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

机译:一种改进的弱压缩SPH方法,用于模拟粘性和粘弹性流体的自由表面流动

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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. (C) 2015 Elsevier B.V. All rights reserved.
机译:本文提出了一种改进的弱可压缩光滑粒子流体动力学(SPH)方法来模拟粘性和粘弹性流体的瞬态自由表面流。改进的SPH算法包括:(i)内核梯度的混合对称校正,以提高传统SPH方法的准确性和稳定性;以及(ii)连续性方程中的Rusanov通量,以改善动力学中压力分布的计算。液体。为了评估改进的SPH算法的有效性,使用了许多数值示例,包括拉伸最初的圆形水滴,在垂直壁上破坏坝流,粘性和粘弹性流体滴对刚性壁的影响以及挤出物膨胀已经提出了粘弹性流体的合​​成,并与文献中可用的数值和实验数据进行了比较。还通过使用不同数量的粒子来研究改进的SPH算法的收敛行为。所有数值结果均表明,本文提出的改进的SPH算法能够准确,稳定地对粘性和粘弹性流体的自由表面流进行建模,而且更重要的是,还可以计算出精确的振动压力场。 (C)2015 Elsevier B.V.保留所有权利。

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