smoothed particle hydrodynamics (SPH) has notable advantages in problems of complex flows with free surface and/or moveable interface. With the improvement in its accuracy and stability
the SPH method has been extensively used in different areas of science and engineering. The recent advances in SPH fundamentals are presented
with emphasis on interfacial flows
fluid-structure interaction
and non-Newtonian fluids. Finally
future development of the SPH method is prospected.