Improvement of the Level-Set Ghost-Fluid Method for the Compressible Euler Equations

  • Christoph MüllerEmail author
  • Timon Hitz
  • Steven Jöns
  • Jonas Zeifang
  • Simone Chiocchetti
  • Claus-Dieter Munz
Conference paper
Part of the Fluid Mechanics and Its Applications book series (FMIA, volume 121)


This paper describes improvements of a level-set ghost-fluid algorithm in the scope of sharp interface multi-phase flow simulations. The method is used to simulate drop-drop and shock-drop interactions. Both, the level-set and the bulk phases are discretized by a high order discontinuous Galerkin spectral element method. The multi-phase interface and shocks are captured with a finite volume sub-cell method. The first improvement, is the use of the finite-volume sub-cells to capture discontinuities in the level-set equation. This allows the simulation of merging droplets. The second improvement is the introduction of an increased polynomial degree for the level-set equation in comparison to the Euler equations. The goal of this modification is to reduce parasitic currents. Additionally, the whole method is validated against experimental results.



C. Müller, J. Zeifang and S. Chiocchetti were supported by the German Research Foundation (DFG) though the project GRK 2160/1 “Droplet Interaction Technologies”. T. Hitz and S. Jöns were supported by the DFG through the project SFB-TRR 75 "Droplet Dynamics Under Extreme Ambient Conditions". The simulations were performed on the national supercomputer Cray XC40 (Hazel Hen) at the High Performance Computing Center Stuttgart (HLRS) under the grant number hpcmphas/44084.


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Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Christoph Müller
    • 1
    Email author
  • Timon Hitz
    • 1
  • Steven Jöns
    • 1
  • Jonas Zeifang
    • 1
  • Simone Chiocchetti
    • 2
  • Claus-Dieter Munz
    • 1
  1. 1.Institute of Aerodynamics and GasdynamicsStuttgartGermany
  2. 2.Department of Civil Environmental and Mechanical EngineeringLaboratory of Applied MathematicsTrentoItaly

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