四川省科技厅应用基础研究项目（重大前沿）（2015JY0280）。
基于势流理论，并结合有限单元法，研究了在流体中运动物体的附加质量。首先，通过无限域中小球及管流中作横向运动的圆柱的附加质量的计算，验证了算法的正确性。其次，着重分析了具有不同端部形状的细长圆柱体在不同直径的无限长管流中沿轴向运动时的附加质量。结果表明：在管流外半径一定的情况下，细长圆柱体的附加质量与其柱体长度成线性关系，其斜率随着圆柱与管壁间距离的减小而迅速增大；而且，当圆柱体长度远大于其直径时，其两端的形状对其附加质量影响不大。
Based on the potential theory and the finite element method, the added mass of objects moving in fluid was studied. Firstly, the added mass of a ball in the infinite domain and the added mass of a cylinder in lateral motion in a tube were calculated to verify the validation of the codes. Then the added mass for slender cylinders with different end shapes moving axially in a long tube fluid was analyzed. The results show that under a given diameter of the tube, the added mass for the slender cylinder is proportional to its length. And the slope of the linear relationship increases rapidly with the decrease of the distance between the slender cylinder and tube wall. Moreover, when the length of the cylinder is much larger than its diameter, the shapes of the cylinder ends have little influence on the added mass.
张丹,冯双双,魏晓娟,孙磊,谢凌志,魏泳涛.不同端部形状的细长圆柱体的附加质量研究[J].重庆大学学报,2016,39(5):26-33.
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