor perturbations is investigated in the context of deformed Ho\v{r}ava-Lifshitz cosmology inspired by entropic force scenario. A general stability condition…

General Relativity and Quantum Cosmology · Physics 2017-02-14 Y. Heydarzade , M. Khodadi , F. Darabi

We report here, for the first time, an observed instability of a Kelvin-Helmholtz (KH) nature occurring in a fully three-dimensional (3D) current-vortex sheet at the fan plane of a 3D magnetic null point. The current-vortex layer forms…

Solar and Stellar Astrophysics · Physics 2013-04-09 P. F. Wyper , D. I. Pontin

We investigate the conditions at which high-mode magnetohydrodynamic (MHD) waves propagating in a spinning solar macrospicule can become unstable with respect to the Kelvin--Helmholtz instability (KHI). We consider the macrospicule as a…

Solar and Stellar Astrophysics · Physics 2019-02-12 I. Zhelyazkov , R. Chandra

The Kelvin-Helmholtz theorem on conservation of circulations is supposed to hold for ideal inviscid fluids and is believed to be play a crucial role in turbulent phenomena, such as production of dissipation by vortex line-stretching.…

Fluid Dynamics · Physics 2009-11-11 Shiyi Chen , Gregory L. Eyink , Minping Wan , Zuoli Xiao

We conduct a linear analysis of axisymmetric magnetorotational instability (MRI) in a magnetized cylindrical Taylor-Couette (TC) flow for its standard version (SMRI) with a purely axial background magnetic field and two further types --…

Fluid Dynamics · Physics 2022-06-07 A. Mishra , G. Mamatsashvili , F. Stefani

In this paper we present the results of numerical simulations of the Kelvin-Helmholtz instability in a stratified shear layer. This shear instability is believed to be responsible for extra mixing in differentially rotating stellar…

Astrophysics · Physics 2009-10-31 M. Brüggen , W. Hillebrandt

Most idealized studies of stratified shear instabilities assume that the shear interface and the buoyancy interface are coincident. We discuss the role of asymmetry on the evolution of shear instabilities. Using linear stability theory and…

Fluid Dynamics · Physics 2022-12-09 Jason Olsthoorn , Alexis K. Kaminski , Daniel M. Robb

We extend the Kreiss--Majda theory of stability of hyperbolic initial--boundary-value and shock problems to a class of systems, notably including the equations of magnetohydrodynamics (MHD), for which Majda's block structure condition does…

Analysis of PDEs · Mathematics 2007-05-23 Guy Métivier , Kevin Zumbrun