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.
|Tijdschrift||The International Journal of Multiphysics|
|Nummer van het tijdschrift||3|
|Status||Gepubliceerd - 1 sep 2015|