任意拉格朗日欧拉有限元法中的自由面网格追踪分析

摘要

本文对任意拉格朗日欧拉有限元法中的自由面网格追踪问题进行了分析.在任意拉格朗日欧拉坐标系下,用非定常不可压的Navier-Stokes方程来描述粘性带自由面流体的运动,在时间的数值积分中采用了速度修正分步法.文中提出了四种不同的自由面网格追踪方法,并对用各种方法得到的数值结果进行比较,得到了较优的追踪方法.为了验证方法的有效性,对孤立波传播进行了详细的分析.%An analysis of mesh tracing on the free surface is presented for the arbitrary LagrangianEulerian(ALE) method. The behaviour of the viscous fluid flow with a free surface is expressed by the unsteady Navier-Stokes equation. For numerical integration in time domain the velocity correction fractional step method is used. In this paper, four variations of the tracing mode are presented and the numerical results are compared with each other. To confirm the effectiveness of these modes,solitary wave propagation is analysed.