Numerical study of the square-root conformation tensor formulation for confined and free-surface viscoelastic fluid flows

被引：0

作者：

Palhares Junior I.L. ^{[1
]}

Oishi C.M. ^{[1
]}

Afonso A.M. ^{[2
,3
]}

Alves M.A. ^{[2
,3
]}

Pinho F.T. ^{[3
]}

机构：

[1] Departamento de Matemática e Computação, Faculdade de Ciências e Tecnologia, Universidade Estadual Paulista “Júlio de Mesquita Filho”, Presidente Prudente

[2] Departamento de Engenharia Química, CEFT, Faculdade de Engenharia da Universidade do Porto, Porto

[3] CEFT, Faculdade de Engenharia da Universidade do Porto, Porto

来源：

Advanced Modeling and Simulation in Engineering Sciences | / 3卷 / 1期

基金：

巴西圣保罗研究基金会; 欧洲研究理事会;

关键词：

Complex flows; Confined flows; Free-surface flows; High-Weissenberg Number Problem; Square-root formulation; Viscoelastic fluids;

D O I：

10.1186/s40323-015-0054-4

中图分类号：

学科分类号：

摘要：

We present a numerical study of a stabilization method for computing confined and free-surface flows of highly elastic viscoelastic fluids. In this approach, the constitutive equation based on the conformation tensor, which is used to define the viscoelastic model, is modified introducing an evolution equation for the square-root conformation tensor. Both confined and free-surface flows are considered, using two different numerical codes. A finite volume method is used for confined flows and a finite difference code developed in the context of the marker-and-cell method is used for confined and free-surface flows. The implementation of the square-root formulation was performed in both numerical schemes and discussed in terms of its ability and efficiency to compute steady and transient viscoelastic fluid flows. The numerical results show that the square-root formulation performs efficiently in the tested benchmark problems at high-Weissenberg number flows, such as the lid-driven cavity flow, the flow around a confined cylinder, the cross-slot flow and the impacting drop free surface problem. © 2016, Palhares Junior et al.

引用

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