“…Since its invention, it has been extensively studied, extended and applied in many areas such as the dynamic response of elasto-plastic materials [18][19][20], free surface flows [21], low-Reynolds number viscous flows [22][23][24], solid friction [25], incompressible fluids [26,27], heat transfer [28], multi-phase flows [29,30], geophysical flows [31][32][33] and turbulence modeling [34]. Solid friction has often been studied using embedded atom methods, a method very similar in spirit to SPH [35]. It was not until 2002 that the first application of SPH for the simulation of viscoelastic flows was attempted by Ellero et al [36], where a corotational Jaumann-Maxwell model was used to describe the viscoelastic behavior of the fluid and a particularly simple time-dependent problem of the viscoelastic relaxation in a 2D channel was solved by SPH.…”