中文摘要：

对于部分充液箱体中液体小幅晃动问题，自由液面处的黏性耗散是总阻尼的重要组成部分。影响液体晃动阻尼的因素很多，导致阻尼计算的精度有限，为了提高阻尼的计算精度，提出了一种基于流体体积组分方法的阻尼计算方法。采用该方法求解阻尼时，可以满足所有壁面的黏性无滑移条件，计算出具体的阻力值而不是一个范围。运用该方法的阻尼计算结果与已发表的试验结果更加吻合，特别是在液高比h／R〈1时。

英文摘要：

For small-amplitude liquid sloshing, the viscous damping near the free surface is an important part of the whole damping in partly filled liquid container. The damping is affected by many factors and is difficult to calculate with a reasonable accuracy. In order to compute the damping in partly filled rigid circular cylinder more reliably, a volume of fluid method based on finite volume method is used. It is difficult to compute damping precisely through numerical computation based on Stokes equations, in which the adhesion wall boundary condition can not be simultaneously satisfied at both the bottom wall and side wall. The damping computation discrepancy of this method based on Stokes equations depends on the liquid height ratio, h/R, where h is the liquid height and R is the radius of the cylindrical container. The present method maintains all the wall boundary conditions, both side wall and bottom wall, with no slip conditions and can give an exact damping value instead of an estimation range. The simulation damping results show a better agreement with the published experimental data, especially for liquid height ratio h/R 〈 1.