基于SPH方法的液体晃动数值模拟

采用光滑粒子流体动力学(SPH)方法模拟研究贮液容器中带有自由表面的液体晃动问题.应用密度对比法捕捉自由表面粒子,并采用边界排斥力法与镜像粒子相结合的方法处理固体边界.计算了贮液容器中粘性流体的自由晃动以及外部激励下的一阶模态晃动,得到了自由液面的波动和监测断面上的压强分布.将计算结果与理论值以及前人的实验数据对比表明,光滑粒子动力学方法作为一种无网格法,能较好地模拟带有自由液面的液体晃动问题.

Numerical Simulation of Liquid Sloshing Based on Smoothed Particle Hydrodynamics Method

An efficient smoothed particle hydrodynamics （SPH）method is used to simulate the sloshing prob-lem of a liquid-filled container with free surface.A density contrast method is used to capture the particles in the free surface;meanwhile,a method of combining boundary repulsion with mirror particles is adopted to deal with the solid boundary.A free sloshing of the viscous fluid in the liquid-filled container and a first-order model sloshing during the external excitation are computed.A distribution of pressure is got about fluctuation of the free surface.Comparing the computing results with theoretical values and predecessors’experimental data,it is shown that the SPH as a meshless method can stimulate the sloshing problem of the fluid with free surface well.