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首页> 外文期刊>European Journal of Mechanics, B. Fluids >Frequency downshift in a viscous fluid
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Frequency downshift in a viscous fluid

机译：粘性液体中的频率下移

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摘要

In this paper, we derive a viscous generalization of the Dysthe (1979) system from the weakly viscous generalization of the Euler equations introduced by Dias et al. (2008). This "viscous Dysthe" system models the evolution of a weakly viscous, nearly monochromatic wave train on deep water. It includes only one free parameter, which can be determined empirically. It contains a term that provides a mechanism for frequency downshifting in the absence of wind and wave breaking. The system does not preserve the spectral mean. Numerical simulations demonstrate that the spectral mean typically decreases and that the spectral peak decreases for, certain initial conditions. The linear stability analysis of the plane-wave solutions of the viscous Dysthe system demonstrates that waves with frequencies closer to zero decay more slowly than waves with frequencies further from zero. Comparisons between experimental data and numerical simulations of the nonlinear Schrodinger, dissipative nonlinear Schrodinger, Dysthe, and viscous Dysthe systems establish that the viscous Dysthe system accurately models data from experiments in which frequency downshifting was observed and experiments in which frequency downshift was not observed. (C) 2016 Elsevier Masson SAS. All rights reserved.
机译：在本文中，我们从Dias等人引入的Euler方程的弱粘性泛化中得出Dysthe（1979）系统的粘性泛化。 （2008）。这个“粘稠的dysthe”系统模拟了深水中弱粘性，近乎单色的波列的演化。它仅包含一个可用参数，可以凭经验确定。它包含一个术语，该术语提供了在没有风浪破坏的情况下降低频率的机制。系统不保留频谱平均值。数值模拟表明，在某些初始条件下，光谱平均值通常会降低，而光谱峰值会降低。对粘性Dysthe系统的平面波解的线性稳定性分析表明，频率接近零的波的衰减比频率远离零的波的衰减更慢。非线性Schrodinger，耗散非线性Schrodinger，Dysthe和粘性Dysthe系统的实验数据和数值模拟之间的比较确定了粘性Dysthe系统可以准确地模拟观察到频率下降的实验和未观察到频率下降的实验的数据。 （C）2016 Elsevier Masson SAS。版权所有。

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