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Related papers: The MHD Kelvin-Helmholtz Instability: A Two-Dimens…

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We study the nonlinear evolution of the magnetic Rayleigh-Taylor instability using three-dimensional MHD simulations. We consider the idealized case of two inviscid, perfectly conducting fluids of constant density separated by a contact…

Astrophysics · Physics 2009-11-13 James M. Stone , Thomas A. Gardiner

The aim of this paper is to give a result concerning the stability properties of the solutions of magnetohydrodynamics equations at small but finite Reynolds numbers. These solutions are found using the alpha-effect: this method gives us…

Analysis of PDEs · Mathematics 2012-03-07 Ismaël Bouya

We study the linear stability of the flow of a viscous electrically conducting capillary fluid on a planar fixed plate in the presence of gravity and a uniform magnetic field. We first confirm that the Squire transformation for MHD is…

Fluid Dynamics · Physics 2017-05-24 D. Giannakis , R. Rosner , P. Fischer

We study decaying magnetohydrodynamics (MHD) turbulence stemming from the evolution of the Taylor-Green (TG) flow generalized recently to MHD, with equal viscosity and magnetic resistivity and up to equivalent grid resolutions of 2048^3…

Fluid Dynamics · Physics 2015-05-13 A. Pouquet , E. Lee , M. E. Brachet , P. D. Mininni , D. Rosenberg

We investigate conditions under which kink magnetohydrodynamic waves propagating along photospheric uniformly twisted flux tubes with axial mass flows become unstable as a consequence of the Kelvin-Helmholtz instability. We employed the…

Solar and Stellar Astrophysics · Physics 2015-06-11 I. Zhelyazkov , T. V. Zaqarashvili

Many astrophysical fluids are magnetized and turbulent. Such fluids can be often described by magnetohydrodynamics (MHD). In this review, we mainly consider MHD turbulence with a strong mean magnetic field whose energy density is greater…

High Energy Astrophysical Phenomena · Physics 2026-02-25 Jungyeon Cho

We investigate magnetohydrodynamic (MHD) turbulence in plane shear flows with a streamwise background magnetic field in the super-Alfv\'enic regime. We show that the large-scale velocity shear suppresses turbulence imbalance, driving the…

Space Physics · Physics 2026-02-17 M. Kavtaradze , G. Mamatsashvili , G. Chagelishvili , E. Uchava

To comprehensively understand saturation of two-dimensional ($2$D) magnetized Kelvin-Helmholtz-instability-driven turbulence, energy transfer analysis is extended from the traditional interaction between scales to include eigenmode…

Plasma Physics · Physics 2023-07-26 B. Tripathi , A. E. Fraser , P. W. Terry , E. G. Zweibel , M. J. Pueschel , E. H. Anders

Turbulence is the most common state of astrophysical flows. In typical astrophysical fluids, turbulence is accompanied by strong magnetic fields, which has a large impact on the dynamics of the turbulent cascade. Recently, there has been a…

Astrophysics · Physics 2011-05-10 Jungyeon Cho , A. Lazarian , Ethan Vishniac

A two-field Hamiltonian gyrofluid model for kinetic Alfv\'en waves retaining ion finite Larmor radius corrections, parallel magnetic field fluctuations and electron inertia, is used to study turbulent cascades from the MHD to the sub-ion…

Plasma Physics · Physics 2019-05-29 T. Passot , P. L. Sulem

Magnetohydrodynamical evolution of the Richtmyer-Meshkov instability (RMI) is investigated by two-dimensional MHD simulations. The RMI is suppressed by a strong magnetic field, whereas the RMI amplifies an ambient magnetic field by many…

High Energy Astrophysical Phenomena · Physics 2021-10-20 Takayoshi Sano

The Kelvin-Helmholtz instability is well-known in classical hydrodynamics, where it explains the sudden emergence of interfacial surface waves as a function of the velocity of flow parallel to the interface. It can be carried over to the…

Superconductivity · Physics 2019-02-13 V. B. Eltsov , A. Gordeev , M. Krusius

We study the 3D magnetohydrodynamics (MHD) equations in an annular cylinder, perturbed around the explicit steady state given by the 3D Taylor-Couette velocity field and zero magnetic field. Combining a recent linear instability result for…

Analysis of PDEs · Mathematics 2025-10-15 Víctor Navarro-Fernández , David Villringer

We present in this paper both a linear study and numerical relativistic MHD simulations of the non-resonant streaming instability occurring in the precursor of relativistic shocks. In the shock front restframe, we perform a linear analysis…

High Energy Astrophysical Phenomena · Physics 2015-06-15 F. Casse , A. Marcowith , R. Keppens

The dynamics of the two-dimensional (2D) state in driven tridimensional (3D) incompressible magnetohydrodynamic turbulence is investigated through high-resolution direct numerical simulations and in the presence of an external magnetic…

Solar and Stellar Astrophysics · Physics 2015-05-19 Barbara Bigot , Sebastien Galtier

The 1-D Two-Fluid Model (TFM) promises a powerful and computationally cheap platform for simulating multi-fluid flow phenomena. However, runaway Kelvin-Helmholtz instabilities plagued previous approaches, necessitating aphysical…

Fluid Dynamics · Physics 2025-09-08 Alexander López-de-Bertodano , Alejandro Clausse

We investigate long-time properties of three-dimensional MHD turbulence in the absence of forcing and examine in particular the role played by the quadratic invariants of the system and by the symmetries of the initial configurations. We…

Fluid Dynamics · Physics 2015-06-04 Joshua E. Stawarz , Annick Pouquet , Marc-Etienne Brachet

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

Magnetohydrodynamic (MHD) and two-fluid quasi-neutral equilibria with azimuthal symmetry, gravity and arbitrary ratios of (nonrelativistic) flow speed to acoustic and Alfven speeds are investigated. In the two-fluid case, the mass ratio of…

Astrophysics · Physics 2015-06-24 K. G. McClements , A. Thyagaraja

Rational large Reynolds number matched asymptotic expansions of three-dimensional nonlinear magneto-hydrodynamic (MHD) states are concerned. The nonlinear MHD states, assumed to be predominantly driven by a unidirectional shear, can be…

Fluid Dynamics · Physics 2019-05-01 Kengo Deguchi