SLIC (Simple Line Interface Calculation). SLIC is an alternating-direction method for the geometric approximation of fluid interfaces. It may be used in one, two, or three space dimensions, and it is characterized by the following features: (1) Fluid surfaces are represented locally for each mixed- fluid zone, and these surfaces are defined as a composition of one space dimensional components, one for each coordinate direction. (2) These onedimensional components are composed entirely of straight lines, either perpendicular to or parallel to that coordinate direction. (3) The one-dimensional surface approximations for a mixed fluid cell are completely determined by testing whether or not the various fluids in the mixed cell are present or absent in the zone just to the left and to the right in the coordinate direction under consideration. (4) Because of the completely one-dimensional nature of the SLIC interface description, it is relatively easy to advance the fluid surfaces correctly in time. With the SLIC fluid-surface definitions, it should be possible to incorporate any one space dimensional method for advancing contact discontinuities. This makes SLIC very practical for the numerical solution of fluid dynamical problems.

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  1. Nguyen, Van-Tu; Nguyen, Nguyen T.; Phan, Thanh-Hoang; Park, Warn-Gyu: Efficient three-equation two-phase model for free surface and water impact flows on a general curvilinear body-fitted grid (2020)
  2. Pirozzoli, Sergio; Di Giorgio, Simone; Iafrati, Alessandro: On algebraic TVD-VOF methods for tracking material interfaces (2019)
  3. Qian, Longgen; Wei, Yanhong: A coupled THINC/QQ and LS framework for simulating incompressible free-surface flows with surface tension (2019)
  4. Robey, Jonathan M.; Puckett, Elbridge Gerry: Implementation of a volume-of-fluid method in a finite element code with applications to thermochemical convection in a density stratified fluid in the Earth’s mantle (2019)
  5. Rosti, Marco E.; De Vita, Francesco; Brandt, Luca: Numerical simulations of emulsions in shear flows (2019)
  6. Boyaval, Sébastien; Caboussat, Alexandre; Mrad, Arwa; Picasso, Marco; Steiner, Gilles: A semi-Lagrangian splitting method for the numerical simulation of sediment transport with free surface flows (2018)
  7. Chen, Li; Li, Ruo; Yao, Chengbao: An approximate solver for multi-medium Riemann problem with Mie-Grüneisen equations of state (2018)
  8. Cifani, P.; Kuerten, J. G. M.; Geurts, B. J.: Highly scalable DNS solver for turbulent bubble-laden channel flow (2018)
  9. Gibou, Frederic; Fedkiw, Ronald; Osher, Stanley: A review of level-set methods and some recent applications (2018)
  10. Kannan, Karthik; Kedelty, Dominic; Herrmann, Marcus: An in-cell reconstruction finite volume method for flows of compressible immiscible fluids (2018)
  11. Mostafaiyan, Mehdi; Wießner, Sven; Heinrich, Gert; Hosseini, Mahdi Salami; Domurath, Jan; Khonakdar, Hossein Ali: Application of local least squares finite element method (LLSFEM) in the interface capturing of two-phase flow systems (2018)
  12. Qian, Longgen; Wei, Yanhong; Xiao, Feng: Coupled THINC and level set method: a conservative interface capturing scheme with high-order surface representations (2018)
  13. Shams, Mosayeb; Raeini, Ali Q.; Blunt, Martin J.; Bijeljic, Branko: A numerical model of two-phase flow at the micro-scale using the volume-of-fluid method (2018)
  14. Evrard, Fabien; Denner, Fabian; van Wachem, Berend: Estimation of curvature from volume fractions using parabolic reconstruction on two-dimensional unstructured meshes (2017)
  15. Ivey, Christopher B.; Moin, Parviz: Conservative and bounded volume-of-fluid advection on unstructured grids (2017)
  16. Laurain, Antoine: Stability analysis of the reconstruction step of the Voronoi implicit interface method (2017)
  17. Liu, Cheng; Hu, Changhong: Adaptive THINC-GFM for compressible multi-medium flows (2017)
  18. Nguyen, Van-Tu; Park, Warn-Gyu: A volume-of-fluid (VOF) interface-sharpening method for two-phase incompressible flows (2017)
  19. Owkes, Mark; Desjardins, Olivier: A mass and momentum conserving unsplit semi-Lagrangian framework for simulating multiphase flows (2017)
  20. Xie, Bin; Xiao, Feng: Toward efficient and accurate interface capturing on arbitrary hybrid unstructured grids: the THINC method with quadratic surface representation and Gaussian quadrature (2017)

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