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. Diot, Steven; François, Marianne M.: An interface reconstruction method based on an analytical formula for 3D arbitrary convex cells (2016)
  3. Qiu, Linhai; Lu, Wenlong; Fedkiw, Ronald: An adaptive discretization of compressible flow using a multitude of moving Cartesian grids (2016)
  4. Owkes, Mark; Desjardins, Olivier: A mesh-decoupled height function method for computing interface curvature (2015)
  5. Theillard, Maxime; Gibou, Frédéric; Pollock, Tresa: A sharp computational method for the simulation of the solidification of binary alloys (2015)
  6. 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)
  7. Kucharik, Milan; Shashkov, Mikhail: Conservative multi-material remap for staggered multi-material arbitrary Lagrangian-Eulerian methods (2014)
  8. Owkes, Mark; Desjardins, Olivier: A computational framework for conservative, three-dimensional, unsplit, geometric transport with application to the volume-of-fluid (VOF) method (2014)
  9. Gibou, Frédéric; Min, Chohong; Fedkiw, Ron: High resolution sharp computational methods for elliptic and parabolic problems in complex geometries (2013)
  10. Velechovský, J.; Kuchařík, M.; Liska, R.; Shashkov, M.; Váchal, P.: Symmetry- and essentially-bound-preserving flux-corrected remapping of momentum in staggered ALE hydrodynamics (2013)
  11. 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)
  12. Verschaeve, Joris C.G.: High order interface reconstruction for the volume of fluid method (2011)
  13. Bailey, David; Berndt, Markus; Kucharik, Milan; Shashkov, Mikhail: Reduced-dissipation remapping of velocity in staggered arbitrary Lagrangian-Eulerian methods (2010)
  14. 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)
  15. 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)
  16. Tomar, Gaurav; Fuster, Daniel; Zaleski, Stéphane; Popinet, Stéphane: Multiscale simulations of primary atomization (2010)
  17. Brochu, Tyson; Bridson, Robert: Robust topological operations for dynamic explicit surfaces (2009)
  18. Diwakar, S.V.; Das, Sarit K.; Sundararajan, T.: A quadratic spline based interface (QUASI) reconstruction algorithm for accurate tracking of two-phase flows (2009)
  19. Popinet, Stéphane: An accurate adaptive solver for surface-tension-driven interfacial flows (2009)
  20. Benson, David J.: Momentum advection on unstructured staggered quadrilateral meshes (2008)

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