二维turbulence逆叶栅的广义涡模型
Generalized vortex-model for the inverse cascade of two-dimensional turbulence
摘要：
本文将二维流体运动的Kirchhoff点涡模型推广到转子模型，转子模型通过转子簇的形成表现出逆叶栅。转子由两个具有相同符号环流的涡组成，它们通过过阻尼弹簧粘合在一起。该模型的动机是治疗的涡度方程表示的涡度场的叠加与椭圆高斯形状的可变宽度的涡，增加了一个合适的强制机制。转子模型的建立为从动力系统理论出发讨论逆叶栅中的能量输运问题开辟了新的途径。
英文摘要：
We generalize Kirchhoff's point vortex model of two-dimensional fluid motion to a rotor model which exhibits an inverse cascade by the formation of rotor clusters. A rotor is composed of two vortices with like-signed circulations glued together by an overdamped spring. The model is motivated by a treatment of the vorticity equation representing the vorticity field as a superposition of vortices with elliptic Gaussian shapes of variable widths, augmented by a suitable forcing mechanism. The rotor model opens up the way to discuss the energy transport in the inverse cascade on the basis of dynamical systems theory.
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