Dual-time smoothed particle hydrodynamics for incompressible fluid simulation

•New and novel scheme based on dual-time stepping but applied to the Smoothed Particle Hydrodynamics method.•At least as accurate as the traditional weakly-compressible scheme but anywhere between 3–7.5 times faster.•Robust scheme that works for a variety of problems in two and three dimensions.•Formulation general enough to be used with a variety of different SPH discretizations. 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 scheme that combines the entropically damped artificial compressibility (EDAC) along with dual-time stepping. The method is accurate, robust, and demonstrates up to seven times better performance than the standard weakly-compressible formulation. We demonstrate several benchmarks showing the applicability of the scheme. In addition, we provide a completely open source implementation and a reproducible manuscript.