Variety of unsymmetric multibranched logarithmic vortex spirals
Variety of unsymmetric multibranched logarithmic vortex spirals
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DOI：
10.1017/s0956792517000365
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发表时间：
2017-12
影响因子：
1.9
通讯作者：
V. Elling;M. V. Gnann
中科院分区：
文献类型：
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作者：
V. Elling;M. V. Gnann
在Prandtl和亚历山大工作的基础上，我们研究了二维不可压Euler方程的对数涡螺旋解。我们考虑多分支的螺旋线是不对称的，包括混合物的床单和连续涡。我们发现，非平凡的解决方案只允许片，有大量的各种各样的解决方案，但只有亚历山大螺旋与三个或更多的对称分支出现产生收敛的毕奥-萨伐尔积分。
Building on work of Prandtl and Alexander, we study logarithmic vortex spiral solutions of the two-dimensional incompressible Euler equations. We consider multi-branched spirals that are not symmetric, including mixtures of sheets and continuum vorticity. We find that non-trivial solutions allow only sheets, that there is a large variety of such solutions, but that only the Alexander spirals with three or more symmetric branches appear to yield convergent Biot–Savart integral.