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We performed numerical simulations with the PLUTO code in order to analyze the non-linear behavior of the Kelvin-Helmholtz instability in non-magnetized relativistic fluids. The relevance of the instability at the cosmological QCD phase…

Cosmology and Nongalactic Astrophysics · Physics 2018-04-11 V. R. C. Mourão Roque , G. Lugones

We investigate the Kelvin-Helmholtz instability occuring at the interface of a shear flow configuration in 2D compressible magnetohydrodynamics (MHD). The linear growth and the subsequent non-linear saturation of the instability are studied…

Astrophysics · Physics 2009-10-31 R. Keppens , G. Toth , R. H. J. Westermann , J. P. Goedbloed

We present a study of the Kelvin-Helmholtz instability in a weakly ionised, multifluid MHD plasma with parameters matching those of a typical molecular cloud. The instability is capable of transforming well-ordered flows into disordered…

Astrophysics of Galaxies · Physics 2015-06-03 A. C. Jones , T. P. Downes

We adapt a modern scheme of smoothed particle hydrodynamics (SPH) to our tree N-body/SPH galactic chemodynamics code GCD+. The applied scheme includes imple- mentations of the artificial viscosity switch and artificial thermal conductivity…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-13 Daisuke Kawata , Takashi Okamoto , Brad K. Gibson , David J. Barnes , Renyue Cen

We present the extension of the differentiable hydrodynamics code, diffhydro, enabling scalable PDE-constrained inference and integrated hybrid physics-ML models for a wide range of astrophysical applications. New physics additions include…

Instrumentation and Methods for Astrophysics · Physics 2025-12-16 Benjamin Horowitz , Zarija Lukić , Kentaro Nagamine , Yuri Oku

We extend the Kelvin-Helmholtz instability to an expanding background. We study the evolution of a non-viscous irrotational fluid and find that for wavelengths much smaller than the Hubble scale small perturbations of the fluid are unstable…

Astrophysics · Physics 2009-11-07 Karim A. Malik , David R. Matravers

We perform a suite of two- and three-dimensional magnetohydrodynamic (MHD) simulations with the Athena code of the non-driven Kelvin-Helmholtz instability in the subsonic, weak magnetic field limit. Focusing the analysis on the non-linear…

High Energy Astrophysical Phenomena · Physics 2015-06-15 Greg Salvesen , Kris Beckwith , Jacob B. Simon , Sean M. O'Neill , Mitchell C. Begelman

In light of the recent detection of direct evidence for the formation of Kelvin-Helmholtz instabilities in the Orion nebula, we expand upon previous modelling efforts by numerically simulating the shear-flow driven gas and dust dynamics in…

Astrophysics of Galaxies · Physics 2015-03-11 T. Hendrix , R. Keppens , P. Camps

In this paper, we present an analysis of the Kelvin-Helmholtz instability in two-dimensional ideal compressible elastic flows, providing a rigorous confirmation that weak elasticity has a destabilizing effect on the Kelvin-Helmholtz…

Analysis of PDEs · Mathematics 2024-09-30 Binqiang Xie , Boling Guo , Bin Zhao

The KelvinHelmholtz (KH) instability is a fundamental wave instability that is frequently observed in all kinds of shear layer (jets, wakes, atmospheric air currents etc). The study of KH-instability, coherent flow structures has a major…

Computational Engineering, Finance, and Science · Computer Science 2015-03-29 Santosh Tirunagari

The susceptibility of timestepping algorithms to numerical instabilities is an important consideration when simulating partial differential equations (PDEs). Here we identify and analyze a pernicious numerical instability arising in…

Numerical Analysis · Mathematics 2025-03-28 Benjamin A. Hyatt , Daniel Lecoanet , Evan H. Anders , Keaton J. Burns

The nonlinear evolution of collisionless plasmas is typically a multi-scale process where the energy is injected at large, fluid scales and dissipated at small, kinetic scales. Accurately modelling the global evolution requires to take into…

The modelling of astrophysical systems such as binary neutron star mergers or the formation of magnetars from the collapse of massive stars involves the numerical evolution of magnetised fluids at extremely large Reynolds numbers. This is a…

High Energy Astrophysical Phenomena · Physics 2023-10-20 Miquel Miravet-Tenés , Pablo Cerdá-Durán , Martin Obergaulinger , José A. Font

Fluid instabilities arise in a variety of contexts and are often unwanted results of engineering imperfections. In one particular model for a magnetized target fusion reactor, a pressure wave is propagated in a cylindrical annulus comprised…

Fluid Dynamics · Physics 2017-04-26 Michael Lindstrom

The origin of hydrodynamical instability and turbulence in the Keplerian accretion disk is a long-standing puzzle. The flow therein is linearly stable. Here we explore the evolution of perturbation in this flow in the presence of an…

High Energy Astrophysical Phenomena · Physics 2021-11-18 Subham Ghosh , Banibrata Mukhopadhyay

We have carried out high resolution MHD simulations of the nonlinear evolution of Kelvin-Helmholtz unstable flows in 2 1/2 dimensions. The modeled flows and fields were initially uniform except for a thin shear layer with a hyperbolic…

Astrophysics · Physics 2009-10-30 T. W. Jones , Joseph B. Gaalaas , Dongsu Ryu , Adam Frank

We present a numerical investigation of three-dimensional, short-wavelength linear instabilities in Kelvin-Helmholtz (KH) vortices in homogeneous and stratified environments. The base flow, generated using two-dimensional numerical…

Fluid Dynamics · Physics 2022-11-28 H. M. Aravind , Manikandan Mathur , Thomas Dubos

Kelvin-Helmholtz instability (KHI) is widely spread in nature on scales from micrometer up to Galactic one. This instability refers to the growth of perturbation of an interface between two parallel streams of Newtonian fluids with…

Fluid Dynamics · Physics 2021-09-15 Narsing K. Jha , Victor Steinberg

This paper provides the first study of a new dynamical instability in superfluids. This instability is similar to the two-stream instability known to operate in plasmas. It is analogous to the Kelvin-Helmholtz instability, but has the…

Astrophysics · Physics 2007-05-23 N. Andersson , G. L. Comer , R. Prix

In this paper, we prove the linear and nonlinear ill-posedness of the well-known Kelvin-Helmholtz problem of the incompressible ideal magnetohydrodynamics (MHD) equations with transverse magnetic field. Our proof rigorously verifies that…

Analysis of PDEs · Mathematics 2025-05-07 Binqiang Xie , Boling Guo , Bin Zhao