An Improved WCSPH Method to Simulate the Non-Newtonian Power Law Fluid Flow Induced by Motion of a Square Cylinder

In this study, an improved weakly compressible Smoothed Particle Hydrodynamics method is introduced and applied for investigation of the non-Newtonian power-law fluid flow which is induced by motion of a square cylinder. The method is based on a predictor-corrector scheme and pressure velocity coupling to overcome the non-physical fluctuations of WCSPH. The numerical method is also supported by the corrective tensors and shifting algorithm. The results are validated against the well known test cases and benchmark data. The square motion is tested in various Reynolds numbers for various power law indices. The results show that the drag coefficient increases by increasing the power-law index although there are some irregular behaviors for the lower power-law indices at higher Reynolds numbers.