Stability and accuracy of the weakly compressible SPH with particle regularization techniques

This paper proposes and validates two new particle regularization techniques for the Smoothed Particle Hydrodynamics (SPH) numerical method to improve its stability accuracy free surface flow simulations. We introduce a general form of Dynamic pair-wise Collision (DPC) technique that we recently proposed in context Moving Semi-implicit (MPS) [1]. The DPC coupled with standard Shifting (PS) has given rise hybrid approach propose alleviate clustering issues free-surface splashed regions. validate four benchmark cases: (i) oscillating droplet, (ii) two-dimensional water dam-break, (iii) sloshing, (iv) three-dimensional dam break against rigid obstacle. evaluate their impacts on stability, conservation properties test cases. qualitative quantitative analysis results shows despite simplicity, is more effective reducing spatial disorder capturing impact events compared newly improved PS methods. Although improves distribution at surface, it still suffers from inconsistent implementation equation which unphysically increases fluid volume violates potential energy long-term Overall, conservative algorithm proves be simple efficient alternative simulating such highly dynamic flows.