渤海潮波系统的数值模拟

Numerical modeling of tidal waves in Bohai Sea and Huanghai Sea

利用二维非线性潮波方程组,讨论了渤黄海主要分潮(全日潮、半日潮及浅水分潮) 数值模拟中的有关问题。数值模拟中同时考虑了4个主要分潮(M2,S2,K1,O1)和两个浅水分潮(M4,MS4)。分析表明,在渤黄海潮波系统数值模拟中,稳定后选取14 d的数值模拟结果进行调和分析能够取得最佳(最合理)的调和分析结果。计算出调和常数的模拟值与实测值之差的绝对平均值:M2分潮的振幅差为4cm,迟角差为3.3°,S2分潮的振幅差为2cm,迟角差为4.2°,K1 分潮的振幅差为1cm,迟角差为3.7°,O1分潮的振幅差为2 cm,迟角差为5.5°。实验结果较好地体现了渤黄海潮波系统的特征。

By applying two dimensional tidal equations, problems in tidal simulation of Bohai Sea and Huanghai Sea have been solved. The simulation process contains four major constituents (M2, S2, K1, O1) and two shallow water constituents (M4, MS4). The analysis shews that in the tidal simulation, the harmonic analysis of 14 day results upon stability yielded the best (the most reasonable) harmonic results. The averaged absolute differences between the simulated and observed are as follows. For M2 tide, the averaged absolute difference of the amplitude is 4 cm and the averaged absolute difference of the phase-lag is 3. 3° For S2 tide, they are 2 cm and 4.2°. K1 tide gives 1 cm and 3. 7°. And O1 tide gives 2 cm and 5.5°. The results in the numerical simulation coincided with the tides observed in the areas.