تقرير
A model of interacting Navier-Stokes singularities
| العنوان: | A model of interacting Navier-Stokes singularities |
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| المؤلفون: | Faller, H., Fery, L., Geneste, D., Dubrulle, B. |
| سنة النشر: | 2021 |
| مصطلحات موضوعية: | Physics - Fluid Dynamics, Physics - Classical Physics |
| الوصف: | We introduce a model of interacting singularities of Navier-Stokes, named pin\,cons. They follow a Hamiltonian dynamics, obtained by the condition that the velocity field around these singularities obeys locally Navier-Stokes equations. This model can be seen of a generalization of the vorton model of Novikov, that was derived for the Euler equations. When immersed in a regular field, the pin\,cons are further transported and sheared by the regular field, while applying a stress onto the regular field, that becomes dominant at a scale that is smaller than the Kolmogorov length. We apply this model to compute the motion of a dipole of pin\,cons. When the initial relative orientation of the dipole is inside the interval (0, pi/2), a dipole made of pin\,con of same intensity exhibits a transient collapse stage, following a scaling with dipole radius tending to 0 like (tc - t) power 0.63. For long time, the dynamics of the dipole is however repulsive, with both components running away from each other to infinity. Comment: 24 pages 13 figures |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.3390/e24070897 |
| URL الوصول: | http://arxiv.org/abs/2103.15732 |
| رقم الأكسشن: | edsarx.2103.15732 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.3390/e24070897 |
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