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 19 articles , 1 standard article )

Showing results 1 to 19 of 19.
Sorted by year (citations)

  1. Chen, Xiang; Zhang, Xiong: An improved 3D MoF method based on analytical partial derivatives (2016)
  2. Diot, Steven; François, Marianne M.: An interface reconstruction method based on an analytical formula for 3D arbitrary convex cells (2016)
  3. López, J.; Hernández, J.; Gómez, P.; Faura, F.: A new volume conservation enforcement method for PLIC reconstruction in general convex grids (2016)
  4. Abadie, T.; Aubin, J.; Legendre, D.: On the combined effects of surface tension force calculation and interface advection on spurious currents within volume of fluid and level set frameworks (2015)
  5. Comminal, Raphaël; Spangenberg, Jon; Hattel, Jesper Henri: Cellwise conservative unsplit advection for the volume of fluid method (2015)
  6. Ivey, Christopher B.; Moin, Parviz: Accurate interface normal and curvature estimates on three-dimensional unstructured non-convex polyhedral meshes (2015)
  7. Jofre, Lluís; Borrell, Ricard; Lehmkuhl, Oriol; Oliva, Assensi: Parallel load balancing strategy for volume-of-fluid methods on 3-D unstructured meshes (2015)
  8. Powell, Devon; Abel, Tom: An exact general remeshing scheme applied to physically conservative voxelization (2015)
  9. Denner, Fabian; van Wachem, Berend G.M.: Compressive VOF method with skewness correction to capture sharp interfaces on arbitrary meshes (2014)
  10. Diot, S.; François, M.M.; Dendy, E.D.: An interface reconstruction method based on analytical formulae for 2D planar and axisymmetric arbitrary convex cells (2014)
  11. Owkes, Mark; Desjardins, Olivier: A computational framework for conservative, three-dimensional, unsplit, geometric transport with application to the volume-of-fluid (VOF) method (2014)
  12. López, Joaquín; Gómez, Pablo; Hernández, Julio; Faura, F.: A two-grid adaptive volume of fluid approach for dendritic solidification (2013)
  13. Wang, Zhaoyuan; Yang, Jianming; Stern, Frederick: A new volume-of-fluid method with a constructed distance function on general structured grids (2012)
  14. Ellis, A.S.; Smith, F.T.; White, A.H.: Droplet impact on to a rough surface (2011)
  15. Mencinger, Jure; Žun, Iztok: A PLIC-VOF method suited for adaptive moving grids (2011)
  16. López, Joaquín; Gómez, P.; Hernández, J.: A volume of fluid approach for crystal growth simulation (2010)
  17. López, Joaquín; Hernández, J.: On reducing interface curvature computation errors in the height function technique (2010)
  18. López, J.; Zanzi, C.; Gómez, P.; Zamora, R.; Faura, F.; Hernández, J.: An improved height function technique for computing interface curvature from volume fractions (2009)
  19. López, Joaquín; Hernández, J.: Analytical and geometrical tools for 3D volume of fluid methods in general grids (2008)