期刊
JOURNAL OF FLUID MECHANICS
卷 813, 期 -, 页码 -出版社
CAMBRIDGE UNIV PRESS
DOI: 10.1017/jfm.2017.1
关键词
vortex dynamics; vortex flows
资金
- Russian Science Foundation [14-22-00174]
- CNPq [302351/2015-9]
- Program FAPERJ Pensa Rio [E-26/210.874/2014]
- Russian Science Foundation [17-22-00006] Funding Source: Russian Science Foundation
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 x 2048 x 4096.
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