On wave–current interaction by the Green–Naghdi equations in shallow water
On wave–current interaction by the Green–Naghdi equations in shallow water
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DOI：
10.1007/s11069-016-2464-0
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发表时间：
2016-08
期刊：
影响因子：
3.7
通讯作者：
W. Duan;K. Zheng;B. Zhao;Z. Demirbilek;R. Ertekin;W. Webster
中科院分区：
文献类型：
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作者：
W. Duan;K. Zheng;B. Zhao;Z. Demirbilek;R. Ertekin;W. Webster
本文利用Green-Naghdi（GN）非线性波动方程模拟浅水波流相互作用。在造波机边界采用流函数波理论生成非线性入射波，以考虑波流相互作用。非线性GN方程在时域内用有限差分法求解。该模型进行了评估，从三个实验研究的数据。在第一个测试案例中，研究了淹没酒吧上方的强逆流。在第二个测试情况下，波的相互作用与均匀流在平底。在第三种情况下，波流相互作用的变量水深以下和相反的电流进行了研究。将GN方程的计算结果与实验数据和基于Boussinesq方程的计算结果进行了比较。一个很好的协议，得到了广泛的波和电流条件下考虑的三个实验研究。
This work is on the use of the Green–Naghdi (GN) nonlinear wave equations for simulating wave–current interaction in shallow water. The stream-function wave theory is used at the wave-maker boundary to generate nonlinear incident waves to consider the wave–current interaction. The nonlinear GN equations are solved in the time domain by use of the finite-difference method. The model is evaluated with data from three experimental studies. A strong opposing current over a submerged bar is investigated in the first test case. In the second test case, the interaction of waves with a uniform current over flat bottom is considered. In the third case, wave–current interaction over a variable bathymetry with the following and opposing currents is studied. The numerical results obtained by the GN equations are compared with the experimental data and results based on the Boussinesq equations. A good agreement is obtained for the three experimental studies considered for a wide range of wave and current conditions.