表面重力波湍流中的科尔莫戈罗夫尺度
Kolmogorov scale in turbulence of surface gravity waves
- University of Michigan（密歇根大学）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本文通过数值模拟研究表面重力波湍流中科尔莫戈罗夫尺度（截止波数$k_c$）与耗散强度的标度关系，发现$k_c\sim\gamma_0^{\beta}$，且$\beta$由平衡非线性与耗散项预测，表明非共振三波相互作用主导$k_c$形成。
AI中文摘要：
本文研究了表面重力波湍流中科尔莫戈罗夫尺度的类比，其特征为截止波数$k_c$，在该波数处幂律惯性区间过渡到耗散区间。我们对原始动力学方程进行数值模拟，在谱空间中引入幅度为$\gamma_0 k^2$的宽尺度耗散，以建立$k_c$与$\gamma_0$之间的关系。我们的结果显示标度关系$k_c\sim\gamma_0^{\beta}$，其中$\beta$依赖于幂律谱的斜率$\alpha$。我们发现$\beta(\alpha)$与通过平衡动力学方程中非线性和耗散项所得预测更为吻合，而非基于动力学方程的预测。这一观察揭示，在$k_c$的形成中，非共振三波相互作用比共振四波相互作用发挥更显著的作用。
英文摘要：
In this paper, we study the analogue of the Kolmogorov scale in surface gravity wave turbulence, characterized by the cutoff wavenumber $k_c$ at which the power-law inertial range transitions into the dissipation range. We perform numerical simulations of the primitive dynamical equations with a broad-scale dissipation of magnitude $γ_0 k^2$ in spectral space to establish the relation between $k_c$ and $γ_0$. Our results show a scaling $k_c\simγ_0^β$, where $β$ depends on the slope $α$ of the power-law spectrum. We find that $β(α)$ agrees more closely with the prediction obtained by balancing the nonlinear and dissipation terms in the dynamical equations than with that based on the kinetic equation. This observation reveals that non-resonant triad interactions play a more significant role than resonant quartet interactions in the formation of $k_c$.
