Numerical Simulation of Transient Non-Isothermal Viscoelastic Couette Flows Based on the SPH Method北大核心CSCD

Based on the smoothed particle hydrodynamics (SPH) method, the transient non-isothermal viscoelastic flows were numerically simulated. First, the viscoelastic Couette flow based on the Oldroyd-B model under isothermal condition was simulated. Then, the simulation was extended to the non-isothermal case, in which the Reynolds exponential model was adopted to evaluate the dependence of the viscosity and the relaxation time on the temperature. The accuracy and effectiveness of the SPH method for simulating transient non-isothermal viscoelastic flows were verified through comparison with the finite volume method and evaluation of numerical convergence. The different flow characteristics of the non-isothermal flow compared with those of the isothermal flow were discussed. The effects of the temperature dependence coefficient and the Péclet number on the flow physics were analyzed. The numerical results demonstrate that, the SPH method can accurately and effectively simulate transient non-isothermal viscoelastic flow problems. © 2023 Editorial Office of Applied Mathematics and Mechanics. All rights reserved.     

非等温eXtended Pom-Pom泊肃叶流动的光滑粒子流体动力学方法模拟

开展非等温黏弹性泊肃叶流动的光滑粒子流体动力学(SPH)方法模拟,其中流体的黏弹特性依据eXtended Pom-Pom(XPP)本构模型进行建模和计算。推导温度方程的SPH离散格式,并依据时温等效原理考量流体的黏弹特性对温度的依赖。将SPH模拟结果与利用有限体积方法得到的结果进行比较,验证SPH方法模拟非等温XPP泊肃叶流动的准确性和有效性。利用4个不同粒子初始间距进行模拟,讨论SPH方法的数值收敛性。研究温度方程的引入对泊肃叶流动带来的影响。深入分析不同物理参数对流动过程的影响。     

非等温黏弹性复杂流动的改进SPH方法模拟

非等温黏弹性流体广泛存在于自然界和工业生产中,准确预测黏弹性流体的非等温流动机理和复杂流变特性有着重要的应用价值.文章提出一种改进的光滑粒子流体动力学(smoothed particle hydrodynamics,SPH)方法对非等温黏弹性复杂流动进行了数值模拟,其中流体的黏弹特性通过eXtended Pom-Pom本构模型来表征.为了提高模拟结果的精度,采用了一种核函数梯度的修正算法;为了灵活地施加边界条件,发展了边界粒子和虚拟粒子相联合的边界处理方法;为了消除流动过程中的拉伸不稳定性,施加了粒子迁移技术.运用改进SPH方法数值模拟了液滴撞击固壁和F型腔注塑成型问题,通过与Basilisk软件得到的结果进行比较验证了改进SPH方法求解非等温黏弹性流体的有效性.通过利用不同粒子初始间距进行计算,评价了改进SPH方法的数值收敛性.研究了非等温流动相较于等温流动的不同流动特征,深入分析了不同热流变参数对流动过程的影响.数值结果表明,文章提出的改进SPH方法可稳定、准确地描述非等温黏弹性复杂流动的传热机理、复杂流变特性和自由面变化特性.