# Dual-Time Smoothed Particle Hydrodynamics for Incompressible Fluid Simulation

## TL;DR

This paper introduces a dual-time stepping scheme combined with EDAC for SPH, significantly improving accuracy and performance in incompressible fluid simulations, with open-source implementation and benchmark validation.

## Contribution

It presents a novel dual-time SPH scheme with EDAC, enhancing accuracy and efficiency over traditional methods for incompressible fluid simulation.

## Key findings

- Up to seven times better performance than standard SPH
- Accurate and robust simulation results
- Open-source implementation available

## Abstract

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.