用拉格朗日法求二维带自由面流体数值解

Numerical Solutions of Fluid Flow with Free Surface by Lagrangian Finite Element Method

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 。

A finite element analysis is presented based on the Lagrangian description for unsteady incompress viscous fluid flow with a free surface. The behavior of the fluid is pressed by N S equation and the equation of continuity, and the total process is introduced as a whole. Two examples are provided not only to testify the validity of Lagrangian, but also to draw some beneficial conclusions.