VOFTools, a package of FORTRAN subroutines with analytical and geometrical tools for 2D/3D VOF methods in general grids: Analytical and geometrical tools for 3D volume of fluid methods in general grids. It is well known that volume of fluid (VOF) methods in three dimensions, especially those based on unsplit advection schemes, involve highly complex geometrical operations. The objective of this work is to propose, for general grids and three-dimensional Cartesian geometry, simple and efficient geometrical tools for volume truncation operations that typically arise in VOF methods, and an analytical method for local volume enforcement. The results obtained for different tests and grid types show that the proposed analytical method may be as much as three times faster than Brent’s iterative method. Advection tests were carried out using hexahedral grids obtained from deformation of a cubic grid to assess the accuracy of the proposed tools in combination with a recently proposed unsplit PLIC-VOF method.

References in zbMATH (referenced in 38 articles , 1 standard article )

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  1. Badia, Santiago; Martorell, Pere A.; Verdugo, Francesc: Geometrical discretisations for unfitted finite elements on explicit boundary representations (2022)
  2. Chiodi, Robert; Desjardins, Olivier: General, robust, and efficient polyhedron intersection in the interface reconstruction library (2022)
  3. Kromer, Johannes; Bothe, Dieter: Face-based volume-of-fluid interface positioning in arbitrary polyhedra (2022)
  4. Ataei, Mohammadmehdi; Bussmann, Markus; Shaayegan, Vahid; Costa, Franco; Han, Sejin; Park, Chul B.: NPLIC: a machine learning approach to piecewise linear interface construction (2021)
  5. Bureš, Lubomír; Sato, Yohei; Pautz, Andreas: Piecewise linear interface-capturing volume-of-fluid method in axisymmetric cylindrical coordinates (2021)
  6. Comminal, Raphaël; Spangenberg, Jon: Three-dimensional cellwise conservative unsplit geometric VOF schemes (2021)
  7. López, Joaquín; Esteban, Adolfo; Hernández, Julio; Gómez, Pablo; Zamora, Rosendo; Zanzi, Claudio; Faura, Félix: A new isosurface extraction method on arbitrary grids (2021)
  8. Gründing, D.; Smuda, M.; Antritter, T.; Fricke, M.; Rettenmaier, D.; Kummer, F.; Stephan, P.; Marschall, H.; Bothe, D.: A comparative study of transient capillary rise using direct numerical simulations (2020)
  9. Marić, Tomislav; Kothe, Douglas B.; Bothe, Dieter: Unstructured un-split geometrical volume-of-fluid methods - a review (2020)
  10. Zuzio, Davide; Orazzo, Annagrazia; Estivalèzes, Jean-Luc; Lagrange, Isabelle: A new efficient momentum preserving level-set/VOF method for high density and momentum ratio incompressible two-phase flows (2020)
  11. Cao, Zhizhu; Sun, Dongliang; Wei, Jinjia; Yu, Bo; Li, Jingfa: A coupled volume-of-fluid and level set method based on general curvilinear grids with accurate surface tension calculation (2019)
  12. Chen, Xiang; Zhang, Xiong: A predicted-Newton’s method for solving the interface positioning equation in the MoF method on general polyhedrons (2019)
  13. Gómez, Pablo; Zanzi, Claudio; López, Joaquín; Hernández, Julio: Simulation of high density ratio interfacial flows on cell vertex/edge-based staggered octree grids with second-order discretization at irregular nodes (2019)
  14. López, Joaquín; Hernández, Julio; Gómez, Pablo; Faura, Félix: Non-convex analytical and geometrical tools for volume truncation, initialization and conservation enforcement in VOF methods (2019)
  15. Zhao, H. Y.; Ming, P. J.; Zhang, W. P.; Chen, J. K.: A direct time-integral THINC scheme for sharp interfaces (2019)
  16. Skarysz, M.; Garmory, A.; Dianat, M.: An iterative interface reconstruction method for PLIC in general convex grids as part of a coupled level set volume of fluid solver (2018)
  17. Zuzio, Davide; Estivalèzes, Jean-Luc; DiPierro, Bastien: An improved multiscale Eulerian-Lagrangian method for simulation of atomization process (2018)
  18. Chen, Xiang; Zhang, Xiong: An improved 3D MoF method based on analytical partial derivatives (2016)
  19. Diot, Steven; François, Marianne M.: An interface reconstruction method based on an analytical formula for 3D arbitrary convex cells (2016)
  20. López, J.; Hernández, J.; Gómez, P.; Faura, F.: A new volume conservation enforcement method for PLIC reconstruction in general convex grids (2016)

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