Nonlinear Evolution of the Magnetohydrodynamic Kelvin-Helmholtz Instability

1982 ◽  
Vol 49 (11) ◽  
pp. 779-782 ◽  
Author(s):  
Akira Miura
Keyword(s):  
Nonlinear Evolution ◽  
Helmholtz Instability

Nonlinear evolution of the Kelvin-Helmholtz instability in the high-latitude ionosphere

1988 ◽  
Vol 93 (A1) ◽  
pp. 137 ◽  
Author(s):  
M. J. Keskinen ◽  
H. G. Mitchell ◽  
J. A. Fedder ◽  
P. Satyanarayana ◽  
S. T. Zalesak ◽  
...  
Keyword(s):  
High Latitude ◽  
Nonlinear Evolution ◽  
Helmholtz Instability ◽  
High Latitude Ionosphere

scholarly journals Nonlinear evolution of the magnetized Kelvin-Helmholtz instability: From fluid to kinetic modeling

2013 ◽  
Vol 20 (10) ◽  
pp. 102118 ◽  
Author(s):  
P. Henri ◽  
S. S. Cerri ◽  
F. Califano ◽  
F. Pegoraro ◽  
C. Rossi ◽  
...  
Keyword(s):  
Kinetic Modeling ◽  
Nonlinear Evolution ◽  
Helmholtz Instability

Nonlinear evolution of the Kelvin-Helmholtz instability in the double current sheet configuration

2016 ◽  
Vol 23 (3) ◽  
pp. 032117 ◽  
Author(s):  
Aohua Mao ◽  
Jiquan Li ◽  
Jinyuan Liu ◽  
Yasuaki Kishimoto
Keyword(s):  
Current Sheet ◽  
Nonlinear Evolution ◽  
Helmholtz Instability

Nonlinear dispersive instabilities in Kelvin–Helmholtz MHD flows

1998 ◽  
Vol 59 (1) ◽  
pp. 27-37 ◽  
Author(s):  
M. SINGH ◽  
H. K. KHOSLA ◽  
S. K. MALIK
Keyword(s):  
Magnetic Field ◽  
Nonlinear Evolution ◽  
Second Harmonic ◽  
The Self ◽  
Helmholtz Instability ◽  
Velocity Difference ◽  
Explosive Instability ◽  
Self Focusing ◽  
Harmonic Resonance ◽  
Minimum Velocity

The nonlinear evolution of Kelvin–Helmholtz instability is examined in 2+1 dimensions in the context of magnetohydrodynamics. When the velocity difference U is less than the critical velocity Uc, the equation governing the amplitude evolves into a self-focusing singularity. The self-focusing of waves predominates at short wavelengths, is directionally dependent, and also depends sensitively on the strength of the applied magnetic field. The minimum velocity that allows the existence of self-focusing increases with increasing magnetic field strength. The explosive instability at the second-harmonic resonance is also investigated.

Numerical simulation of the excitation and evolution of coherent vortices in hollow magnetized electron columns

1999 ◽  
Vol 77 (2) ◽  
pp. 105-112
Author(s):  
M Shoucri ◽  
R Marchand
Keyword(s):  
Numerical Simulation ◽  
Finite Element ◽  
Nonlinear Evolution ◽  
Two Dimensional ◽  
Finite Element Code ◽  
Helmholtz Instability ◽  
Radial Transport ◽  
Subsequent Evolution ◽  
Azimuthal Mode ◽  
Coherent Vortices

We apply a finite-element code to study the excitation and nonlinear evolution of two-dimensional (2D) vortices in a hollow electron column using 2D guiding center equations. The perturbation (with m = 2) of the hollow column results in an instability (diocotron or Kelvin-Helmholtz instability) that evolves towards the formation of vortices (two vortices for the m = 2 perturbation). The subsequent evolution shows the nonlinear evolution of two vortices interacting to coalesce (cascading to lower azimuthal mode number), with a simultaneous radial transport toward the center of the column. PACS Nos.: 52.25.Wz, 52.65.Kj, 47.32.-y, 02.70.Dh

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