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. Braeunig, Jean-Philippe; Loubère, Raphaël; Motte, Renaud; Peybernes, Mathieu; Poncet, Raphaël: A posteriori limiting for 2D Lagrange plus remap schemes solving the hydrodynamics system of equations (2018)
  2. Gibou, Frederic; Fedkiw, Ronald; Osher, Stanley: A review of level-set methods and some recent applications (2018)
  3. 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)
  4. Owkes, Mark; Cauble, Eric; Senecal, Jacob; Currie, Robert A.: Importance of curvature evaluation scale for predictive simulations of dynamic gas-liquid interfaces (2018)
  5. Evrard, Fabien; Denner, Fabian; van Wachem, Berend: Estimation of curvature from volume fractions using parabolic reconstruction on two-dimensional unstructured meshes (2017)
  6. Ivey, Christopher B.; Moin, Parviz: Conservative and bounded volume-of-fluid advection on unstructured grids (2017)
  7. Marić, Tomislav: Lagrangian/Eulerian numerical methods for fluid interface advection on unstructured meshes (2017)
  8. Marschall, Holger; Falconi, Carlos; Lehrenfeld, Christoph; Abiev, Rufat; Wörner, Martin; Reusken, Arnold; Bothe, Dieter: Direct numerical simulations of Taylor bubbles in a square mini-channel: detailed shape and flow analysis with experimental validation (2017)
  9. Owkes, Mark; Desjardins, Olivier: A mass and momentum conserving unsplit semi-Lagrangian framework for simulating multiphase flows (2017)
  10. Vazquez-Gonzalez, T.; Llor, A.; Fochesato, C.: A novel GEEC (geometry, energy, and entropy compatible) procedure applied to a staggered direct-ALE scheme for hydrodynamics (2017)
  11. 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)
  12. Dakin, Gautier; Jourdren, Hervé: High-order accurate Lagrange-remap hydrodynamic schemes on staggered Cartesian grids (2016)
  13. Diot, Steven; François, Marianne M.: An interface reconstruction method based on an analytical formula for 3D arbitrary convex cells (2016)
  14. Qiu, Linhai; Lu, Wenlong; Fedkiw, Ronald: An adaptive discretization of compressible flow using a multitude of moving Cartesian grids (2016)
  15. Dieter-Kissling, Kathrin; Marschall, Holger; Bothe, Dieter: Direct numerical simulation of droplet formation processes under the influence of soluble surfactant mixtures (2015)
  16. Dieter-Kissling, Kathrin; Marschall, Holger; Bothe, Dieter: Numerical method for coupled interfacial surfactant transport on dynamic surface meshes of general topology (2015)
  17. Owkes, Mark; Desjardins, Olivier: A mesh-decoupled height function method for computing interface curvature (2015)
  18. Theillard, Maxime; Gibou, Frédéric; Pollock, Tresa: A sharp computational method for the simulation of the solidification of binary alloys (2015)
  19. 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)
  20. Kucharik, Milan; Shashkov, Mikhail: Conservative multi-material remap for staggered multi-material arbitrary Lagrangian-Eulerian methods (2014)

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