Analytical interface reconstruction algorithms in the PLIC‐VOF method for 3D polyhedral unstructured meshes

[1]  Shamit Bakshi,et al.  Noniterative interface reconstruction algorithms for volume of fluid method , 2013 .

[2]  Julio Hernández,et al.  VOFTools - A software package of calculation tools for volume of fluid methods using general convex grids , 2018, Comput. Phys. Commun..

[3]  W. Rider,et al.  Reconstructing Volume Tracking , 1998 .

[4]  Andrew Garmory,et al.  An iterative interface reconstruction method for PLIC in general convex grids as part of a Coupled Level Set Volume of Fluid solver , 2018, J. Comput. Phys..

[5]  C. W. Hirt,et al.  Volume of fluid (VOF) method for the dynamics of free boundaries , 1981 .

[6]  Arthur Veldman,et al.  A Volume-of-Fluid based simulation method for wave impact problems , 2005 .

[7]  Nasser Ashgriz,et al.  FLAIR: fluz line-segment model for advection and interface reconstruction , 1991 .

[8]  Marianne M. Francois,et al.  An interface reconstruction method based on analytical formulae for 2D planar and axisymmetric arbitrary convex cells , 2014, J. Comput. Phys..

[9]  Marianne M. Francois,et al.  An interface reconstruction method based on an analytical formula for 3D arbitrary convex cells , 2016, J. Comput. Phys..

[10]  Hrvoje Jasak,et al.  A computational method for sharp interface advection , 2016, Royal Society Open Science.

[11]  Hyung Taek Ahn,et al.  Multi-material interface reconstruction on generalized polyhedral meshes , 2007, J. Comput. Phys..

[12]  A. Y. Tong,et al.  An analytical interface reconstruction algorithm in the PLIC‐VOF method for 2D polygonal unstructured meshes , 2018, International Journal for Numerical Methods in Fluids.

[13]  Qinghai Zhang,et al.  A new interface tracking method: The polygonal area mapping method , 2008, J. Comput. Phys..

[14]  Xiaofeng Yang,et al.  Analytic relations for reconstructing piecewise linear interfaces in triangular and tetrahedral grids , 2006, J. Comput. Phys..

[15]  E. Puckett,et al.  Second-Order Accurate Volume-of-Fluid Algorithms for Tracking Material Interfaces , 2013 .

[16]  A. Gosman,et al.  Solution of the implicitly discretised reacting flow equations by operator-splitting , 1986 .

[17]  J. Brackbill,et al.  A continuum method for modeling surface tension , 1992 .

[18]  Takumi Kawamura,et al.  A volume-conservative PLIC algorithm on three-dimensional fully unstructured meshes , 2013 .

[19]  Julio Hernández,et al.  A new volume conservation enforcement method for PLIC reconstruction in general convex grids , 2016, J. Comput. Phys..

[20]  Julio Hernández,et al.  Analytical and geometrical tools for 3D volume of fluid methods in general grids , 2008, J. Comput. Phys..