Smoothed particle hydrodynamics with adaptive spatial resolution (SPH-ASR) for free surface flows

TL;DR

This paper introduces SPH-ASR, an adaptive smoothed particle hydrodynamics method that dynamically adjusts spatial resolution for efficient and accurate simulation of free surface flows, reducing computational costs.

Contribution

The paper presents a novel adaptive SPH method with particle splitting and merging based on proximity to free surfaces, enhancing efficiency and accuracy over traditional uniform resolution approaches.

Findings

SPH-ASR reduces computational costs compared to uniform resolution methods.

The method maintains high accuracy in free surface flow simulations.

Validation shows good agreement with experimental data.

Abstract

A numerical method based on smoothed particle hydrodynamics with adaptive spatial resolution (SPH-ASR) was developed for simulating free surface flows. This method can reduce the computational demands while maintaining the numerical accuracy. In this method, the spatial resolution changes adaptively according to the distance to the free surface by numerical particle splitting and merging. The particles are split for refinement when they are near the free surface, while they are merged for coarsening when they are away from the free surface. A search algorithm was implemented for identifying the particles at the free surface. A particle shifting technique, considering variable smoothing length, was introduced to improve the particle distribution. The presented SPH-ASR method was validated by simulating various free surface flows, and the results were compared to those obtained using SPH with uniform spatial resolution (USR) and experimental data.