Singularity formation in three-dimensional inviscid flow
- 1 August 1991
- journal article
- Published by IOP Publishing in Fluid Dynamics Research
- Vol. 7 (5-6) , 229-240
- https://doi.org/10.1016/0169-5983(91)90016-c
Abstract
A phenomenological model to explain finite time singularity formation in a three-dimensional inviscid vorticity field is given. The thin filament approximation for a vorticity field is used, and the model is based on the three-dimensional interaction of two approximately straight vortex filaments. It is shown that the model has a solution which exhibits finite time singularity formation in a vorticity field.Keywords
This publication has 11 references indexed in Scilit:
- Collapsing solutions to the 3-D Euler equationsPhysics of Fluids A: Fluid Dynamics, 1990
- Interaction and "apparent" reconnection of 3D vortex tubes via direct numerical simulationsFluid Dynamics Research, 1988
- Reconnection of vortex tubesFluid Dynamics Research, 1988
- Vortex dynamics and the existence of solutions to the Navier–Stokes equationsPhysics of Fluids, 1987
- Incipient singularities in the Navier-Stokes equationsPhysical Review Letters, 1985
- Collapse and amplification of a vortex filamentPhysics of Fluids, 1985
- Remarks on the breakdown of smooth solutions for the 3-D Euler equationsCommunications in Mathematical Physics, 1984
- Small-scale structure of the Taylor–Green vortexJournal of Fluid Mechanics, 1983
- Dynamics of vorticityJournal of Fluid Mechanics, 1981
- Spontaneous Singularity in Three-Dimensional Inviscid, Incompressible FlowPhysical Review Letters, 1980