Simulation of multiple free surface transient Newtonian and non-Newtonian flows. The authors have developed a package FREEFLOW which is embodied in the computer code GENSMAC. This code solves two-dimensional time-dependent mass and momentum equations for incompressible vicous fluid which may be Newtonian or non-Newtonian (generalized fluid). Although based on the ideas of the marker-and cell technique, the presented code has a number of novel features. The fluid domain can be quite general and need only be connected. With the parallelisation in mind the momentum equations are solved explicitly, but an automatic step-changing routine optimizes the stability restriction. A conjugate gradient solver is used to invert the discrete Poisson equation. An accurate approximation to the stress conditions on the free surface leads to improved visualization. The code is written in structured FORTRAN with features from FORTRAN 90. The aim of the present paper is to illustrate the effectiveness of the code by applying it to several industrial problems: sloshing, injection moulding, and dye-swelling.

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  1. de Queiroz, Rafael A.B.; Kurokawa, Fernando A.; Candezano, Miguel A.C.; Corr^ea, L.: Numerical investigations of turbulent free surface flows using TOPUS scheme (2017)
  2. Ferreira, V.G.; Kaibara, M.K.; Lima, G.A.B.; Silva, J.M.; Sabatini, M.H.; Mancera, P.F.A.; Mckee, S.: Application of a bounded upwinding scheme to complex fluid dynamics problems (2013)
  3. Ville, Laurence; Silva, Luisa; Coupez, Thierry: Convected level set method for the numerical simulation of fluid buckling (2011)
  4. Ferreira, V.G.; Kurokawa, F.A.; Oishi, C.M.; Kaibara, M.K.; Castelo, A.; Cuminato, J.A.: Evaluation of a bounded high-order upwind scheme for 3D incompressible free surface flow computations (2009)
  5. Ferreira, V.G.; Kurokawa, F.A.; Queiroz, R.A.B.; Kaibara, M.K.; Oishi, C.M.; Cuminato, J.A.; Castelo, A.; Tomé, M.F.; McKee, S.: Assessment of a high-order finite difference upwind scheme for the simulation of convection-diffusion problems (2009)
  6. Tome, Murilo F.; Silva, Renato A.P.; Oishi, Cassio M.; Mckee, Sean: Numerical solution of the upper-convected Maxwell model for three-dimensional free surface flows (2009)
  7. Oishi, Cassio M.; Tomé, Murilo F.; Cuminato, José A.; McKee, Sean: An implicit technique for solving 3D low Reynolds number moving free surface flows (2008)
  8. Tomé, M.F.; de Araujo, M.S.B.; Alves, M.A.; Pinho, F.T.: Numerical simulation of viscoelastic flows using integral constitutive equations: A finite difference approach (2008)
  9. de Sousa, Dione A.; Soares, Edson J.; de Queiroz, Rogerio S.; Thompson, Roney L.: Numerical investigation on gas-displacement of a shear-thinning liquid and a visco-plastic material in capillary tubes (2007)
  10. Ferreira, V.G.; Brandi, A.C.; Kurokawa, F.A.; Seleghim, P.jun.; Castelo, A.; Cuminato, J.A.: Incompressible turbulent flow simulation using the $\kappa -\varepsilon $ model and upwind schemes (2007)
  11. Ferreira, V.G.; Oishi, C.M.; Kurokawa, F.A.; Kaibara, M.K.; Cuminato, J.A.; Castelo, A.; Mangiavacchi, N.; Tomé, M.F.; McKee, S.: A combination of implicit and adaptative upwind tools for the numerical solution of incompressible free surface flows (2007)
  12. Tomé, M.F.; Grossi, L.; Castelo, A.; Cuminato, J.A.; Mckee, S.; Walters, K.: Die-swell, splashing drop and a numerical technique for solving the Oldroyd B model for axisymmetric free surface flows (2007)
  13. Sujatha, K.S.; Matallah, H.; Banaai, M.J.; Webster, M.F.: Computational predictions for viscoelastic filament stretching flows: ALE methods and free-surface techniques (CM and VOF) (2006)
  14. Perigaud, Guillaume; Saurel, Richard: A compressible flow model with capillary effects (2005)
  15. de Sousa, F.S.; Mangiavacchi, N.; Nonato, L.G.; Castelo, A.; Tomé, M.F.; Ferreira, V.G.; Cuminato, J.A.; McKee, S.: A front-tracking/front-capturing method for the simulation of 3D multi-fluid flows with free surfaces (2004)
  16. McKee, S.; Tomé, M.F.; Cuminato, J.A.; Castelo, A.; Ferreira, V.G.: Recent advances in the Marker and Cell Method (2004)
  17. Tomé, M.F.; Grossi, L.; Castelo, A.; Cuminato, J.A.; Mangiavacchi, N.; Ferreira, V.G.; de Sousa, F.S.; McKee, S.: A numerical method for solving three-dimensional generalized Newtonian free surface flows (2004)
  18. Tomé, M.F.; Mangiavacchi, N.; Cuminato, J.A.; Castelo, A.; McKee, S.: A finite difference technique for simulating unsteady viscoelastic free surface flows (2002)
  19. Castello F., A.; Tomé, M.F.; César, C.N.L.; McKee, S.; Cuminato, J.A.: Freeflow: An integrated simulation system for three-dimensional free surface flows (2000)
  20. Tome, M.F.; Castelo, A.; Murakami, J.; Cuminato, J.A.; Minghim, R.; Oliveira, M.C.F.; Mangiavacchi, N.; McKee, S.: Numerical simulation of axisymmetric free surface flows (2000)

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