浅水中非线性波浪传播过程的数值模拟

Numerical simulation of nonlinear wave propagating in shallow water

采用混合的欧拉 拉格朗日法计算波浪传播问题 ;用 0 1混合边界元法求解流场边界的速度势与法向速度 ;用非线性波浪自由表面边界条件的时间过程积分来推算波浪演变过程 ;并在远端辐射边界采用阻尼层数值消波技术 ,以消除远端边界对波浪的反射作用 .

The computation of nonlinear wave propagating in shallow water is the basic study of interaction between waves and ships in time domain. The mixed Eulerian Lagrangian procedure is adopted in this paper for the calculation of wave propagation. Meanwhile, the mixed 0 1 boundary element method is used to calculate the velocity potentials and their normal derivatives on the boundary. And the free surface boundary conditions are used for determining the time stepping integration of wave elevation. In addition, a damping layer or sponge layer is located at the free surface above the open boundary to absorb the wave energy. The numerical results show the nonlinear wave profile at different time. Finally, a brief analysis is done to compare the nonlinear waves and the linear waves in shallow water.