A novel generalized diffusive SPH model: Theoretical analysis and 3D HPC implementation

The role of time integration in energy conservation in Smoothed Particle Hydrodynamics fluid dynamics simulations

“…i.e., all SPH operators can be split in the effect of the interactions with other fluid particles and the interactions with the boundary. The latter may adopt a number of forms [40]. For the sake of simplicity, only the first, "bulk", part of the operators is considered in the main body of this article, and boundary effects are deferred to Appendix A.…”

“…Analyses of power balance in SPH have been carried out several times in the past, e.g. : [37,40,39]. Every time that the balance is revisited, new terms are included, and a better arrangement of the existing ones is proposed.…”

“…Diferent strategies may be used in order to satisfy (40) and ( 41) or, at least, reduce the difference between the actual and the SPH variation rates. In [54],…”

“…In such work, fluid extensions are considered, and extra energy terms are shown to appear due to interactions with the boundary. The investigation was also extended to other boundary formulations [40].…”

PySPH: A Python Framework for Smoothed Particle Hydrodynamics

“…There are various open-source software packages like DualSphysics [3], GADGET [5], and AquaGPUSph [4] among others which solve SPH problems efficiently. However, they are usually implemented in a lower-level programming language making it harder to extend and improve upon.…”