非均匀水流中非线性波传播的数值模拟

NUMERICAL SIMULATION OF NONLINEAR WAVE PROPAGATION IN NON-UNIFORM CURRENT

以一种考虑波流相互作用的新型Boussinesq型方程为控制方程组,采用五阶Runge-Kutta-England格式离散时间积分,采用七点差分格式离散空间导数,并通过采用恰当的出流边界条件,从而建立了非均匀水流中非线性波传播的数值模拟模型.通过对均匀水流与水深水域内和潜堤地形上存在弱流或强流时波浪传播的数值模拟,说明模型能有效地反映水流对波浪传播的影响.

A numerical model is developed with a new type of Boussinesq equations with explicit consideration of currents employed as the governing equations. In the model, the seven-point finite-difference scheme is used to discretize the spatial derivatives, the fifth-order Runge-Kutta-England scheme is employed to perform the time integrations, and the appropriate outflow boundary condition is adopted. Numerical modeling of wave propagation is performed with uniform currents and depth, and submerged bars with weak or strong currents in a wave flume. The calculation results show that the numerical model can effectively reflect the effects of currents on waves.