Turbulent Details Simulation for SPH Fluids via Vorticity Refinement

TL;DR

This paper introduces a Vorticity Refinement (VR) solver for SPH fluids that enhances turbulence details by recovering vorticity dissipation with minimal computational cost, improving realism in fluid simulations.

Contribution

The paper presents a novel VR solver that efficiently enhances turbulence details in SPH fluids by using a stream function approach to recover vorticity, with easy integration into existing methods.

Findings

Enhances turbulence details without significant computational overhead.

Can amplify existing vortices and capture additional turbulence.

Easily integrated into current SPH frameworks.

Abstract

A major issue in Smoothed Particle Hydrodynamics (SPH) approaches is the numerical dissipation during the projection process, especially under coarse discretizations. High-frequency details, such as turbulence and vortices, are smoothed out, leading to unrealistic results. To address this issue, we introduce a Vorticity Refinement (VR) solver for SPH fluids with negligible computational overhead. In this method, the numerical dissipation of the vorticity field is recovered by the difference between the theoretical and the actual vorticity, so as to enhance turbulence details. Instead of solving the Biot-Savart integrals, a stream function, which is easier and more efficient to solve, is used to relate the vorticity field to the velocity field. We obtain turbulence effects of different intensity levels by changing an adjustable parameter. Since the vorticity field is enhanced according to the curl field, our method can not only amplify existing vortices, but also capture additional turbulence. Our VR solver is straightforward to implement and can be easily integrated into existing SPH methods.