Local Near-Beltrami Structure and Depletion of the Nonlinearity in the 3D Navier–Stokes Flows
Computational simulations of turbulent flows indicate that the regions of low dissipation/enstrophy production feature high degree of local alignment between the velocity and the vorticity, i.e., the flow is locally near-Beltrami. Hence one could envision a geometric scenario in which the persistenc...
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| Veröffentlicht in: | Journal of nonlinear science 2019-04, Vol.29 (2), p.803-812 |
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| container_title | Journal of nonlinear science |
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| creator | Farhat, Aseel Grujić, Zoran |
| description | Computational simulations of turbulent flows indicate that the regions of low dissipation/enstrophy production feature high degree of local alignment between the velocity and the vorticity, i.e., the flow is locally near-Beltrami. Hence one could envision a geometric scenario in which the persistence of the local near-Beltrami property might be consistent with a (possible) finite-time singularity formation. The goal of this note is to show that this scenario is in fact prohibited if the sine of the angle between the velocity and the vorticity is small enough with respect to the local enstrophy. |
| doi_str_mv | 10.1007/s00332-018-9504-8 |
| format | Article |
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Hence one could envision a geometric scenario in which the persistence of the local near-Beltrami property might be consistent with a (possible) finite-time singularity formation. 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| ispartof | Journal of nonlinear science, 2019-04, Vol.29 (2), p.803-812 |
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| language | eng |
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| source | Springer Nature - Complete Springer Journals |
| subjects | Analysis Classical Mechanics Computational fluid dynamics Computer simulation Depletion Economic Theory/Quantitative Economics/Mathematical Methods Mathematical and Computational Engineering Mathematical and Computational Physics Mathematics Mathematics and Statistics Theoretical Three dimensional flow Trigonometric functions Vorticity |
| title | Local Near-Beltrami Structure and Depletion of the Nonlinearity in the 3D Navier–Stokes Flows |
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