An improved weakly compressible SPH method for simulating free surface flows of viscous and viscoelastic fluids

作者：Xu, Xiaoyang^*; Deng, Xiao-Long^*

来源：Computer Physics Communications, 2016, 201: 43-62.

DOI：10.1016/j.cpc.2015.12.016

• Smoothed particle hydrodynamics
• Free surface flow
• Viscous fluid
• Viscoelastic fluid

In this paper, an improved weakly compressible smoothed particle hydrodynamics (SPH) method is proposed to simulate transient free surface flows of viscous and viscoelastic fluids. The improved SPH algorithm includes the implementation of (i) the mixed symmetric correction of kernel gradient to improve the accuracy and stability of traditional SPH method and (ii) the Rusanov flux in the continuity equation for improving the computation of pressure distributions in the dynamics of liquids. To assess the effectiveness of the improved SPH algorithm, a number of numerical examples including the stretching of an initially circular water drop, dam breaking flow against a vertical wall, the impact of viscous and viscoelastic fluid drop with a rigid wall, and the extrudate swell of viscoelastic fluid have been presented and compared with available numerical and experimental data in literature. The convergent behavior of the improved SPH algorithm has also been studied by using different number of particles. All numerical results demonstrate that the improved SPH algorithm proposed here is capable of modeling free surface flows of viscous and viscoelastic fluids accurately and stably, and even more important, also computing an accurate and little oscillatory pressure field.

• 出版日期2016-4
• 单位陕西理工大学; 北京计算科学研究中心