Coupling of Kelvin–Helmholtz instability and buoyancy instability in a thermally laminar plasma

2011 ◽  
Vol 18 (2) ◽  
pp. 022110 ◽  
Author(s):  
Haijun Ren ◽  
Jintao Cao ◽  
Chao Dong ◽  
Zhengwei Wu ◽  
Paul K. Chu
Keyword(s):  
Helmholtz Instability ◽  
Buoyancy Instability

Simulations of the shock-driven Kelvin–Helmholtz instability in inclined gas curtains

2021 ◽  
Vol 33 (6) ◽  
pp. 064103
Author(s):  
Brian Romero ◽  
Svetlana V. Poroseva ◽  
Peter Vorobieff ◽  
Jon M. Reisner
Keyword(s):  
Helmholtz Instability

Error analysis of higher order trace finite element methods for the surface Stokes equation

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Thomas Jankuhn ◽  
Maxim A. Olshanskii ◽  
Arnold Reusken ◽  
Alexander Zhiliakov
Keyword(s):  
Finite Element ◽  
Stokes System ◽  
Parametric Representation ◽  
Higher Order ◽  
Optimal Order ◽  
Helmholtz Instability ◽  
Surface Stability ◽  
Instability Problem ◽  
Convergence Results ◽  
Optimal Order Convergence

AbstractThe paper studies a higher order unfitted finite element method for the Stokes system posed on a surface in ℝ3. The method employs parametric Pk-Pk−1 finite element pairs on tetrahedral bulk mesh to discretize the Stokes system on embedded surface. Stability and optimal order convergence results are proved. The proofs include a complete quantification of geometric errors stemming from approximate parametric representation of the surface. Numerical experiments include formal convergence studies and an example of the Kelvin--Helmholtz instability problem on the unit sphere.

Subharmonic suppression of a transverse Kelvin-Helmholtz instability

1975 ◽  
Vol 53 (1) ◽  
pp. 107-108 ◽  
Author(s):  
A.M Levine ◽  
J.F Decker
Keyword(s):  
Helmholtz Instability

Analytic structure of vortex sheet dynamics. Part 1. Kelvin–Helmholtz instability

1982 ◽  
Vol 114 (-1) ◽  
pp. 283 ◽  
Author(s):  
Daniel I. Meiron ◽  
Gregory R. Baker ◽  
Steven A. Orszag
Keyword(s):  
Vortex Sheet ◽  
Analytic Structure ◽  
Helmholtz Instability
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