Three-dimensional transient complex free surface flows: Numerical simulation of XPP fluid
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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. © 2013 Elsevier B.V.
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Finite difference method , Free surface flows , Three dimensional , Viscoelastic flow , XPP model , Free-surface flow , Implicit techniques , Incompressible free surface flows , Non-Newtonian fluid mechanics , Numerical formulation , Numerical techniques , Viscoelastic flows , Crystallography , Fluid mechanics , Non Newtonian liquids , Numerical methods , Runge Kutta methods , Surfaces
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Journal of Non-Newtonian Fluid Mechanics, v. 195, p. 88-98.
