GENSMAC3D: A numerical method for solving unsteady three-dimensional free surface flows. A numerical method for solving three-dimensional free surface flows is presented. The technique is an extension of the GENSMAC code for calculating free surface flows in two dimensions. As in GENSMAC, the full Navier-Stokes equations are solved by a finite difference method; the fluid surface is represented by a piecewise linear surface composed of quadrilaterals and triangles containing marker particles on their vertices; the stress conditions on the free surface are accurately imposed; the conjugate gradient method is employed for solving the discrete Poisson equation arising from a velocity update; and an automatic time step routine is used for calculating the time step at every cycle. A program implementing these features has been interfaced with a solid modelling routine defining the flow domain. A user-friendly input data file is employed to allow almost any arbitrary three-dimensional shape to be described. The visualization of the results is performed using computer graphic structures such as phong shade, flat and parallel surfaces. Results demonstrating the applicability of this new technique for solving complex free surface flows, such as cavity filling and jet buckling, are presented.

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  1. Mompean, G.; Thais, L.; Tomé, M.F.; Castelo, A.: Numerical prediction of three-dimensional time-dependent viscoelastic extrudate swell using differential and algebraic models (2011)
  2. Oishi, C.M.; Martins, F.P.; Tomé, M.F.; Cuminato, J.A.; McKee, S.: Numerical solution of the eXtended Pom-Pom model for viscoelastic free surface flows (2011)
  3. Bungartz, Hans-Joachim; Mehl, Miriam; Neckel, Tobias; Weinzierl, Tobias: The PDE framework Peano applied to fluid dynamics: an efficient implementation of a parallel multiscale fluid dynamics solver on octree-like adaptive Cartesian grids (2010)
  4. Cruchaga, Marcela; Celentano, Diego; Breitkopf, Piotr; Villon, Pierre; Rassineux, Alain: A surface remeshing technique for a Lagrangian description of 3D two-fluid flow problems (2010)
  5. Cruz, Pedro A.; Tomé, Murilo F.; Stewart, Iain W.; McKee, Sean: A numerical method for solving the dynamic three-dimensional Ericksen-Leslie equations for nematic liquid crystals subject to a strong magnetic field (2010)
  6. Tomé, M.F.; McKee, S.; Walters, K.: A computational study of some rheological influences on the “splashing experiment” (2010)
  7. Tomé, M.F.; Paulo, G.S.; Pinho, F.T.; Alves, M.A.: Numerical solution of the PTT constitutive equation for unsteady three-dimensional free surface flows (2010)
  8. Degroote, Joris; Bruggeman, Peter; Vierendeels, Jan: A coupling algorithm for partitioned solvers applied to bubble and droplet dynamics (2009)
  9. 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)
  10. Brenk, Markus; Bungartz, Hans-Joachim; Mehl, Miriam; Muntean, Ioan L.; Neckel, Tobias; Weinzierl, Tobias: Numerical simulation of particle transport in a drift ratchet (2008)
  11. Mckee, S.; Tomé, M.F.; Ferreira, V.G.; Cuminato, J.A.; Castelo, A.; Sousa, F.S.; Mangiavacchi, N.: The MAC method (2008)
  12. Mehl, Miriam; Brenk, Markus; Bungartz, Hans-Joachim; Daubner, Klaus; Muntean, Ioan Lucian; Neckel, Tobias: An Eulerian approach for partitioned fluid-structure simulations on Cartesian grids (2008)
  13. 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)
  14. Oishi, C.M.; Cuminato, J.A.; Yuan, J.Y.; McKee, S.: Stability of numerical schemes on staggered grids. (2008)
  15. Teleaga, Ioan; Seaïd, Mohammed: Simplified radiative models for low-Mach number reactive flows (2008)
  16. 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)
  17. de Paulo, G.S.; Tomé, M.F.; McKee, S.: A marker-and-cell approach to viscoelastic free surface flows using the PTT model (2007)
  18. 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)
  19. 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)
  20. 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)

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