Applied Ocean Research ( IF 4.3 ) Pub Date : 2021-04-07 , DOI: 10.1016/j.apor.2021.102629 Junnan Cui , Sheng Dong , Zhifeng Wang
It is essential to distinguish the applicable range of theories of internal solitary waves (ISWs). Numerous numerical simulations and theoretical calculations with wide ranging thickness ratios () and amplitude parameters (), where and are the thicknesses of upper and lower layer, respectively, is the amplitude of ISW, have been conducted to compare the characteristics among the theoretical and numerical results. Six common theories of ISW, including KdV, eKdV, mKdV, MCC, KB, and KAS, are compared to optimize the theory for different thickness ratios and amplitude conditions. Through extensive theoretical calculations, a diagram of the applicable range of theories was proposed based on the ratio between the amplitude parameter to thickness ratio and the square of the long wave parameter . The diagram was validated by comparing the numerical and theoretical results. Based on the numerical data, the optimal applicable ranges of the KdV theory () and eKdV and MCC () in finite depth and specified layer thickness ratio configurations are given. For application of ISW theories, the diagram of applicable range is recommended for selecting a better theory.
中文翻译:
内孤立波理论适用性的理论和数值方法研究
区分内部孤立波(ISW)理论的适用范围至关重要。宽范围厚度比的大量数值模拟和理论计算 ()和振幅参数 (), 在哪里 和 分别是上层和下层的厚度, 是ISW的振幅,已经进行了比较以比较理论和数值结果之间的特性。比较了ISW的六种常见理论,包括KdV,eKdV,mKdV,MCC,KB和KAS,以针对不同的厚度比和振幅条件优化该理论。通过大量的理论计算,基于幅度参数之间的比率,提出了适用理论范围的图表。 厚度比 和长波参数的平方 。通过比较数值和理论结果验证了该图。根据数值数据,KdV理论的最佳适用范围()以及eKdV和MCC()在有限的深度,并给出了指定的层厚比配置。对于ISW理论的应用,建议使用适用范围图以选择更好的理论。