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. Larios-Cárdenas, Luis Ángel; Gibou, Frederic: A deep learning approach for the computation of curvature in the level-set method (2021)
  2. Lespagnol, Fabien; Dakin, Gautier: High order accurate schemes for Euler and Navier-Stokes equations on staggered Cartesian grids (2020)
  3. Dakin, Gautier; Després, Bruno; Jaouen, Stéphane: High-order staggered schemes for compressible hydrodynamics. Weak consistency and numerical validation (2019)
  4. Gibou, Frederic; Hyde, David; Fedkiw, Ron: Sharp interface approaches and deep learning techniques for multiphase flows (2019)
  5. Malan, L. C.; Ling, Y.; Scardovelli, R.; Llor, A.; Zaleski, S.: Detailed numerical simulations of pore competition in idealized micro-spall using the VOF method (2019)
  6. Marboeuf, Alexis; Claisse, Alexandra; Le Tallec, Patrick: Conservative and entropy controlled remap for multi-material ALE simulations with space-staggered schemes (2019)
  7. Barlow, Andrew; Klima, Matej; Shashkov, Mikhail: Constrained optimization framework for interface-aware sub-scale dynamics models for voids closure in Lagrangian hydrodynamics (2018)
  8. 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)
  9. Gibou, Frederic; Fedkiw, Ronald; Osher, Stanley: A review of level-set methods and some recent applications (2018)
  10. Marić, Tomislav; Marschall, Holger; Bothe, Dieter: An enhanced un-split face-vertex flux-based VoF method (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. Owkes, Mark; Cauble, Eric; Senecal, Jacob; Currie, Robert A.: Importance of curvature evaluation scale for predictive simulations of dynamic gas-liquid interfaces (2018)
  13. Williams, R. J. R.: Sub-grid properties and artificial viscous stresses in staggered-mesh schemes (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. Marić, Tomislav: Lagrangian/Eulerian numerical methods for fluid interface advection on unstructured meshes (2017)
  17. 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)
  18. Owkes, Mark; Desjardins, Olivier: A mass and momentum conserving unsplit semi-Lagrangian framework for simulating multiphase flows (2017)
  19. 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)
  20. 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)

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