涡面动力学和turbulence
Vortex sheet dynamics and turbulence
摘要：
由Kelvin-Helmholtz不稳定性驱动的涡面的非线性演化的特征在于具有复杂的拉伸和强度图案的螺旋的形成。我们表明，单个二维涡面的功率能谱趋于通常的流体湍流谱，指数为-3。利用数值模拟和渐近方法，我们证明了这个幂律和奇异性的几何形状和涡量分布片之间的关系。
英文摘要：
The nonlinear evolution of a vortex sheet driven by the Kelvin--Helmholtz instability is characterized by the formation of a spiral possessing complex stretching and intensity patterns. We show that the power energy spectrum of a single two-dimensional vortex sheet tends to the usual fluid turbulent spectrum, with an exponent of -3. Using numerical simulations and asymptotic methods, we demonstrate the relation between this power law and the singularities in the geometry and vorticity distribution of the sheet.
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