Smooth particle hydrodynamics: status and future potential

An improved SPH method for modeling liquid sloshing dynamics

“…The SPH method was originally invented to solve astrophysical problems in the open space such as binary stars, stellar collisions and motion near black holes. Later, it has been extensively studied and extended to different problems in engineering and sciences, such as multi-phase [22,23] and multi-scale [24] flows, high strain hydrodynamics with material strength [25][26][27][28], explosion and underwater explosion [29][30][31], and many others [32][33][34]. As a comparatively new computational method, SPH combines the advantages of meshfree, Lagrangian and particle methods.…”

Towards a virtual comminution machine

“…Models based on computational fluid dynamics (CFD) are not well suited to the high shear, high viscosity environment with complex free surface behaviour found in wet tumbling mills. DEM can be adapted to fluid modelling using Smoothed Particle Hydrodynamics (SPH), see Cleary (1998) and Cleary et al (2007). The shear dependant viscosity model developed by Shi and NapierMunn (2002) has been implemented in the CMIS code using SPH as a way to model mineral slurries.…”

A new kernel function for SPH with applications to free surface flows

“…The meshfree nature of SPH method remove the difficulties due to large deformations since SPH uses particle rather than mesh as a computational frame to approximate related governing equations. These nice features of SPH make it fairly attractive in modeling problems with deformable boundaries, moving interfaces, free surfaces and large deformations [3][4][5][6].…”

“…SPH was originally invented to solve astrophysical problems in open space [1,2] and it was later extended to simulate many other compressible flows such as shock problems [3][4][5][6][7]. By treating the flow as slightly compressible with an appropriate equation of state, the SPH method can be used to simulate incompressible flows successfully [8,9].…”

“…SPH was also expended to simulate multi-phase flows with sharp interfaces [14][15][16]. More details of the SPH method and its recent developments can be found in a number of review papers [4][5][6]17].…”