Asymptotic solution for high vorticity regions in incompressible 3D Euler equations
Fluid Dynamics
2022-12-09 v3
Abstract
Incompressible 3D 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 pseudo-spectral method in anisotropic grids of up to 972 x 2048 x 4096.
Cite
@article{arxiv.1609.07782,
title = {Asymptotic solution for high vorticity regions in incompressible 3D Euler equations},
author = {D. S. Agafontsev and E. A. Kuznetsov and A. A. Mailybaev},
journal= {arXiv preprint arXiv:1609.07782},
year = {2022}
}
Comments
13 pages, 4 figures