燕山大学学报2026，Vol.50Issue(3)：250-257,8.DOI:10.3969/j.issn.1007-791X.2026.03.007
基于物质点法的流体仿真体积耗散补偿
Compensating volume dissipation in fluid simulation using material point method
摘要
Abstract
In order to solve the serious volume loss problem of the existing material point method in fluid simulation,a fluid volume compensation method is proposed.Firstly,for the high computational quantity of incompressible constraints of fluid,the stress model and stress term calculation are simplified to avoid the complex Poisson equation solving,and to improve the efficiency of the algorithm.Secondly,to improve the accuracy of fluid volume computation,often affected by Lagrange grid-based methods,a grid-filling approach is employed to approximate fluid volume with greater precision.Finally,for the problem of inhomogeneous particle density distribution in the uniform weight density field,the density field is constructed using non-uniform weight interpolation to weaken the effect of particle edge aggregation and optimize the particle distribution,and the virtual volume is applied to the material points according to the degree of density field anomaly to achieve the volume loss compensation,which effectively reduces the volume dissipation in the fluid simulation.Experimental results show that the volume dissipation in fluid simulation can be effectively reduced without introducing additional computational effort.关键词
流体仿真/物质点法/体积耗散/体积补偿Key words
fluid simulation/material point method/volume dissipation/volume compensation分类
信息技术与安全科学引用本文复制引用
刘宇涵,于凯,张沛,张书慧,赵静,唐勇..基于物质点法的流体仿真体积耗散补偿[J].燕山大学学报,2026,50(3):250-257,8.基金项目
国家自然科学基金资助项目(61902340) （61902340）
河北省省级科技计划资助项目(246Z0105G) （246Z0105G）
河北省创新能力提升计划项目(22567624H) （22567624H）
