Singularity formation during Rayleigh–Taylor instability
From MaRDI portal
Publication:3136410
DOI10.1017/S0022112093003660zbMath0791.76027OpenAlexW2016840605MaRDI QIDQ3136410
No author found.
Publication date: 5 October 1993
Published in: Journal of Fluid Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0022112093003660
spectral filtervortex sheetasymptotic theorycurvature singularitiesAtwood ratiocomplex circulation plane
Nonlinear effects in hydrodynamic stability (76E30) Interfacial stability and instability in hydrodynamic stability (76E17) Hydrodynamic stability (76E99)
Related Items
Almost optimal convergence of the point vortex method for vortex sheets using numerical filtering ⋮ Singularities in the complex physical plane for deep water waves ⋮ Removing the stiffness from interfacial flows with surface tension ⋮ Spatial and temporal stability issues for interfacial flows with surface tension ⋮ The Rayleigh-Taylor instability for inviscid and viscous fluids ⋮ Convergence of the boundary integral method for interfacial Stokes flow ⋮ RAYLEIGH–TAYLOR INSTABILITIES IN AXI-SYMMETRIC OUTFLOW FROM A POINT SOURCE ⋮ A small-scale decomposition for 3D boundary integral computations with surface tension ⋮ Analytic structure of two 1D-transport equations with nonlocal fluxes ⋮ Regularized Euler-\(\alpha \) motion of an infinite array of vortex sheets ⋮ Computing unstable periodic waves at the interface of two inviscid fluids in uniform vertical flow ⋮ Vortex blob methods applied to interfacial motion ⋮ Existence and uniqueness of analytic solution for Rayleigh-Taylor problem ⋮ Rayleigh-Taylor and Richtmyer-Meshkov instability induced flow, turbulence, and mixing. I ⋮ Localization and spreading of contact discontinuity layers in simulations of compressible dissipationless flows. ⋮ Global existence and singularity formation for the generalized Constantin–Lax–Majda equation with dissipation: the real line vs. periodic domains ⋮ Up-wind difference approximation and singularity formation for a slow erosion model ⋮ Compressibility effects on outflows in a two-fluid system. I: Line source in cylindrical geometry ⋮ A non-stiff boundary integral method for 3D porous media flow with surface tension ⋮ Suppression of Rayleigh-Taylor instability using electric fields ⋮ A computational study of rising plane Taylor bubbles ⋮ The influence of electric fields and surface tension on Kelvin-Helmholtz instability in two-dimensional jets ⋮ Collapse versus blow-up and global existence in the generalized Constantin-Lax-Majda equation ⋮ Vortex-accelerated secondary baroclinic vorticity deposition and late-intermediate time dynamics of a two-dimensional Richtmyer–Meshkov interface ⋮ Planar Rayleigh-Taylor instabilities: outflows from a binary line-source system ⋮ Wave collapse in plasmas and fluids ⋮ Singularities in water waves and the Rayleigh–Taylor problem ⋮ On an inverse problem: recovery of non-smooth solutions to backward heat equation ⋮ A cylindrical Rayleigh-Taylor instability: radial outflow from pipes or stars ⋮ How strain and spin may make a star bi-polar ⋮ The long-time motion of vortex sheets with surface tension ⋮ The asymptotic motion of an accelerating, thick layer of inviscid liquid ⋮ Singularity formation in a cylindrical and a spherical vortex sheet ⋮ Numerical study of the primitive equations in the small viscosity regime ⋮ AXISYMMETRIC PLUMES IN VISCOUS FLUIDS ⋮ Axisymmetric contour dynamics for buoyant vortex rings ⋮ Poles and branch cuts in free surface hydrodynamics ⋮ Dynamics of poles in two-dimensional hydrodynamics with free surface: new constants of motion ⋮ Application of adaptive quadrature to axisymmetric vortex sheet motion ⋮ Singularity formation and nonlinear evolution of a viscous vortex sheet model ⋮ Complex singularity analysis for vortex layer flows ⋮ Singularity formation for complex solutions of the 3D incompressible Euler equations ⋮ The subcritical transition to turbulence of Faraday waves in miscible fluids
Cites Work
- An overview of Rayleigh-Taylor instability
- Boundary integral methods for axisymmetric and three-dimensional Rayleigh-Taylor instability problems
- Desingularization of periodic vortex sheet roll-up
- Numerical simulations of the Rayleigh-Taylor instability
- Global vortex sheet solutions of Euler equations in the plane
- A Localized Approximation Method for Vortical Flows
- The rise and distortion of a two-dimensional gas bubble in an inviscid liquid
- On the connection between thin vortex layers and vortex sheets
- A study of singularity formation in a vortex sheet by the point-vortex approximation
- Rayleigh-Taylor instability of fluid layers
- Vortex simulations of the Rayleigh–Taylor instability
- Analytic structure of vortex sheet dynamics. Part 1. Kelvin–Helmholtz instability
- A study of singularity formation in vortex-sheet motion by a spectrally accurate vortex method
- Generalized vortex methods for free-surface flow problems