Dual-Time Smoothed Particle Hydrodynamics for Incompressible Fluid Simulation

In this paper we propose a dual-time stepping scheme for the Smoothed Particle Hydrodynamics (SPH) method. Dual-time stepping has been used in the context of other numerical methods for the simulation of incompressible fluid flows. Here we provide a carefully derived scheme suitable for implementation in time-accurate SPH simulations. We demonstrate several benchmarks showing the applicability of the scheme. The method is accurate, robust, and demonstrates up to an order of magnitude better performance than the standard weakly-compressible formulation. In addition, we provide a completely open source implementation and a reproducible manuscript.