A multi-resolution SPH method for fluid-structure interactions

TL;DR

This paper introduces a multi-resolution SPH method for fluid-structure interaction problems, improving accuracy and efficiency by using different resolutions for fluid and solid components, with a focus on conservation and force matching.

Contribution

The paper proposes a novel multi-resolution SPH approach with a position-based Verlet scheme and force matching techniques for enhanced FSI simulation accuracy.

Findings

Demonstrates improved accuracy and robustness in bio-mechanical FSI problems

Provides an open-source implementation for reproducibility

Shows efficiency gains through multi-resolution discretization

Abstract

In this paper, we present a multi-resolution smoothed particle hydrodynamics (SPH) method for modeling fluid-structure interaction (FSI) problems. By introducing different smoothing lengths and time steps, the spatio-temporal discretization is applied with different resolutions for fluid and structure. To ensure momentum conservation at the fluid-structure coupling, a position-based Verlet time integration scheme is introduced. Furthermore, the time-averaged velocity and acceleration of solid particles are introduced to enhance force matching in the fluid and solid equations. A set of numerical examples including several bio-mechanical problems are considered to demonstrate the efficiency, accuracy and robustness of the present method. A open-source code for all the examples is also provided.