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A finite difference technique for solving a time strain separable K-BKZ constit...
M. F. Tomé; J. Bertoco; C. M. Oishi; M. S. B. Araújo; D. Cruz; F. T. Pinho; M. VynnyckyThis work is concerned with the numerical solution of the K-BKZ integral constitutive equation for two-dimensional time-dependent free surface flows. The numerical method proposed herein is a finite difference technique for simulating flows possessing moving surfaces that can interact with solid walls. The main characteristics of the methodology employed are: the momentum and mass conservation equations are sol...
A two-phase solver for complex fluids: Studies of the Weissenberg effect
R. A. Figueiredo; C. M. Oishi; A. M. Afonso; I. V. M. Tasso; J. A. CuminatoIn this work a new two-phase solver is presented and described, with a particular interest in the solution of highly elastic flows of viscoelastic fluids. The proposed code is based on a combination of classical Volume-of-Fluid and Continuum Surface Force methods, along with a generic kernel-conformation tensor transformation to represent the rheological characteristics of the (multi)-fluid phases. Benchmark te...
A numerical study of the Kernel-conformation transformation for transient visco...
F. P. Martins; C. M. Oishi; A. M. Afonso; M. A. AlvesThis work presents a numerical application of a generic conformation tensor transformation for simulating highly elastic flows of non-Newtonian fluids typically observed in computational rheology. In the Kernel-conformation framework [14], the conformation tensor constitutive law for a viscoelastic fluid is transformed introducing a generic tensor transformation function. The numerical stability of the applicat...
Numerical solution of the FENE-CR model in complex flows
G. S. Paulo; C. M. Oishi; M. F. Tomé; M. A. Alves; F. T. PinhoA finite difference technique for solving the FENE-CR (Finite Extendable Non-linear Elastic - Chilcott and Rallison) closure constitutive model in complex flows has been developed and tested. The governing equations are solved using a Marker-and-Cell type method on a staggered grid. The momentum equation is integrated employing an implicit method while the FENE-CR constitutive equation is approximated by a seco...
Three-dimensional transient complex free surface flows: Numerical simulation of...
R. A. Figueiredo; C. M. Oishi; J. A. Cuminato; M. A. AlvesIn 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...
Numerical simulation of drop impact and jet buckling problems using the eXtende...
C. M. Oishi; F. P. Martins; M. F. Tomé; M. A. AlvesThis work presents numerical simulations of two fluid flow problems involving moving free surfaces: the impacting drop and fluid jet buckling. The viscoelastic model used in these simulations is the eXtended Pom-Pom (XPP) model. To validate the code, numerical predictions of the drop impact problem for Newtonian and Oldroyd-B fluids are presented and compared with other methods. In particular, a benchmark on nu...