自由表面流动数值模拟方法的探讨

On the numerical simulation of fluid flows with a free-surface

本文建立和开发了一个用于求解具有自由表面的二维不可压缩粘性流体流动的Navier- Stokes方程组的数值模型。这个模型采用 AL E方法描述流体的运动 ,基本方程组中的流速和压力利用 Projection2方法来解耦 ,空间离散采用有限单元法 ,而时间离散则采用 semi-implicit方法。自由表面位置则通过求解相应的偏微分方程来确定 ,而计算过程中网格的调整则采用了新的方法。算例结果令人满意 ,表明方法可行。

WT5”BZ]A new model to simulate fluid flows with a free surface was developed. The model was based on the Navier Stokes equations of two dimensional unsteady incompressible viscous flow in the arbitrary Lagrangian Eulerian (ALE) formulation with projection 2 method to decouple the velocity and the pressure. The equations were dicretized by using the finite element technique in space and the semi implicit scheme in time. The position of the free surface was determined by solving a differential equation which describes its motion. For the adaptation of the mesh during the calculation a new rezoning method was developed. An example showed that calculation results is satisfactory and indicated the success of the presented model. [WT5HZ]