论文标题
基于波数空间中恒定通量状态的湍流的集合模型
Ensemble model of turbulence based on states of constant flux in wavenumber space
论文作者
论文摘要
提出了湍流的合奏模型。该合奏由流场组成，其中无粘性保守数量的通量（例如能量（或二维流场中的endrophophy）横跨波数$ k $，是在适当范围内独立于$ k $的常数。通过蒙特卡洛法随机对恒定肠通量的二维流场进行随机采样。流场的能量光谱$ e_k $与缩放$ e_k \ propto k^{ - 3}（\ ln（k/k_ \ mathrm {b}））^{ - 1/3} $中的$ k_ \ mathrm {b} $是constant-flux范围的底部。
An ensemble model of turbulence is proposed. The ensemble consists of flow fields in which the flux of an inviscid conserved quantity, such as energy (or enstrophy in two-dimensional flow fields), across the wavenumber $k$ is a constant independent of $k$ in an appropriate range. Two-dimensional flow fields of constant enstrophy flux are sampled randomly by a Monte Carlo method. The energy spectra $E_k$ of the flow fields are consistent with the scaling $E_k \propto k^{-3}(\ln(k/k_\mathrm{b}))^{-1/3}$ where $k_\mathrm{b}$ is the bottom wavenumber of the constant-flux range.
