Numerical Simulation of Strongly Nonlinear and Dispersive Waves Using a Green–Naghdi Model
Numerical Simulation of Strongly Nonlinear and Dispersive Waves Using a Green–Naghdi Model
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DOI：
10.1007/s10915-010-9395-9
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发表时间：
2010-04
影响因子：
2.5
通讯作者：
F. Chazel;D. Lannes;F. Marche
中科院分区：
文献类型：
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作者：
F. Chazel;D. Lannes;F. Marche
在这里，我们调查的能力，一个绿色Naghdi模型再现强非线性和色散波传播。我们特别测试的行为，新的混合有限体积和有限差分分裂方法最近开发的作者和合作者在具有挑战性的基准波传播淹没酒吧。这样的配置需要一个非常好的色散特性的模型，因为地形诱导的非线性相互作用产生的高次谐波。因此，我们从上述工作出发，选择使用具有改善的频率色散特性的新的Green-Naghdi系统。没有干燥区域也使我们能够改进方程的双曲部分的处理。这导致了非常令人满意的结果，为苛刻的基准正在考虑。
We investigate here the ability of a Green–Naghdi model to reproduce strongly nonlinear and dispersive wave propagation. We test in particular the behavior of the new hybrid finite-volume and finite-difference splitting approach recently developed by the authors and collaborators on the challenging benchmark of waves propagating over a submerged bar. Such a configuration requires a model with very good dispersive properties, because of the high-order harmonics generated by topography-induced nonlinear interactions. We thus depart from the aforementioned work and choose to use a new Green–Naghdi system with improved frequency dispersion characteristics. The absence of dry areas also allows us to improve the treatment of the hyperbolic part of the equations. This leads to very satisfying results for the demanding benchmarks under consideration.