Finite time singularities in ideal fluids with swirl

DOI10.1016/0167-2789(95)00197-CzbMath0899.76286OpenAlexW2063648612MaRDI QIDQ1899921

Thomas C. Sideris, Rainer Grauer

Publication date: 11 October 1995

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(95)00197-c

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Finite difference methods applied to problems in fluid mechanics (76M20)

Related Items (10)

Adaptive mesh refinement for singular current sheets in incompressible magnetohydrodynamic flows ⋮ On the Lagrangian dynamics for the 3D incompressible Euler equations ⋮ Energy concentrations and type I blow-up for the 3D Euler equations ⋮ Evidence for the development of singularities in Euler flow ⋮ On blow-up of solution for Euler equations ⋮ An efficient dynamically adaptive mesh for potentially singular solutions ⋮ Vorticity amplification in incompressible ideal swirling flow without a boundary ⋮ Is concentrated vorticity that important? ⋮ Removing type II singularities off the axis for the three dimensional axisymmetric Euler equations ⋮ Blow-up in a modified Constantin-Lax-Majda model for the vorticity equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Multidimensional upwind methods for hyperbolic conservation laws
• Remarks on the breakdown of smooth solutions for the 3-D Euler equations
• The evolution of a turbulent vortex
• Vorticity intensification and transition to turbulence in the three- dimensional Euler equations
• A second-order projection method for variable-density flows
• Singularity formation for complex solutions of the 3D incompressible Euler equations
• A second-order projection method for the incompressible Navier-Stokes equations
• Nonstationary flows of viscous and ideal fluids in \(R^3\)
• Structure and dynamics of homogeneous turbulence: models and simulations
• Collapsing solutions to the 3-D Euler equations
• Small-scale structure of the Taylor–Green vortex
• Collapse and amplification of a vortex filament
• Reconnection in orthogonally interacting vortex tubes: Direct numerical simulations and quantifications
• Development of singular solutions to the axisymmetric Euler equations
• Numerical evidence of smooth self-similar dynamics and possibility of subsequent collapse for three-dimensional ideal flows
• The Methods of Cyclic Reduction, Fourier Analysis and the FACR Algorithm for the Discrete Solution of Poisson’s Equation on a Rectangle
• A simple dynamical model of intermittent fully developed turbulence
• Evidence for a singularity of the three-dimensional, incompressible Euler equations
• Spontaneous Singularity in Three-Dimensional Inviscid, Incompressible Flow
• Small-scale structures in Boussinesq convection

This page was built for publication: Finite time singularities in ideal fluids with swirl