论文标题
谐振波相互作用近似是否与内波场的动力学一致？
Is the resonant wave interaction approximation consistent with the dynamics of internal wave fields?
论文作者
论文摘要
非线性相互作用和内部海浪的破坏负责大部分内部海洋混合，影响海洋碳的存储和全球倾覆的循环。这些相互作用也被认为决定了观察到的Garrett-Munk波能谱，经过50年的研究，该光谱仍无法解释。根据用于得出能量光谱动力学方程的共振波相互作用的近似值，主要相互作用是在波动的波形三合会之间的主要相互作用，其波形满足$ \ mathbf {k} = \ mathbf {p} $ω_ {\ Mathbf {k}} = |ω_ {\ Mathbf {p}}} \pmΩ_ {\ Mathbf {q}}} | $。为了测试共振波相互作用近似的有效性，我们检查了该理论的几个分析推导。使用理想化的直接2D数值模拟测试了每个推导的基础假设，代表了海洋内波场的接近观察到的能级。我们表明，推导基础的假设与模拟动力学不一致。此外，满足共振条件的大多数三合会在我们的仿真中没有显着促进非线性波能传递，而在非线性能量转移中占主导地位的某些相互作用并不能满足共振条件。我们还指出了文献中发现的一些派生的可能的自洽问题。
Nonlinear interaction and breaking of internal ocean waves are responsible for much of the interior ocean mixing, affecting ocean carbon storage and the global overturning circulation. These interactions are also believed to dictate the observed Garrett-Munk wave energy spectrum, which is still unexplained after 50 years of studies. According to the resonant wave interaction approximation, used to derive the kinetic equation for the energy spectrum, the dominant interactions are between wave triads whose wavevectors satisfy $\mathbf{k}=\mathbf{p}+\mathbf{q}$, and whose frequencies satisfy $ω_{\mathbf{k}}=|ω_{\mathbf{p}}\pmω_{\mathbf{q}}|$. In order to test the validity of the resonant wave interaction approximation, we examine several analytical derivations of the theory. The assumptions underlying each derivation are tested using idealized direct 2d numerical simulations, representing near-observed energy levels of the oceanic internal wave field. We show that the assumptions underlying the derivations are not consistent with the simulated dynamics. In addition, most of the triads satisfying the resonant conditions do not contribute significantly to nonlinear wave energy transfer in our simulations, while some interactions that are dominant in nonlinear energy transfers do not satisfy the resonance conditions. We also point to possible self-consistency issues with some derivations found in the literature.
