基于粒子的非牛顿流体模拟统一模型

A unified particle model for non-Newtonian fluid simulation

摘要:

为模拟非牛顿流体的运动现象,提出了一种基于粒子的模拟方法.通过对Navier-Stokes方程组添加应力张量项,并利用光滑粒子流体动力学的基本方法进行求解,建立了非牛顿流体模拟的统一模型.实验结果表明,通过调节模型参数k和μ,流体可表现出不同的弹性和塑性.增大k而减小μ,流体会表现出较强的塑性和较弱的弹性,反之,增大μ而减小k,流体会表现出较强的弹性和较弱的塑性.通过扩展Navier-Stokes方程组,模型能够真实的模拟具有不同弹性和塑性性质的非牛顿流体.

Abstract:

For simulating non-Newtonian fluid motion,in this paper a particle-based method is proposed in this paper.Through adding the stress tensor terms into the Navier-Stokes equations and using the essential method of smoothed particle hydrodynamics,a unified model for simulating non-Newtonian fluid is established.The experimental results show that the elasticity and plasticity of the fluid will change with the values of model parameters k and μ.The fluid exhibits more obvious plastic flow and weaker elasticity when k is increased and μ is decreased,conversely,the fluid exhibits stronger elasticity and weaker plasticity when μ is increased and k is decreased.By extending the Navier-Stokes equations,non-Newtonian fluid with various elastic and plastic characteristics can be simulated realistically by using this model.