Dual-support Smoothed Particle Hydrodynamics

TL;DR

This paper introduces a dual-support smoothed particle hydrodynamics method that conserves physical quantities with varying smoothing lengths and enhances computational efficiency, demonstrated through numerical examples.

Contribution

The paper presents a novel DS-SPH formulation that maintains conservation laws and improves efficiency with minimal modifications to traditional SPH.

Findings

Conservation of momentum, angular momentum, and energy is achieved.

The method demonstrates improved computational efficiency.

Numerical examples validate the effectiveness of DS-SPH.

Abstract

In this paper we develop a dual-support smoothed particle hydrodynamics (DS-SPH) that naturally satisfies the conservation of momentum, angular momentum and energy when the varying smoothing length is utilized. The DS-SPH is based on the concept of dual-support, which is introduced to consider the unbalanced interactions between the particles with different smoothing lengths. Our DS-SPH formulation can be implemented in traditional SPH with little changes and improve the computational efficiency. Several numerical examples are presented to demonstrate the capability of the method.