Three-dimensional transient complex free surface flows: Numerical simulation of XPP fluid

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• 作者：R.A. Figueiredo^a ; ^{rafigueiredo22@gmail.com} ; C.M. Oishi^b ; ^{cassiooishi@gmail.com} ; J.A. Cuminato^a ; ^{jacumina@icmc.usp.br} ; M.A. Alves^c ; ^{mmalves@fe.up.pt}
• 关键词：Finite difference method ; Free surface flows ; XPP model ; Three dimensional ; Viscoelastic flow
• 刊名：Journal of Non-Newtonian Fluid Mechanics
• 出版年：2013
• 出版时间：May, 2013
• 年：2013
• 卷：195
• 期：Complete
• 页码：88-98
• 全文大小：1409 K

文摘

In this paper we present a finite difference MAC-type approach for solving three-dimensional viscoelastic incompressible free surface flows governed by the eXtended Pom-Pom (XPP) model, considering a wide range of parameters. The numerical formulation presented in this work is an extension to three-dimensions of our implicit technique [Journal of Non-Newtonian Fluid Mechanics 166 (2011) 165-179] for solving two-dimensional viscoelastic free surface flows. To enhance the stability of the numerical method, we employ a combination of the projection method with an implicit technique for treating the pressure on the free surfaces. The differential constitutive equation of the fluid is solved using a second-order Runge-Kutta scheme. The numerical technique is validated by performing a mesh refinement study on a pipe flow, and the numerical results presented include the simulation of two complex viscoelastic free surface flows: extrudate-swell problem and jet buckling phenomenon.