Fundamentals of the KRAKEN code. KRAKEN is an Eulerian hydrodynamics code capable of treating compressible nonviscous flow of several fluids in a two-dimensional (axially symmetric) region. In many respects it is reminiscent of the FLIC/PIC methods, although it is considerably different in detail. Both Lagrangian and advection (transport) phases of the problem are considered. The code has a straight-forward approach to differencing. The presently used version of the code is discussed; it is hoped that a more efficient version will soon be completed. (RWR)

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  1. Barlow, Andrew J.; Maire, Pierre-Henri; Rider, William J.; Rieben, Robert N.; Shashkov, Mikhail J.: Arbitrary Lagrangian-Eulerian methods for modeling high-speed compressible multimaterial flows (2016)
  2. Theillard, Maxime; Gibou, Frédéric; Pollock, Tresa: A sharp computational method for the simulation of the solidification of binary alloys (2015)
  3. 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)
  4. Gibou, Frédéric; Min, Chohong; Fedkiw, Ron: High resolution sharp computational methods for elliptic and parabolic problems in complex geometries (2013)
  5. Poon, Eric K.W.; Quan, Shaoping; Lou, Jing; Giacobello, Matteo; Ooi, Andrew S.H.: Dynamics of a deformable, transversely rotating droplet released into a uniform flow (2011)
  6. Verschaeve, Joris C.G.: High order interface reconstruction for the volume of fluid method (2011)
  7. Bailey, David; Berndt, Markus; Kucharik, Milan; Shashkov, Mikhail: Reduced-dissipation remapping of velocity in staggered arbitrary Lagrangian-Eulerian methods (2010)
  8. Croce, Roberto; Griebel, Michael; Schweitzer, Marc Alexander: Numerical simulation of bubble and droplet deformation by a level set approach with surface tension in three dimensions (2010)
  9. Liska, Richard; Shashkov, Mikhail; Váchal, Pavel; Wendroff, Burton: Optimization-based synchronized flux-corrected conservative interpolation (remapping) of mass and momentum for arbitrary Lagrangian-Eulerian methods (2010)
  10. Tomar, Gaurav; Fuster, Daniel; Zaleski, Stéphane; Popinet, Stéphane: Multiscale simulations of primary atomization (2010)
  11. Brochu, Tyson; Bridson, Robert: Robust topological operations for dynamic explicit surfaces (2009)
  12. Diwakar, S.V.; Das, Sarit K.; Sundararajan, T.: A quadratic spline based interface (QUASI) reconstruction algorithm for accurate tracking of two-phase flows (2009)
  13. Popinet, Stéphane: An accurate adaptive solver for surface-tension-driven interfacial flows (2009)
  14. Benson, David J.: Momentum advection on unstructured staggered quadrilateral meshes (2008)
  15. Dyadechko, Vadim; Shashkov, Mikhail: Reconstruction of multi-material interfaces from moment data (2008)
  16. Seifollahi, M.; Shirani, E.; Ashgriz, N.: An improved method for calculation of interface pressure force in PLIC-VOF methods (2008)
  17. Liovic, Petar; Lakehal, Djamel: Multi-physics treatment in the vicinity of arbitrarily deformable gas --- liquid interfaces (2007)
  18. Min, Chohong; Gibou, Frédéric: A second order accurate level set method on non-graded adaptive Cartesian grids (2007)
  19. Liovic, Petar; Rudman, Murray; Liow, Jong-Leng; Lakehal, Djamel; Kothe, Doug: A 3D unsplit-advection volume tracking algorithm with planarity-preserving interface reconstruction (2006)
  20. Shirani, E.; Ashgriz, N.; Mostaghimi, J.: Interface pressure calculation based on conservation of momentum for front capturing methods (2005)

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