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

    16 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 numberR1
    JournalJournal of Fluid Mechanics
    Volume813
    DOIs
    Publication statusPublished - 25 Feb 2017

    Keywords

    • Vortex dynamics
    • Vortex flows

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