Oceanic Internal-Wave Field: Theory of Scale-Invariant Spectra
Oceanic Internal-Wave Field: Theory of Scale-Invariant Spectra
复制标题
海洋内波场：尺度不变谱理论
DOI：
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发表时间：
2005
期刊：
影响因子：
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通讯作者：
N. Yokoyama
中科院分区：
文献类型：
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作者：
Y. Lvov;K. Polzin;E. Tabak;N. Yokoyama
摘要 基于波浪湍流理论，研究了描述海洋内部重力波统计的动力学方程的稳态尺度不变解。在非旋转尺度不变极限下，动力学方程中的碰撞积分对于几乎所有谱幂律指数都发散。这些发散来自于具有极端尺度分离的最小水平波数和/或最大水平波数的共振相互作用。确定一个小域，其中尺度不变碰撞积分收敛，并在数值上找到收敛的幂律解。该数值解接近 Garrett-Munk 谱。研究了可能实现红外和紫外发散之间平衡的幂律指数。平衡指数是尺度不变动力学方程（Pelinovsky-Raevsky 谱）精确解的推广。一个小但有限的科里奥利参数，代表效果...
Abstract Steady scale-invariant solutions of a kinetic equation describing the statistics of oceanic internal gravity waves based on wave turbulence theory are investigated. It is shown in the nonrotating scale-invariant limit that the collision integral in the kinetic equation diverges for almost all spectral power-law exponents. These divergences come from resonant interactions with the smallest horizontal wavenumbers and/or the largest horizontal wavenumbers with extreme scale separations. A small domain is identified in which the scale-invariant collision integral converges and numerically find a convergent power-law solution. This numerical solution is close to the Garrett–Munk spectrum. Power-law exponents that potentially permit a balance between the infrared and ultraviolet divergences are investigated. The balanced exponents are generalizations of an exact solution of the scale-invariant kinetic equation, the Pelinovsky–Raevsky spectrum. A small but finite Coriolis parameter representing the effe...