基于MPS方法的三维水滴模拟

Simulation of 3D Droplet Based on MPS Method

文中详细介绍了移动粒子半隐式法(MPS)的理论模型,该方法是一种基于Lagrange观点的数值方法。流体是由有限数量的移动粒子表示,控制方程是在粒子间相互作用模型所表示的梯度、拉普拉斯和自由表面的基础上离散而得的,不需要建立网格,因此,不受网格扭曲的影响,适合模拟带有大变形的水力学问题。同时该方法通过引入粒子数密度的概念和半隐式算法,有效地保持了流体的不可压缩性。由于该方法属于完全Lagrange描述,所以不存在因对流而形成的数值扩散。运用该方法模拟了单水滴的三维可视化效果,模拟结果真实感较强。

It introduces the moving particle semi-implicit（MPS） method and it＇s a theoretical model.It＇s a numerical method based on Lagrange point.The fluids are represented by a finite number of moving particles,governing equations are discretized based on particle interaction models representing gradient,Laplacian and free surface,do not need to establish the grid.Therefore,do not suffer grid distortion effect,suitable for the simulation on large deformation of hydraulics problems.And at the same time introduce the concept of particle number density and the semi-implicit algorithm,effectively maintain the incompressible of the fluids.The numerical diffusion derived from the convection terms does not arise because of fully Lagrangian description.With this method an example of single droplets of 3d visual effect is simulated,the simulation results are very realistic.