二阶非线性水波的有限元时域计算

Calculation of Second Order Non-Linear Water Waves with Finite Element Method in Time Domain

用有限元法配合时步处理在时域范围内计算了二阶非线性水波，每一瞬时自由表面上的速度势和波高用Adams外推法和内插法获得，而流场内速度势通过求解有限元方程得到，计算采用四边形等参单元．给出了两个算例．

The FEM with time stepping is employed to compute the second order non-linear water waves in time domain. The velocity potential and wave height at every instant on the free surface are evaluated by Adams extrapolation and interpolation method, and the velocity potential in the fluid field is obtained by solving the equation with FEM and with quadrilateral isoparametric element. Two numerical examples are selected to verify the effectiveness of the method proposed. Computed time histories of wave heights have been compared with previous theoretical and experimental results, and the conformity among them is satisfactory.