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. de Queiroz, Rafael A. B.; Kurokawa, Fernando A.; Candezano, Miguel A. C.; Corrêa, L.: Numerical investigations of turbulent free surface flows using TOPUS scheme (2017)
  2. Liu, Li; Shen, Yiqing; Liu, Shengping; Yu, Ming: The dual information preserving method for stiff reacting flows (2017)
  3. Zhang, Fan; Zhang, Xiong; Sze, Kam Yim; Lian, Yanping; Liu, Yan: Incompressible material point method for free surface flow (2017)
  4. Cruchaga, Marcela; Battaglia, Laura; Storti, Mario; D’Elía, Jorge: Numerical modeling and experimental validation of free surface flow problems (2016)
  5. Elgeti, S.; Sauerland, H.: Deforming fluid domains within the finite element method: five mesh-based tracking methods in comparison (2016)
  6. Tomé, M. F.; Bertoco, J.; Oishi, C. M.; Araujo, M. S. B.; Cruz, D.; Pinho, F. T.; Vynnycky, M.: A finite difference technique for solving a time strain separable K-BKZ constitutive equation for two-dimensional moving free surface flows (2016)
  7. Wang, Zhi-Bin; Chen, Rong; Wang, Hong; Liao, Qiang; Zhu, Xun; Li, Shu-Zhe: An overview of smoothed particle hydrodynamics for simulating multiphase flow (2016)
  8. Malgarinos, Ilias; Nikolopoulos, Nikolaos; Gavaises, Manolis: Coupling a local adaptive grid refinement technique with an interface sharpening scheme for the simulation of two-phase flow and free-surface flows using VOF methodology (2015)
  9. Martins, F. P.; Oishi, C. M.; Afonso, A. M.; Alves, M. A.: A numerical study of the \textitkernel-conformation transformation for transient viscoelastic fluid flows (2015)
  10. Tomé, M. F.; Castelo, A.; Nóbrega, J. M.; Carneiro, O. S.; Paulo, G. S.; Pereira, F. T.: Numerical and experimental investigations of three-dimensional container filling with Newtonian viscous fluids (2014)
  11. Audoly, B.; Clauvelin, N.; Brun, P.-T.; Bergou, M.; Grinspun, E.; Wardetzky, M.: A discrete geometric approach for simulating the dynamics of thin viscous threads (2013)
  12. Cruz, Pedro A.; Tomé, Murilo F.; Stewart, Iain W.; McKee, Sean: Numerical solution of the Ericksen-Leslie dynamic equations for two-dimensional nematic liquid crystal flows (2013)
  13. 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)
  14. 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)
  15. 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)
  16. 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)
  17. 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)
  18. Tomé, M. F.; McKee, S.; Walters, K.: A computational study of some rheological influences on the “splashing experiment” (2010)
  19. 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)
  20. Degroote, Joris; Bruggeman, Peter; Vierendeels, Jan: A coupling algorithm for partitioned solvers applied to bubble and droplet dynamics (2009)

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