Fluid Flow in a Cavity Driven by an Oscillating Lid by an Improved Incompressible SPH

In this paper, it adopts the improved incompressible smoothed particle hydrodynamics (SPH) method based the Rankine source decrease order technique, and some important numerical handling techniques will also be included, like solid boundary discrete scheme and higher order derivative approximation. The newly improve method will be applied to modeling lid drive flow. Although SPH has been established for simulation of lid drive flow inside a cavity, it has not yet been used to solve periodic flow situations in such case. We first validated the improved SPH simulation against benchmark solutions with experimental results and other numerical results with different Reynolds numbers. Then we analyzed the flow phenomena in a square cavity with an oscillating lid. According various comparisons, some features of this new SPH method will be given at last.