边界元法分析粘性液体小幅晃动

本文采用了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。在频域内考虑二维线性化Navier-Stokes方程，以问题的物理变量作为数值分析的未知函数，并推导了该问题分析的边界积分方程。自由面上的动力学条件为法向正应力和切向剪应力为零，这两个条件本身是线性的，避免了采用无粘势理论边界条件的非线性，固壁面上采用流体质点与固壁质点速度相等的条件，在数值计算过程中，结合有限差分法对边界条件进行了处理，由此建立了问题的一个边界元数值求解过程。

Boundary Element Method for Small-amplitude Viscous Fluid Sloshing

By using the boundary element method the numerical computation was carried out for the small-amplitude sloshing of a viscous, incompressible fluid in two-dimensional space . The linearized Navier-Stokes equations were considered in frequency domain and transformed into boundary integral equations. Appropriate boundary conditions for the free surface and the walls of the container were considered. The unknown functions to be solved directly with the fluid mean pressure and fluid particle velocities.