Shocked Fluid/Fluid and Fluid/Solid Interactions Using a Conservative Level-Set Method

  • B. Obadia
  • P. T. Barton
  • D. Drikakis
Conference paper


Multimaterial problems have always been a challenging topic for research, due to both their complexity, and the range of applications concerned. Several ways of modelling have been developed for such problems during the last decades. From shock impacts between compressible fluids to fluid-structure interaction, with elasto-plastic deformations, several problems may arise. The relevant methods have to take into account the different behaviours that the materials can exhibit, whilst conserving a sharp and accurate interface. In this paper, a new 3D conservative method for interface tracking based on level-set functions is adressed. Each material is treated independently except at the interface where appropriate boundary conditions need to be specified.Solving the Riemann problem at the interface depends on the different set of equations for each component. A new Riemann solver dedicated on solid/fluid interactions has also been derived. Fluid behaviours are governed by the Euler equations, while a recently developed non-linear elasto-plastic model will be used for solids. The sharp interface method is based upon a strict finite volume evaluation of the governing constitutive laws on fixed Cartesian meshes.


Riemann Problem Riemann Solver Cartesian Mesh Shock Impact Helium Bubble 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • B. Obadia
    • 1
  • P. T. Barton
    • 2
  • D. Drikakis
    • 1
    • 3
  1. 1.School of EngineeringCranfield UniversityCranfieldUK
  2. 2.California Institute of TechnologyPasadenaUSA
  3. 3.Computation-based Science and Technology Research Centre (CaSToRC)The Cyprus InstituteNicosiaCyprus

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