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

An improved weakly compressible SPH method for simulating free surface flows of viscous and viscoelastic fluids
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模拟粘性和粘弹性流体自由表面流的改进弱可压缩SPH方法

DOI:
10.1016/j.cpc.2015.12.016
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发表时间:
2016-04
影响因子:
6.3
通讯作者:
Xiao-Long Deng
Xiao-Long Deng
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Xiaoyang Xu;Xiao-Long Deng

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本文提出了一种改进的弱可压缩光滑质点流体力学(SPH)方法,用于模拟粘性和粘弹性流体的瞬时自由面流动。改进的SPH算法包括:(I)对核梯度进行混合对称修正,以提高传统SPH方法的精度和稳定性;(Ii)在连续性方程中引入Rusanov通量,以改进流体动力学中压力分布的计算。为了评估改进的SPH算法的有效性,给出了一些数值算例,包括初始圆形水滴的拉伸、垂直壁面上的溃坝流动、粘性和粘弹性液滴与刚性壁面的冲击以及粘弹性流体的挤出胀大,并与文献中已有的数值和实验数据进行了比较。在不同粒子个数的情况下,研究了改进的SPH算法的收敛性能。数值结果表明,改进的SPH算法不仅能够准确、稳定地模拟粘性和粘弹性流体的自由表面流动,更重要的是能够计算出精确的、小振荡的压力场。
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.
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