Asymptotic solution for high-vorticity regions in incompressible three-dimensional Euler equations

D. S. Agafontsev, E. A. Kuznetsov, A. A. Mailybaev

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)

Abstract

Incompressible three-dimensional Euler equations develop high vorticity in very thin pancake-like regions from generic large-scale initial conditions. In this work, we propose an exact solution of the Euler equations for the asymptotic pancake evolution. This solution combines a shear flow aligned with an asymmetric straining flow, and is characterized by a single asymmetry parameter and an arbitrary transversal vorticity profile. The analysis is based on detailed comparison with numerical simulations performed using a pseudospectral method in anisotropic grids of up to 972×2048×4096.

Original languageEnglish
Article number1
Number of pages10
JournalJournal of Fluid Mechanics
Volume813
DOIs
Publication statusPublished - 25 Feb 2017

Keywords

  • Vortex dynamics
  • Vortex flows
  • BURGERS VORTICES
  • vortex flows
  • NAVIER-STOKES EQUATIONS
  • vortex dynamics
  • DYNAMICS
  • BLOW-UP
  • FLOWS

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