Vortex blob methods applied to interfacial motion
From MaRDI portal
Publication:598394
DOI10.1016/j.jcp.2003.10.023zbMath1115.76380OpenAlexW2115678618MaRDI QIDQ598394
J. Thomas Beale, Gregory R. Baker
Publication date: 6 August 2004
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2003.10.023
Numerical methods for integral equations (65R20) Vortex flows for incompressible inviscid fluids (76B47) Vortex methods applied to problems in fluid mechanics (76M23)
Related Items
A line vortex in a two-fluid system ⋮ Conservative form and spurious solutions in moving boundary elements methods ⋮ RAYLEIGH–TAYLOR INSTABILITIES IN AXI-SYMMETRIC OUTFLOW FROM A POINT SOURCE ⋮ Regularized Euler-\(\alpha \) motion of an infinite array of vortex sheets ⋮ On the choice of a method for integrating the equations of motion of a set of fluid particles ⋮ Two vortex-blob regularization models for vortex sheet motion ⋮ On the role of unsteadiness in impulsive-flow-driven shear instabilities: precursors of fragmentation ⋮ Nonlinear evolution of two vortex sheets moving separately in uniform shear flows with opposite direction ⋮ A dam break driven by a moving source: a simple model for a powder snow avalanche ⋮ A multiscale model for Rayleigh-Taylor and Richtmyer-Meshkov instabilities ⋮ Numerical evidence of nonuniqueness in the evolution of vortex sheets ⋮ Complex singularity analysis for vortex layer flows
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A nonlinear approximation for vortex sheet evolution and singularity formation
- A vortex method for flows with slight density variations
- Boundary integral methods for axisymmetric and three-dimensional Rayleigh-Taylor instability problems
- High order accurate vortex methods with explicit velocity kernels
- Desingularization of periodic vortex sheet roll-up
- Numerical simulations of the Rayleigh-Taylor instability
- Simulation of Rayleigh-Taylor flows using vortex blobs
- Quadrature methods for periodic singular and weakly singular Fredholm integral equations
- Global vortex sheet solutions of Euler equations in the plane
- Vortex methods for flow simulation
- Application of adaptive quadrature to axisymmetric vortex sheet motion
- Discretization of a vortex sheet with an example of roll-up
- A Method for Computing Nearly Singular Integrals
- A convergent boundary integral method for three-dimensional water waves
- Vorticity and Incompressible Flow
- Singularity formation during Rayleigh–Taylor instability
- The rise and distortion of a two-dimensional gas bubble in an inviscid liquid
- A study of singularity formation in a vortex sheet by the point-vortex approximation
- Long time existence for a slightly perturbed vortex sheet
- Oscillations of drops in zero gravity with weak viscous effects
- Convergence of Vortex Methods for Euler’s Equations. II
- Vortex simulations of the Rayleigh–Taylor instability
- Analytic structure of vortex sheet dynamics. Part 1. Kelvin–Helmholtz instability
- Existence de Nappes de Tourbillon en Dimension Deux
- The initial value problem of a rising bubble in a two-dimensional vertical channel
- A study of singularity formation in vortex-sheet motion by a spectrally accurate vortex method
- The deformation of steep surface waves on water - I. A numerical method of computation
- The spontaneous appearance of a singularity in the shape of an evolving vortex sheet
- Singularities in the classical Rayleigh-Taylor flow: formation and subsequent motion
- The onset of chaos in vortex sheet flow
- Convergence of a Boundary Integral Method for Water Waves
- Ill-posedness of the rayleigh-taylor and helmholtz problems for incompressible fluids
- Generalized vortex methods for free-surface flow problems
- Numerical studies of surface-tension effects in nonlinear Kelvin–Helmholtz and Rayleigh–Taylor instability
- Convergence of vortex methods for weak solutions to the 2‐D euler equations with vortex sheet data
- Axisymmetric Vortex Sheet Motion: Accurate Evaluation of the Principal Value Integral
