关键词: ：计算机图形学, 流体模拟, 光滑粒子动力学方法, 表面张力, 粒子间相互作用力模型

Abstract: Surface tension effect at fluid-air and fluid-solid interfaces should not be ignored when
simulating fluid based on smoothed particle hydrodynamics (SPH) method, it affects the accuracy of
the simulation and visual realism. The existing surface tension models such as the continuum surface
force (CSF) model and the inter-particle interaction force (IIF) model both have their own flaws. This
paper focus on the IIF model which can causes non-physical particle clustering and the irregular
shape of fluid surface, and surface tension is modeled by an attraction-repulsion force which is
formalized by a Lennard-Jones like potential function, and a SPH tension correction term which
based on the normal difference between neighboring particles is introduced to minimize the surface
area and smooth the surface. Experimental results show that the proposed method can simulate the
surface tension effect accurately and stably.

Key words: computer graphics, fluid simulation, smoothed particle hydrodynamics method, surface
tension, inter-particle interaction force method