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Validation of robust SPH schemes for fully compressible multiphase flows

type de publication      article dans une revue internationale avec comité de lecture
date de publication 2015
auteur(s) Zisis Iason; Messahel Ramzi; Boudlal Abdelaziz; Van Der Linden Bas; Koren Barry
journal (abréviation) International Journal of Multiphysics (International Journal of Multiphysics, The)
volume (numéro) 9 (3)
  
pages 225 – 234
résumé The present study examines the ability of the SPH number-density scheme to treat multiphase problems of the fully compressible regime. The number-density scheme is extended to the fully compressible regime, using the standard variational SPH framework and incorporate artificial diffusion coming from a generic formula. Aiming at robust schemes, we adopt the differential form of mass conservation. The performance of this scheme is studied with the help of two benchmark tests. It is shown that the standard variational framework of SPH may treat multiphase processes in the fully compressible regime, without reverting to non-standard formulations. The SPH solutions are compared to solutions coming from the Arbitrary Lagrangian Eulerian method and are validated against exact solutions.
mots clés Arbitrary Lagrangian Eulerian method; Artificial diffusion; Benchmark tests; Differential forms; Generic formula; Mass conservation; Multiphase process; Variational framework
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