Modification of weakly compressible smoothed particle hydrodynamics for preservation of angular momentum in simulation of impulsive wave problems

In this work, Weakly Compressible Smoothed Particle Hydrodynamics (WCSPH) is applied for numerical simulation of impulsive wave. Properties of linear and angular momentum in WCSPH formulation are studied. Kernel gradient of viscous term in momentum equation is corrected to ensure preservation of angular momentum. Corrected WCSPH method is used to simulate solitary Scott Russell wave and applied to simulate impulsive wave generated by two-dimensional under water landslide. In each of the test cases, results of corrected WCSPH are compared with experimental results. The results of the numerical simulations and experimental works are matched and a satisfactory agreement is observed. Furthermore, vorticity contours computed by the corrected WCSPH are compared with uncorrected WCSPH so that the effect of corrective term on preservation of angular momentum is illustrated. Numerical model is also applied for simulation of water entry of half buoyant circular cylinder into initially calm water. Comparison between experimental and computational results proves applicability of the WCSPH method for simulation of these kinds of problems.