Аннотация
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.
Язык оригинала | английский |
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Номер статьи | 1 |
Число страниц | 10 |
Журнал | Journal of Fluid Mechanics |
Том | 813 |
DOI | |
Состояние | Опубликовано - 25 фев 2017 |