论文部分内容阅读
建立了基于二阶完全非线性Boussinesq水波方程的二维波浪破碎数值模型,对沙坝海岸上产生的裂流进行了数值模拟研究。首先将文献[1]中给出的一组二阶完全非线性Boussinesq方程进行扩展,在动量方程中引入紊动粘性项模拟波浪破碎引起的能量耗散,采用窄逢法处理海岸动边界问题,并考虑了混合子网格效应以及水底摩擦。然后,在矩形网格上离散控制方程,采用有限差分方法和混合四阶Adams-Bashforth-Moulton预报矫正格式建立了数值模型。应用所建立模型对一带沟槽沙坝海岸上产生裂流的实验进行数值模拟,将计算的波高、增减水、时均流速、时均流场等与实验数据进行了比较。数值结果与实验结果吻合较好,这说明建立的数值模型是准确有效的,为下一步应用该模型模拟实际海岸上的裂流提供了研究基础。
A two-dimensional numerical model of wave propagation based on the second-order completely nonlinear Boussinesq wave equation is established, and the numerical simulation of the flow generated on the coast of the sand dam is carried out. Firstly, a set of second-order completely nonlinear Boussinesq equations given in [1] are extended. In the momentum equation, turbulent viscosity term is used to simulate the energy dissipation caused by wave breaking. The boundary-moving boundary problem is treated by the narrow- And consider the hybrid sub-grid effect and underwater friction. Then, the governing equations are discretized on a rectangular grid, and a numerical model is established by using the finite difference method and the hybrid fourth-order Adams-Bashforth-Moulton forecasting correction scheme. The established model was used to simulate the experiment of the rifting on the coast of a sand bank with a groove. The calculated wave height, water increase and decrease, the mean velocity and the mean flow were compared with the experimental data. The numerical results are in good agreement with the experimental results, which shows that the numerical model established is accurate and effective, which provides the basis for further application of the model to simulate the actual shore flow.