Numerical analysis of weakly nonlinear wave turbulence

机译：弱非线性波湍流的数值分析

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We consider the propagation of weakly nonlinear waves such as plasma waves, surface water waves, the interaction of laser beams with matter, particle accelerators, etc. Specifically, we study internal waves in the ocean. Hamilton's principle is used to write the fluid equations in Hamiltonian form in terms of linear eigenmode amplitudes. Numerical studies are made of the effect of Fourier grid size and resonance widths. Statistical information is generated from an ensemble of initial states of the random wave field.

机译：我们考虑了弱非线性波的传播，例如等离子波，地表水波，激光束与物质的相互作用，粒子加速器等。具体而言，我们研究了海洋中的内部波。汉密尔顿原理用于根据线性本征模振幅以汉密尔顿形式编写流体方程。对Fourier网格尺寸和共振宽度的影响进行了数值研究。统计信息是从随机波场的初始状态集合中生成的。

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期刊名称 Proceedings of the National Academy of Sciences of the United States of America
作者
James D. Meiss; Neil Pomphrey; Kenneth M. Watson;
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年(卷),期 1979(76),5
年度 1979
页码 2109–2113
总页数 5
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1. Imbalanced kinetic Alfvén wave turbulence: from weak turbulence theory to nonlinear diffusion models for the strong regime [J] . T.Passot, P. L.Sulem Journal of Plasma Physics . 2019,第3期

机译：Imbalanced动力学Alfvén波湍流：从弱湍流理论到强大政权的非线性扩散模型
2. Numerical modeling of 3D weak turbulence driven by high-power VLF pump waves in the topside ionosphere [J] . Galinsky V.L., Shevchenko V.I., Mishin E.V., Geophysical Research Letters . 2011,第16期

机译：高功率电离层泵浦波在顶电离层驱动的3D弱湍流数值模拟
3. Effect of RANS-based turbulence models on nonlinear wave generation in a two-phase numerical wave tank [J] . Ahmed Elhanafi, Alan Fleming, Zhi Leong, Progress in computational fluid dynamics . 2017,第3期

机译：基于RANS的湍流模型对两相数值波箱中非线性波产生的影响
4. Interaction of turbulence with shock waves: mean-field theory and a weak-linearization analysis [C] . X. Ao, G. P. Zank International IGPP Conference . 2007

机译：湍流与冲击波的相互作用：叶片场理论与弱线性化分析
5. Numerical simulation of a weakly nonlinear model for water waves with viscosity. [D] . Kakleas, Maria. 2009

机译：粘性水波的弱非线性模型的数值模拟。
6. Experimental and Numerical Study of Nonlinear Lamb Waves of a Low-Frequency S0 Mode in Plates with Quadratic Nonlinearity [O] . Xiangyan Ding, Youxuan Zhao, Ning Hu, 2018

机译：二次非线性板中低频S0模非线性兰姆波的实验和数值研究
7. Numerical analysis of weakly nonlinear wave turbulence [O] . Meiss, James D., Pomphrey, Neil, Watson, Kenneth M. 1979

机译：弱非线性波湍流的数值分析
8. Numerical Analysis of Weakly Nonlinear Wave Turbulence (Hamilton's Principle, Wave-Wave Interactions, Oceanic Internal Waves, Relaxation Phenomena, Statistical Mechanics). [R] . Meiss, J. D., Pomphrey, N., Watson, K. M. 1979

机译：弱非线性波湍流的数值分析（Hamilton原理，波浪相互作用，海洋内波，弛豫现象，统计力学）。

Numerical analysis of weakly nonlinear wave turbulence

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