论文标题
一维自由衰减的二维湍流模型
One-dimensional model of freely decaying two-dimensional turbulence
论文作者
论文摘要
我们为二维湍流构建了离散的壳模型，该模型考虑了傅立叶空间中速度模式之间的局部和非局部相互作用。在实际空间中，其连续极限由一维汉堡方程描述。我们发现了这种方程式的新型近似缩放解决方案，并表明它很好地描述了能量光谱的主要特征，在完全发达的，自由腐烂的二维湍流中。
We construct a discrete shell-model for two-dimensional turbulence that takes into account local and nonlocal interactions between velocity modes in Fourier space. In real space, its continuous limit is described by the one-dimensional Burgers equation. We find a novel approximate scaling solution of such an equation and show that it well describes the main characteristics of the energy spectrum in fully developed, freely decaying two-dimensional turbulence.
