Self-similar collapse of a 3D straight vortex filament model

DOI10.1080/03091920802357742OpenAlexW2112607889MaRDI QIDQ5870564

Yoshifumi Kimura

Publication date: 23 January 2023

Published in: Geophysical & Astrophysical Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03091920802357742

zbMATH Keywords

Euler's equationfinite-time singularityvortex filamentsself-similar collapse

Mathematics Subject Classification ID

General and overarching topics; collections (00-XX)

Related Items

Self-similar vortex filament motion under the non-local Biot–Savart model ⋮ Motion of open vortex-current filaments under the Biot–Savart model ⋮ Dynamics of nearly parallel interacting vortex filaments ⋮ Non-linearity depletion, elementary excitations and impulse formulation in vortex dynamics

Cites Work

• Parametric motion of complex-time singularity toward real collapse
• Locally isotropic pressure Hessian in a high-symmetry flow
• On the local topology evolution of a high-symmetry flow
• Direct numerical simulation of transition to turbulence from a high-symmetry initial condition