基于任意欧拉-拉格朗日有限元法的波浪和结构物相互作用数值模拟

摘要

应用任意拉格朗日-欧拉有限元法分析二维波浪和结构物相互作用问题,用分步有限元法求解自由表面边界的N-S方程以获得流场内的速度和压力分布,采用VRZ方法来吸收反射波.数值算例包括水池内初始自由表面波的自由振荡、水池造波、孤立波在台阶上的传播、孤立波和位于水面上的方形物作用以及半圆柱在自由表面的强迫震荡问题,部分计算结果和分析解、势流非线性解以及实验值作了对比.%The ALE arbitrary Lagrangian-Eulerian (ALE) finite element method is employed to analyze interactions between waves and structures in two-dimensions and the fractional step method is used to solve Navier-Stokes equation with free surface flow to obtain pressure and velocity in the fluid domain.The velocity reduction zone method is employed to absorb the reflected wave.Numerical cases including free oscillation of wave with an initial free surface,a wave making problem,solitary wave propagation over a step,solitary wave interactions with a rectangular cylinder on free surface and oscillations of a rectangular cylinder on free surface are simulated.Comparisons are made with analytic solutions,experimental results and fully nonlinear solutions by the potential theory.