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在Casulli提出的半隐式有限差分方法的基础上,通过改进底摩擦力公式以避免在超浅水域底摩擦项过大的缺点,对底摩擦项进行线性化处理以获得隐式效果,对平流项采用适当的差分格式以减小假扩散及对活动边界引入误差的传播,采用高效的选代格式提高运算速度,建立了适合于近岸浅海的潮流数值模型。该模型有良好的稳定性,计算时间步长不受CFL条件的限制。在防城港的潮流模拟中,模型的验证结果良好。
Based on the semi-implicit finite difference method proposed by Casulli, the bottom friction coefficient is linearized to improve the bottom friction coefficient to avoid the disadvantage of too much friction at the bottom in ultra-shallow waters. The appropriate difference scheme is adopted to reduce the spurious diffusion and the propagation of error introduced into the active boundary. An efficient alternative generation method is used to improve the computing speed and a numerical model suitable for the coastal shallow sea is established. The model has good stability and the calculation of time step is not limited by the CFL conditions. In the trend simulation of Fangchenggang, the model verification results are good.