Singularity formation in a cylindrical and a spherical vortex sheet
From MaRDI portal
Publication:5953230
DOI10.1006/jcph.2001.6872zbMath1017.76067OpenAlexW2071089358MaRDI QIDQ5953230
Publication date: 27 January 2002
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/4ee4d5611b65839284c5c85bdccb5ccf06808e47
vortex elementsaxisymmetric vortex sheetsbranch point singularitycylindrical vortex sheetsplane vortex sheetspherical vortex sheet
Vortex flows for incompressible inviscid fluids (76B47) Vortex methods applied to problems in fluid mechanics (76M23)
Related Items
Numerical simulations of inviscid capillary pinchoff, Regularized Euler-\(\alpha \) motion of an infinite array of vortex sheets, Corrected trapezoidal rule for near-singular integrals in axi-symmetric Stokes flow, On vortex-sheet evolution beyond singularity formation, Signal processing approach to mesh refinement in simulations of axisymmetric droplet dynamics, Motion of a vortex sheet on a sphere with pole vortices, Study of the long-time dynamics of a viscous vortex sheet with a fully adaptive nonstiff method, Formation of curvature singularity along vortex line in an axisymmetric, swirling vortex sheet, The nonlinear evolution of vortex sheets with surface tension in axisymmetric flows, High order quadratures for the evaluation of interfacial velocities in axi-symmetric Stokes flows, Axisymmetric contour dynamics for buoyant vortex rings, An inviscid model for vortex shedding from a deforming body, Singularity formation and nonlinear evolution of a viscous vortex sheet model, Complex singularity analysis for vortex layer flows
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Tracing complex singularities with spectral methods
- Boundary integral methods for axisymmetric and three-dimensional Rayleigh-Taylor instability problems
- Quadrature methods for periodic singular and weakly singular Fredholm integral equations
- Application of adaptive quadrature to axisymmetric vortex sheet motion
- Geometry of singularities for the steady Boussinesq equations
- Evolution of a cylindrical and a spherical vortex sheet
- Singularity formation in the shape of a vortex sheet in three dimensions-numerical simulation
- Singularity formation during Rayleigh–Taylor instability
- On singularity formation in three-dimensional vortex sheet evolution
- A study of singularity formation in a vortex sheet by the point-vortex approximation
- Singularity formation in thin jets with surface tension
- 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
- On the ‘δ-equations’ for vortex sheet evolution
- The spontaneous appearance of a singularity in the shape of an evolving vortex sheet
- Almost optimal convergence of the point vortex method for vortex sheets using numerical filtering
- Multi‐valued solutions and branch point singularities for nonlinear hyperbolic or elliptic systems
- Singularity formation in three-dimensional motion of a vortex sheet
- Axisymmetric Vortex Sheet Motion: Accurate Evaluation of the Principal Value Integral
- Computation of axisymmetric suction flow through porous media in the presence of surface tension