A stabilised finite element framework for viscoelastic multiphase flows using a conservative level-set method
A stabilised finite element framework for viscoelastic multiphase flows using a conservative level-set method
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DOI：
10.1016/j.jcp.2023.111936
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发表时间：
2023-01-27
影响因子：
4.1
通讯作者：
Xie, Zhihua
中科院分区：
文献类型：
--
作者：
Doherty, William;Phillips, Timothy N.;Xie, Zhihua
粘弹性多相流稳定数值格式的发展对许多工程应用领域具有重要意义。本文的主要原始贡献是实现了一种保守水平集方法来隐式定义流体相之间的界面，完全融入粘弹性流动的数学框架。采用有限元法对控制方程进行离散化，采用不连续伽辽金法或流线上绕法对本构方程进行稳定化。在Navier-Stokes方程中还采用了离散弹性粘性应力分裂梯度（DEVSS-G）公式来平衡聚合物应力张量的双曲特性。数值格式通过几个基准问题进行了验证，对于牛顿流体和粘弹性流体，无论是单相流动还是多相流动，数值格式都与已发表的数据非常吻合。详细研究了粘弹性流体中气泡的上升运动。探讨了聚合物浓度、表面张力、流体弹性和剪切减薄行为对细丝和尖的发展以及负尾迹的产生等流动特征的影响。(c) 2023作者。Elsevier Inc.出版。这是一篇基于CC BY许可的开放获取文章（http://creativecommons .org /licenses / BY / 4.0 /）。
The development of stable numerical schemes for viscoelastic multiphase flows has implications for many areas of engineering applications. The principal original contribution of this paper is the implementation of a conservative level-set method to define implicitly the interface between fluid phases, fully integrated into the mathematical framework of viscoelastic flow. The governing equations are discretized using the finite element method and stabilisation of the constitutive equation is achieved using either the discontinuous Galerkin (DG) or streamline upwinding (SU) method. The discrete elastic viscous stress splitting gradient (DEVSS-G) formulation is also employed in the Navier-Stokes equations to balance the hyperbolic characteristics of the polymeric stress tensor. The numerical scheme is validated with reference to several benchmark problems and excellent quantitative agreement with published data is found for Newtonian and viscoelastic fluids, for both single and multiphase flows. The motion of a gas bubble rising in a viscoelastic fluid is studied in detail. The influence of polymer concentration, surface tension, fluid elasticity and shear-thinning behaviour, on flow features such as the development of filaments and cusps and the generation of negative wakes is explored. (c) 2023 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons .org /licenses /by /4 .0/).