粘性液体小幅晃动常单元及线性元的分析比较

Comparison of Constant and Linear BEM Analysis for Small Viscous Fluid Sloshing

采用边界元法对容器中粘性、不可压缩液体小幅晃动进行数值分析。从二维线性化的 Navier-Stokes方程出发 ,推导了该问题分析的边界积分方程。结合边界条件建立了问题的一个边界元数值求解过程。数值处理过程中 ,利用线性元对边界进行离散 ,对角点进行了有效处理。

Linear boundary element method is used for the analysis of viscous fluid. The velocity components and the fluid mean pressure are taken as unknown functions. The comparison of linear BEM with constant BEM shows that the former presents much better precision and better convergence.