直接从 N-S方程和连续性方程出发 ,采用四边形元对所求区域加以划分 ;介绍了用拉格朗日有限元法求二维带自由面流体非线性数值解 ,通过实例计算 ,给出了相应结果 .在证明该方法有效性的基础上 ,讨论了粘性系数的大小对流体运动的影响 ,得出一些有益的结论 Starting from the equations of NS and continuity, the quadrilateral element is used to divide the region. The Lagrangian finite element method is introduced to solve the nonlinear two-dimensional numerical solution of the free-surface fluid. Based on the calculation of examples, Results Based on the validity of this method, the influence of the viscosity coefficient on the fluid motion is discussed, and some useful conclusions are drawn