How to derive the multi-fluid delta-SPH model

The present work is dedicated to a weakly-compressible multi-fluid SPH model where a diffusive operator is used in the Volumetric Strain Rate equation in order to remove instabilities from the pressure field. The present model is obtained through a combination of other exiting models [1]- [6]. The new proposed scheme is validated through numerous well-known benchmarks showing that we are able to recover the results already present in the literature but improving the solution of the pressure field.