Nonlinear kink modes for supersonic vortex sheets

DOI10.1063/1.857427zbMath0663.76058OpenAlexW2053066835MaRDI QIDQ3815021

Miguel Artola, Andrew J. Majda

Publication date: 1989

Published in: Physics of Fluids A: Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.857427

zbMATH Keywords

bifurcationkink modeslarge-scale numerical simulationsnonlinear instability of supersonic vortex sheetstime-dependent asymptotic nonlinear wave theories

Mathematics Subject Classification ID

Transonic flows (76H05) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (8)

Applications of front tracking to the simulation of shock refractions and unstable mixing ⋮ Linear stability of compressible vortex sheets in two-dimensional elastodynamics ⋮ Numerical simulation of nonlinear kink instabilities on supersonic shear layers ⋮ Stability of contact discontinuities in three-dimensional compressible steady flows ⋮ Existence and stability of compressible current-vortex sheets in three-dimensional magneto\-hydrodynamics ⋮ The refined inviscid stability condition and cellular instability of viscous shock waves ⋮ Transmission of magnetosonic waves through current-vortex sheets ⋮ Structural Stability of Supersonic Contact Discontinuities in Three-Dimensional Compressible Steady Flows

Cites Work

• Nonlinear development of instabilities in supersonic vortex sheets. I. The basic kink modes
• On the disturbed motion of a plane vortex sheet
• A Theory for Spontaneous Mach Stem Formation in Reacting Shock Fronts, I. The Basic Perturbation Analysis
• A Theory for Spontaneous Mach-Stem Formation in Reacting Shock Fronts. II. Steady-Wave Bifurcations and the Evidence for Breakdown

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