基于SPH及形状约束的粘弹性流体的实时模拟

Speed up the Real-time Simulation for Viscoelastic Fluid Based-on SPH and Shape Constrain

模拟粘弹性流体时由于求解Navier-Stokes(NS)方程的粘弹性项或模型复杂很难实现实时性模拟.在基于Smoothed Particle Hydrodynamics(SPH)粒子模拟流体的基础上,利用形状约束算法控制粒子的运动规律保持流体形状从而实现粘性的效果,因此避免了传统方法中的复杂求解过程,达到了高效快速的模拟效果;通过对求得的流体和固体的速度进行线性插值得到最后的速度,有效的保留了各自的运动属性,调节插值系数可以快速实现介于流体和弹性固体之间不同粘度流体的模拟.试验表明:此方法能够近似模拟出粘弹性流体的运动,包括牛顿流体的飞溅和粘弹性流体的碰撞、融合等真实效果.

Due to the complexity of solving the Navier-Stokes （ NS ） equations viscoelastic item or model, simulation of viscous fluid is difficult to achieve real-time simulation. On the basis of Smoothed Particle Hydrodynamics （ SPH ） particle simulation of fluid, shape constraint method to control the movement of particles and to keep the fluid shape . Because avoiding the complexity of the solution process in the traditional methods to achieve fast and efficient simulation results. The final speed obtained by linear interpolation of the obtained speed of the fluid and solid. So as to retain the property of their respective sports effectively. Adjust the interpolation coeffi-cients can be simulate the different viscosity fluid between the fluid and elastic solid quickly. This method can approximately simulate the movement of viscoelastic fluids, including the splash of the Newtonian fluid and motions of viscoelastic fluids including merging or splitting.