非线性相互作用主导的internal wave谱的一个简单模型
A simple model for an internal wave spectrum dominated by non-linear interactions
摘要:
内波段频率的海洋运动通常与自由传播的波浪有关,这种波浪由稳定的密度垂直分层支持。以前的分析表明,从比斯开湾的一年电流观测半日潮和近惯性高次谐波finestructure填充的频谱。本文提出了一个简单的非色散强迫运动模型,该模型具有前向能量级联。该模型符合高次谐波的频谱形状以及统计意义,并表明,这种相互作用意味着最大波陡强迫和湍流混合之间的平衡。单一拟合参数与正压潮流速度有关,从而对斜压流尺度设置了非线性限制,而不直接产生非线性高次谐波。
英文摘要:
Ocean motions at frequencies of the internal wave band are generally associated with freely propagating waves that are supported by stable vertical stratification in density. Previous analyses of yearlong current observations from the Bay of Biscay showed that a finestructure of semidiurnal tidal and near-inertial higher harmonics fills the spectrum. Here, a simple model is presented of forced nondispersive motions with forward energy cascade. The model fits the spectral shape of higher harmonics well within statistical significance and shows that such interactions imply maximum wave steepness in a balance between forcing and turbulent mixing. The single fitting parameter is related to the barotropic tidal flow speed, which thereby sets a nonlinear limit to baroclinic current scales without generating non-linear higher harmonics directly.
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