Numerical Simulation of 3D Flow Impact Using a Turbulent SPH Method with a Riemann Solver

In this paper Weakly Compressible Smoothed Particle Hydrodynamics (WCSPH) method was used to simulate 3D flow impact. Due to large and non-realistic fluctuations in pressure and velocity field, conservative and non-conservative forms of Riemann Solvers were employed to modify the WCSPH method. When using the non-conservative form, the laminar and SPS turbulence terms were employed in momentum equations. Furthermore due to using of diffusion terms, kernel gradient correction was applied. However in conservative form the diffusion terms are removed. To validate the accuracy of the modified method, numerical results of a dam break flow against an obstacle were compared to experimental ones. The numerical results showed that using non-conservative Riemann solver is a reliable approach for computing total force and initial impact. Finally, it was compared with other SPH methods to investigate its primacy to them. Comparisons showed its satisfactory accuracy even in much less particle numbers.