文档介绍：善后的数值模型能够正确模拟双频波在等水深水域的传播变形,并讨论了非线
性波波相互作用。再次,在变水深水域,利用物理模型实验验证完善后的数值模型。通过与物理模型实验值的比较,说明模型能够正确地模拟单频波和双频波在变水深水域中的传播变形。最后,数值模拟了双频波与强逆流的相互作用。数值模拟结果表明,高频波被水流阻塞,而低频波未被阻塞。
关键词: 新型 Boussinesq 型方程,双频波,非线性,波波相互作用,水流
NUMERICAL SIMULATION OF NONLINEAR WAVE-WAVE INTERACTION
ABSTRACT
We have done extensive research about a variety of phenomena in the process of wave propagation in the estuary and coastal zone, parison, the research about nonlinear wave-wave interaction is not enough. Stokes wave theory is suitable for investigating wave propagation in water with constant depth and large relative depth. Research of nonlinear wave-wave interaction in water with variable depth is rare. It is tremendously significant for studying nonlinear wave-wave interaction in the estuary and coastal zone. For example, the sum-frequency effect and difference-frequency effect caused by wave train formed by two waves with different frequencies play an important role in the stabilization of the breakwater, sediment transport on the beach and the movement of mooring ships. On the topography with a slope, two free waves with closing wave numbers and different directions can trigger edge waves. On the other hand, bound waves transfer energy to free waves, and resonant triad interaction will take place. And the phenomenon is important for the designing of structures in coastal zone and anchor chains of ships. Boussinesq-type equations are nonlinear equations, and they are powerful tools to investigate the wave propagation in the
near-shore water zone. So, the text makes use of new type Boussinesq-type equations wave model to investigate the problem of nonlinear wave-wave interaction.
Firstly, in the paper, we improve the numerical model of nonlinear wave propagation based on new type Boussinesq-type equations; so, the calculation program can run for long time. Therefore, the model can simulate wave trains propagation effectively, including monochromatic wave, then, we simulate the propagation of