A Consistent Spatially Adaptive Smoothed Particle Hydrodynamics Method for Fluid-Structure Interactions

TL;DR

This paper introduces a novel, second-order convergent, spatially adaptive SPH method for fluid-structure interactions that improves accuracy and efficiency by dynamically adjusting resolution around moving boundaries.

Contribution

It presents a new SPH framework that combines consistency, adaptivity, and acceleration for FSI problems, which was not achieved simultaneously in previous methods.

Findings

The method achieves second-order convergence.

It effectively adapts resolution around moving boundaries.

It reduces computational cost while maintaining accuracy.

Abstract

A new consistent, spatially adaptive, smoothed particle hydrodynamics (SPH) method for Fluid-Structure Interactions (FSI) is presented. The method combines several attributes that have not been simultaneously satisfied by other SPH methods. Specifically, it is second-order convergent; it allows for resolutions spatially adapted with moving (translating and rotating) boundaries of arbitrary geometries; and, it accelerates the FSI solution as the adaptive approach leads to fewer degrees of freedom without sacrificing accuracy. The key ingredients in the method are a consistent discretization of differential operators, a \textit{posteriori} error estimator/distance-based criterion of adaptivity, and a particle-shifting technique. The method is applied in simulating six different flows or FSI problems. The new method's convergence, accuracy, and efficiency attributes are assessed by comparing the results it produces with analytical, finite element, and consistent SPH uniform high-resolution solutions as well as experimental data.