Numerical solution of the eXtended Pom-Pom model for viscoelastic free surface flows
Numerical solution of the eXtended Pom-Pom model for viscoelastic free surface flows
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DOI：
10.1016/j.jnnfm.2010.11.001
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发表时间：
2011-02-01
影响因子：
3.1
通讯作者：
McKee, S.
中科院分区：
文献类型：
--
作者：
Oishi, C. M.;Martins, F. P.;McKee, S.
本文提出了一种求解二维粘弹性非定常自由表面流动的有限差分方法，该流动由单方程形式的扩展Pom-Pom（XPP）模型控制。动量方程求解的投影方法，解耦的速度和压力场。我们感兴趣的低雷诺数流动，以提高数值方法的稳定性，隐式技术计算的自由表面上的压力条件。调用此策略来求解标记和单元类型方法内的控制方程，同时计算自由表面上的正确法向应力条件。通过对二维槽道流进行网格加密，验证了数值计算程序的有效性。数值计算结果包括XPP方程的参数对挤出物溶胀比的影响的调查和XPP流体的巴鲁斯效应的模拟。(C)2010 Elsevier BV保留所有权利。
In this paper we present a finite difference method for solving two-dimensional viscoelastic unsteady free surface flows governed by the single equation version of the eXtended Pom-Pom (XPP) model. The momentum equations are solved by a projection method which uncouples the velocity and pressure fields. We are interested in low Reynolds number flows and, to enhance the stability of the numerical method, an implicit technique for computing the pressure condition on the free surface is employed. This strategy is invoked to solve the governing equations within a Marker-and-Cell type approach while simultaneously calculating the correct normal stress condition on the free surface. The numerical code is validated by performing mesh refinement on a two-dimensional channel flow. Numerical results include an investigation of the influence of the parameters of the XPP equation on the extrudate swelling ratio and the simulation of the Barus effect for XPP fluids. (C) 2010 Elsevier B.V. All rights reserved.